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Search Results (492)

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Keywords = prescribed performance control

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13 pages, 295 KiB  
Article
Benefits and Harms of Antibiotic Use in End-of-Life Patients: Retrospective Study in Palliative Care
by Rita Faustino Silva, Joana Brandão Silva, António Pereira Neves, Daniel Canelas, João Rocha Neves, José Paulo Andrade, Marília Dourado and Hugo Ribeiro
Antibiotics 2025, 14(8), 782; https://doi.org/10.3390/antibiotics14080782 (registering DOI) - 1 Aug 2025
Abstract
Context: Many patients at the end of life receive antibiotics to alleviate symptoms and improve quality of life; however, clear guidelines supporting decision making about the use of antibiotics are still lacking. Objectives: This study aimed to evaluate the benefits and harms of [...] Read more.
Context: Many patients at the end of life receive antibiotics to alleviate symptoms and improve quality of life; however, clear guidelines supporting decision making about the use of antibiotics are still lacking. Objectives: This study aimed to evaluate the benefits and harms of antibiotic use among patients under a palliative care community support team in Portugal. Methods: An observational, cross-sectional, retrospective study was conducted on 249 patients who died over a two-year period, having been followed for at least 30 days prior to their death. Data included patient demographics, clinical diagnoses, antibiotic prescriptions, and symptomatic outcomes. The effects of commonly prescribed antibiotics—amoxicillin + clavulanic acid, cefixime, ciprofloxacin, and levofloxacin—were compared using statistical analyses to assess survival, symptom intensity, and functional scales. Results: Adverse events, primarily infections and secretions, occurred in 57.8% of cases, with 33.7% receiving antibiotics. No significant difference in survival was observed across the antibiotic groups (p = 0.990). Symptom intensity significantly reduced after 72 h of treatment (p < 0.05), with ciprofloxacin demonstrating the greatest symptom control. The Palliative Outcome Scale decreased uniformly, with higher scores associated with amoxicillin + clavulanic acid (p = 0.004). The Palliative Performance Scale declined post-treatment, with significant changes noted for cefixime and ciprofloxacin (p < 0.05). Conclusions: Antibiotics may improve symptom control and quality of life in the end-of-life stage. While second-line antibiotics may offer additional benefits, the heterogeneity of the sample and limited adverse effect data underscore the need for further research to guide appropriate prescription practices in palliative care. Full article
16 pages, 3001 KiB  
Article
Tractor Path Tracking Control Method Based on Prescribed Performance and Sliding Mode Control
by Liwei Zhu, Weiming Sun, Qian Zhang, En Lu, Jialin Xue and Guohui Sha
Agriculture 2025, 15(15), 1663; https://doi.org/10.3390/agriculture15151663 - 1 Aug 2025
Abstract
In addressing the challenges of low path tracking accuracy and poor robustness during tractor autonomous operation, this paper proposes a path tracking control method for tractors that integrates prescribed performance with sliding mode control (SMC). A key feature of this control method is [...] Read more.
In addressing the challenges of low path tracking accuracy and poor robustness during tractor autonomous operation, this paper proposes a path tracking control method for tractors that integrates prescribed performance with sliding mode control (SMC). A key feature of this control method is its inherent immunity to system parameter perturbations and external disturbances, while ensuring path tracking errors are constrained within a predefined range. First, the tractor is simplified into a two-wheeled vehicle model, and a path tracking error model is established based on the reference operation trajectory. By defining a prescribed performance function, the constrained tracking control problem is transformed into an unconstrained stability control problem, guaranteeing the boundedness of tracking errors. Then, by incorporating SMC theory, a prescribed performance sliding mode path tracking controller is designed to achieve robust path tracking and error constraint for the tractor. Finally, both simulation and field experiments are conducted to validate the method. The results demonstrate that compared with the traditional SMC method, the proposed method effectively mitigates the impact of complex farmland conditions, reducing path tracking errors while enforcing strict error constraints. Field experiment data shows the proposed method achieves an average absolute error of 0.02435 m and a standard deviation of 0.02795 m, confirming its effectiveness and superiority. This research lays a foundation for the intelligent development of agricultural machinery. Full article
(This article belongs to the Section Agricultural Technology)
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22 pages, 1725 KiB  
Article
Whole-Body Vision/Force Control for an Underwater Vehicle–Manipulator System with Smooth Task Transitions
by Jie Liu, Guofang Chen, Fubin Zhang and Jian Gao
J. Mar. Sci. Eng. 2025, 13(8), 1447; https://doi.org/10.3390/jmse13081447 - 29 Jul 2025
Viewed by 78
Abstract
Robots with multiple degrees of freedom (DOFs), such as underwater vehicle–manipulator systems (UVMSs), are expected to optimize system performance by exploiting redundancy with various basic tasks while still fulfilling the primary objective. Multiple tasks for robots, which are expected to be carried out [...] Read more.
Robots with multiple degrees of freedom (DOFs), such as underwater vehicle–manipulator systems (UVMSs), are expected to optimize system performance by exploiting redundancy with various basic tasks while still fulfilling the primary objective. Multiple tasks for robots, which are expected to be carried out simultaneously with prescribed priorities, can be referred to as sets of tasks (SOTs). In this work, a hybrid vision/force control method with continuous task transitions is proposed for a UVMS to simultaneously track the reference vision and force trajectory during manipulation. Several tasks with expected objectives and specific priorities are established and combined as SOTs in hybrid vision/force tracking. At different stages, various SOTs are carried out with different emphases. A hierarchical optimization-based whole-body control framework is constructed to obtain the solution in a strictly hierarchical fashion. A continuous transition method is employed to mitigate oscillations during the task switching phase. Finally, comparative simulation experiments are conducted and the results verify the improved convergence of the proposed tracking controller for UVMSs. Full article
(This article belongs to the Section Ocean Engineering)
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21 pages, 2030 KiB  
Article
Restoring Balance: Probiotic Modulation of Microbiota, Metabolism, and Inflammation in SSRI-Induced Dysbiosis Using the SHIME® Model
by Marina Toscano de Oliveira, Fellipe Lopes de Oliveira, Mateus Kawata Salgaço, Victoria Mesa, Adilson Sartoratto, Kalil Duailibi, Breno Vilas Boas Raimundo, Williams Santos Ramos and Katia Sivieri
Pharmaceuticals 2025, 18(8), 1132; https://doi.org/10.3390/ph18081132 - 29 Jul 2025
Viewed by 330
Abstract
Background/Objectives: Selective serotonin reuptake inhibitors (SSRIs), widely prescribed for anxiety disorders, may negatively impact the gut microbiota, contributing to dysbiosis. Considering the gut–brain axis’s importance in mental health, probiotics could represent an effective adjunctive strategy. This study evaluated the effects of Lactobacillus helveticus [...] Read more.
Background/Objectives: Selective serotonin reuptake inhibitors (SSRIs), widely prescribed for anxiety disorders, may negatively impact the gut microbiota, contributing to dysbiosis. Considering the gut–brain axis’s importance in mental health, probiotics could represent an effective adjunctive strategy. This study evaluated the effects of Lactobacillus helveticus R0052 and Bifidobacterium longum R0175 on microbiota composition, metabolic activity, and immune markers in fecal samples from patients with anxiety on SSRIs, using the SHIME® (Simulator of the Human Intestinal Microbial Ecosystem) model. Methods: The fecal microbiotas of four patients using sertraline or escitalopram were inoculated in SHIME® reactors simulating the ascending colon. After stabilization, a 14-day probiotic intervention was performed. Microbial composition was assessed by 16S rRNA sequencing. Short-chain fatty acids (SCFAs), ammonia, and GABA were measured, along with the prebiotic index (PI). Intestinal barrier integrity was evaluated via transepithelial electrical resistance (TEER), and cytokine levels (IL-6, IL-8, IL-10, TNF-α) were analyzed using a Caco-2/THP-1 co-culture system. The statistical design employed in this study for the analysis of prebiotic index, metabolites, intestinal barrier integrity and cytokines levels was a repeated measures ANOVA, complemented by post hoc Tukey’s tests to assess differences across treatment groups. For the 16S rRNA sequencing data, alpha diversity was assessed using multiple metrics, including the Shannon, Simpson, and Fisher indices to evaluate species diversity, and the Chao1 and ACE indices to estimate species richness. Beta diversity, which measures microbiota similarity across groups, was analyzed using weighted and unweighted UniFrac distances. To assess significant differences in beta diversity between groups, a permutational multivariate analysis of variance (PERMANOVA) was performed using the Adonis test. Results: Probiotic supplementation increased Bifidobacterium and Lactobacillus, and decreased Klebsiella and Bacteroides. Beta diversity was significantly altered, while alpha diversity remained unchanged. SCFA levels increased after 7 days. Ammonia levels dropped, and PI values rose. TEER values indicated enhanced barrier integrity. IL-8 and TNF-α decreased, while IL-6 increased. GABA levels remained unchanged. Conclusions: The probiotic combination of Lactobacillus helveticus R0052 and Bifidobacterium longum R0175 modulated gut microbiota composition, metabolic activity, and inflammatory responses in samples from individuals with anxiety on SSRIs, supporting its potential as an adjunctive strategy to mitigate antidepressant-associated dysbiosis. However, limitations—including the small pooled-donor sample, the absence of a healthy control group, and a lack of significant GABA modulation—should be considered when interpreting the findings. Although the SHIME® model is considered a gold standard for microbiota studies, further clinical trials are necessary to confirm these promising results. Full article
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18 pages, 1543 KiB  
Article
Research on Trajectory Tracking Control of Driverless Electric Formula Racing Cars Based on Prescribed Performance and Fuzzy Logic Systems
by Xinyu Liu, Gang Li, Hao Qiao and Wanbo Cui
World Electr. Veh. J. 2025, 16(8), 424; https://doi.org/10.3390/wevj16080424 - 28 Jul 2025
Viewed by 90
Abstract
Driverless electric formula racing cars are affected by nonlinear vehicle characteristics, perturbations, and parameter uncertainties during races, which can cause problems such as low accuracy and instability in trajectory tracking. Aiming to address such problems, this paper proposes a control method combining a [...] Read more.
Driverless electric formula racing cars are affected by nonlinear vehicle characteristics, perturbations, and parameter uncertainties during races, which can cause problems such as low accuracy and instability in trajectory tracking. Aiming to address such problems, this paper proposes a control method combining a prescribed performance control with adaptive backstepping fuzzy control (PPC-ABFC) to solve the aforementioned issues and improve the trajectory tracking accuracy and stability of racing cars. This control method is achieved by constructing a combined error model and confining the error within a prescribed performance function. The nonlinear terms, disturbances, and unknown parameters of the model are approximated by a fuzzy logic system (FLS). An adaptive parameter update law is designed to update the learning parameters in real time. The virtual control law and the real control law were designed by using the backstepping method. The stability of the PPC-ABFC closed-loop system was rigorously proved by applying the Lyapunov stability theory. Finally, simulations were conducted to compare the proposed PPC-ABFC method with other algorithms at different speeds. The results demonstrated that the PPC-ABFC method effectively enhances the trajectory tracking performance of driverless electric formula racing cars. Full article
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15 pages, 3131 KiB  
Article
Real-Time Experiments for Decentralized Adaptive Synchronized Motion Control of a Closed-Kinematic Chain Mechanism Robot Manipulator
by Charles C. Nguyen, Tri T. Nguyen, Tu T. C. Duong, Tuan M. Nguyen, Ha T. T. Ngo and Lu Sun
Machines 2025, 13(8), 652; https://doi.org/10.3390/machines13080652 - 25 Jul 2025
Viewed by 215
Abstract
This paper presents the results of real-time experiments conducted to evaluate the performance of a developed adaptive control scheme applied to control the motion of a real closed-kinematic chain mechanism (CKCM) robot manipulator with two degrees of freedom (DOFs). The developed control scheme, [...] Read more.
This paper presents the results of real-time experiments conducted to evaluate the performance of a developed adaptive control scheme applied to control the motion of a real closed-kinematic chain mechanism (CKCM) robot manipulator with two degrees of freedom (DOFs). The developed control scheme, referred to as the decentralized adaptive synchronized control scheme (DASCS), was the result of the combination of model reference adaptive control (MRAC) based on the Lyapunov direct method and the synchronization technique. CKCM manipulators were considered in the experimental study due to their advantages over their open-kinematic chain mechanism (OKCM) manipulator counterparts, such as higher stiffness, better stability, and greater payload. The conducted computer simulation study showed that the DASCS was able to asymptotically converge tracking errors to zero, with all the active joints moving synchronously in a prescribed way. One of the important properties of the DASCS is the independence of robot manipulator dynamics, making it computationally efficient and therefore suitable for real-time applications. The present paper reports findings from experiments in which the DASCS was applied to control the above manipulator and carry out various paths. The DASCS’s performance was compared with that of a traditional adaptive control scheme, namely the SMRACS, when both schemes were applied to track the same paths. Full article
(This article belongs to the Section Automation and Control Systems)
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20 pages, 5315 KiB  
Article
Finite-Time Tracking Control in Robotic Arm with Physical Constraints Under Disturbances
by Jiacheng Lou, Xuecheng Wen and Sergei Shavetov
Mathematics 2025, 13(15), 2336; https://doi.org/10.3390/math13152336 - 22 Jul 2025
Viewed by 191
Abstract
This paper proposes a novel control algorithm for robotic manipulators with unknown nonlinearities and external disturbances. Explicit consideration is given to the physical constraints on joint positions and velocities, ensuring tracking performance without violating prescribed constraints. Finite-time convergence entails significant overshoot magnitudes. A [...] Read more.
This paper proposes a novel control algorithm for robotic manipulators with unknown nonlinearities and external disturbances. Explicit consideration is given to the physical constraints on joint positions and velocities, ensuring tracking performance without violating prescribed constraints. Finite-time convergence entails significant overshoot magnitudes. A class of nonlinear transformations is employed to ensure state constraint satisfaction while achieving prescribed tracking performance. The command filtered backstepping is employed to circumvent issues of “explosion of terms” in virtual controls. A disturbance observer (DOB), constructed via radial basis function neural networks (RBFNNs), effectively compensates for nonlinearities and time-dependent disturbances. The proposed control law guarantees finite-time stability while preventing position/velocity violations during transients. Simulation results validate the effectiveness of the proposed approach. Full article
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25 pages, 912 KiB  
Article
Association of SLCO1B3 and SLCO1B1 Polymorphisms with Methotrexate Efficacy and Toxicity in Saudi Rheumatoid Arthritis Patients
by Rania Magadmi, Ahlam M. Alharthi, Lina A. Alqurashi, Ibtisam M. Jali, Zeina W. Sharawi, Maha H. Jamal, Yasser Bawazir, Mohammad Mustafa, Sami M. Bahlas, Basma T. Jamal, Hassan Daghasi, Abdulrahman S. Altowairqi and Dalal Sameer Al Shaer
Pharmaceuticals 2025, 18(7), 1069; https://doi.org/10.3390/ph18071069 - 20 Jul 2025
Viewed by 321
Abstract
Background: Methotrexate (MTX) remains the most commonly prescribed drug used to treat rheumatoid arthritis (RA). Polymorphisms in solute carrier organic anion transporter family member 1B3 (SLCO1B3) and SLCO1B1 may play a critical role in MTX pharmacokinetics and patient outcomes. However, research [...] Read more.
Background: Methotrexate (MTX) remains the most commonly prescribed drug used to treat rheumatoid arthritis (RA). Polymorphisms in solute carrier organic anion transporter family member 1B3 (SLCO1B3) and SLCO1B1 may play a critical role in MTX pharmacokinetics and patient outcomes. However, research on these polymorphisms in Saudi Arabia remains limited. We evaluated the association of SLCO1B3 (rs4149117, rs7311358) and SLCO1B1 (rs2306283, rs4149056) polymorphisms with MTX efficacy and safety in Saudi patients with RA. Methods: This multicenter, case-control study included patients diagnosed with RA in Jeddah and Taif. Demographic and clinical data were collected and analyzed. Genotyping of SLCO1B3 (rs4149117, rs7311358) and SLCO1B1 (rs2306283, rs4149056) polymorphisms was performed using Sanger sequencing. Statistical analyses, including logistic regression and haplotype analysis, were conducted to evaluate associations between these polymorphisms, MTX efficacy, and toxicity. Results: The study cohort comprised 100 patients with RA, with 46 showing a good response to MTX and 54 showing a poor response. Clinical predictors of MTX response were significantly higher in patients with poor response. Both SLCO1B3 polymorphisms (rs4149117, rs7311358) were significantly associated with anemia. Significant associations were found between SLCO1B1 (rs2306283) and gastrointestinal disturbances and anemia. The GAAT haplotype was significantly more prevalent among good responders, while the TGGT haplotype was significantly associated with poor responders. Conclusions: These results highlight the importance of genetic testing in predicting MTX treatment outcomes and tailoring personalized treatment plans for patients with RA to improve efficacy and minimize adverse effects. Full article
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15 pages, 1526 KiB  
Systematic Review
Weight Loss Effects of Once-Weekly Semaglutide 2.4 mg in Adults with and Without Type 2 Diabetes: A Systematic Review and Meta-Analysis
by Boram Hong, Haesoo Kim, Daeun Lee and Kisok Kim
Pharmaceuticals 2025, 18(7), 1058; https://doi.org/10.3390/ph18071058 - 18 Jul 2025
Viewed by 815
Abstract
Background/Objectives: Semaglutide, a glucagon-like peptide-1 receptor (GLP-1R) agonist, is a well-established pharmacologic agent for inducing weight loss in individuals with obesity and is prescribed regardless of type 2 diabetes mellitus (DM) status. However, it remains unclear whether the weight-lowering efficacy of semaglutide [...] Read more.
Background/Objectives: Semaglutide, a glucagon-like peptide-1 receptor (GLP-1R) agonist, is a well-established pharmacologic agent for inducing weight loss in individuals with obesity and is prescribed regardless of type 2 diabetes mellitus (DM) status. However, it remains unclear whether the weight-lowering efficacy of semaglutide differs significantly between individuals with and without DM. To address this question, we conducted a systematic review and meta-analysis comparing the effects of once-weekly subcutaneous semaglutide at 2.4 mg on weight loss in adults with and without DM. Methods: A comprehensive literature search was performed using the PubMed database to identify randomized controlled trials (RCTs) involving overweight or obese adults receiving semaglutide at 2.4 mg weekly for 40 to 70 weeks. Using a random-effects model, we estimated the weighted mean differences in body weight reduction between the two groups. Nine RCTs met the inclusion criteria, among which two provided subgroup data for participants with and without DM within the same trial population. Registration number in PROSPERO: CRD420251077610. Results: In participants with DM (n = 4 studies), semaglutide was associated with a weighted mean body weight reduction of −6.34% (95% confidence interval: −6.98 to −5.69), with negligible heterogeneity across studies (I2 = 0.0%). By contrast, among participants without DM (n = 7 studies), the weighted estimate of weight loss was −11.57% (95% confidence interval: −12.94 to −10.19), with moderate heterogeneity observed (I2 = 63.6%). Conclusions: The observed difference in weight loss efficacy between the groups was clinically meaningful. While once-weekly semaglutide at 2.4 mg elicited significant weight loss in both populations, the magnitude of effect was notably greater in those without DM. This disparity may be explained by metabolic characteristics frequently present in individuals with DM, such as insulin resistance, hyperinsulinemia, and compensatory mechanisms related to glycemic control. Full article
(This article belongs to the Section Pharmacology)
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10 pages, 1098 KiB  
Article
Pemigatinib in the Real-World Management of Cholangiocarcinoma Through a Canadian Patient Support Program
by Philip Q. Ding, Vincent C. Tam, Ravi Ramjeesingh, Jamil Asselah, Brandon S. Sheffield, Taylor Mitchell, Anne-Julie Gaudreau, Jennifer J. Knox and Winson Y. Cheung
Curr. Oncol. 2025, 32(7), 405; https://doi.org/10.3390/curroncol32070405 - 16 Jul 2025
Viewed by 318
Abstract
Background: In September 2021, pemigatinib received Health Canada approval for previously treated locally advanced/metastatic cholangiocarcinoma (CCA) with FGFR2 rearrangements/fusions. This retrospective study aimed to characterize the real-world management and outcomes of patients with CCA receiving pemigatinib through a Canadian patient support program (PSP). [...] Read more.
Background: In September 2021, pemigatinib received Health Canada approval for previously treated locally advanced/metastatic cholangiocarcinoma (CCA) with FGFR2 rearrangements/fusions. This retrospective study aimed to characterize the real-world management and outcomes of patients with CCA receiving pemigatinib through a Canadian patient support program (PSP). Methods: We evaluated a multi-centre case series of Canadian patients who were prescribed pemigatinib between September 2021 and January 2023 for eligible CCA diagnoses and enrolled in the PSP. The retrospective study data included demographic and disease-, treatment-, and outcome-related information, and these were collected using a survey of prescribing physicians. Results: Of the 26 patients who initiated pemigatinib in the PSP, we received survey responses for 18 (69%). Their median age was 57 years, 67% were female, 61% had stage IV disease, and 83% had intrahepatic CCA. Prior to pemigatinib, a partial hepatectomy was performed in 44% of the patients, and 66% of the patients received 2–4 prior lines of systemic therapy. All patients were treated with platinum-based regimens as the first-line treatment for unresectable/metastatic disease. The median follow-up time on pemigatinib was 12.6 (range: 2.3–28.4) months, and their median real-world progression-free survival (rwPFS) was 12.1 months (95% CI 7.2-NR). The physician-assessed objective response and disease control rates were 56% and 89%, respectively. For the nine patients who discontinued pemigatinib, the median treatment duration was 10.6 months (range: 0.8–21.7). Disease progression was the most common reason for discontinuation (89%). None discontinued due to adverse events. Conclusions: Objective response rates, disease control rates, and a PFS comparable to that in the phase 2 FIGHT-202 trial was reported with pemigatinib use in this Canadian PSP cohort. Full article
(This article belongs to the Special Issue Biliary Tract Cancer Updates: Advancements and Insights)
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16 pages, 1998 KiB  
Article
Marginal Design of a Pneumatic Stage Position Using Filtered Right Coprime Factorization and PPC-SMC
by Tomoya Hoshina, Yusaku Tanabata and Mingcong Deng
Axioms 2025, 14(7), 534; https://doi.org/10.3390/axioms14070534 - 15 Jul 2025
Viewed by 165
Abstract
In recent years, pneumatic stages have attracted attention as stages for semiconductor manufacturing equipment due to their low cost and minimal maintenance requirements. However, pneumatic stages include nonlinear elements such as friction and air compressibility, making precise control challenging. To address this issue, [...] Read more.
In recent years, pneumatic stages have attracted attention as stages for semiconductor manufacturing equipment due to their low cost and minimal maintenance requirements. However, pneumatic stages include nonlinear elements such as friction and air compressibility, making precise control challenging. To address this issue, this paper aims to achieve high-precision positioning by applying a nonlinear position control method to pneumatic stages. To achieve this, we propose a control method that combines filtered right coprime factorization and Prescribed Performance Control–Sliding Mode Control (PPC-SMC). Filtered right coprime factorization not only stabilizes and simplifies the plant but also reduces noise. Furthermore, PPC-SMC enables safer and faster control by constraining the system state within a switching surface that imposes limits on the error range. Through experiments on the actual system, it was confirmed that the proposed method achieves dramatically higher precision and faster tracking compared to conventional methods. Full article
(This article belongs to the Special Issue New Perspectives in Control Theory)
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17 pages, 2527 KiB  
Article
An Adaptive Prescribed Performance Position Tracking Controller for Hydraulic Systems
by Junqiang Shi, Xiaowei Yang, Jinjun Wu and Jingcheng Gao
Mathematics 2025, 13(14), 2258; https://doi.org/10.3390/math13142258 - 12 Jul 2025
Viewed by 156
Abstract
Unknown time-varying parameters, along with mismatched and matched disturbances, exist in hydraulic systems, worsening position tracking performance and even destabilizing systems. To address this issue, this article proposes an adaptive full-state prescribed performance position tracking control for hydraulic systems subject both to unknown [...] Read more.
Unknown time-varying parameters, along with mismatched and matched disturbances, exist in hydraulic systems, worsening position tracking performance and even destabilizing systems. To address this issue, this article proposes an adaptive full-state prescribed performance position tracking control for hydraulic systems subject both to unknown time-varying parameters and to mismatched and matched disturbances. First, a smooth nonlinear term is skillfully introduced into the controller design so that it can simultaneously cope with both unknown time-varying parameters and disturbances. Next, by integrating the adaptive technique and the prescribed performance function, an adaptive full-state prescribed performance position tracking controller is developed for hydraulic systems in which both the transient and steady performance of all the control errors can be prescribed. A stability analysis then confirms both the prescribed transient performance and the asymptotic steady performance of all the control errors. Finally, the superiority of the proposed controller is also validated by comparison with simulation results. Full article
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20 pages, 317 KiB  
Article
Linking Controllability to the Sturm–Liouville Problem in Ordinary Time-Varying Second-Order Differential Equations
by Manuel De la Sen
AppliedMath 2025, 5(3), 87; https://doi.org/10.3390/appliedmath5030087 - 8 Jul 2025
Viewed by 213
Abstract
This paper establishes some links between Sturm–Liouville problems and the well-known controllability property in linear dynamic systems, together with a control law design that allows any prefixed arbitrary final state finite value to be reached via feedback from any given finite initial conditions. [...] Read more.
This paper establishes some links between Sturm–Liouville problems and the well-known controllability property in linear dynamic systems, together with a control law design that allows any prefixed arbitrary final state finite value to be reached via feedback from any given finite initial conditions. The scheduled second-order dynamic systems are equivalent to the stated second-order differential equations, and they are used for analysis purposes. In the first study, a control law is synthesized for a forced time-invariant nominal version of the current time-varying one so that their respective two-point boundary values are coincident. Afterward, the parameter that fixes the set of eigenvalues of the Sturm–Liouville system is replaced by a time-varying parameter that is a control function to be synthesized without performing, in this case, any comparison with a nominal time-invariant version of the system. Such a control law is designed in such a way that, for given arbitrary and finite initial conditions of the differential system, prescribed final conditions along a time interval of finite length are matched by the state trajectory solution. As a result, the solution of the dynamic system, and thus that of its differential equation counterpart, is subject to prefixed two-point boundary values at the initial and at the final time instants of the time interval of finite length under study. Also, some algebraic constraints between the eigenvalues of the Sturm–Liouville system and their evolution operators are formulated later on. Those constraints are based on the fact that the solutions corresponding to each of the eigenvalues match the same two-point boundary values. Full article
15 pages, 467 KiB  
Article
Practical Fixed-Time Tracking Control for Strict-Feedback Nonlinear Systems with Flexible Prescribed Performance
by Xing Wang, Yongzhi Wang, Yulong Ji, Ben Niu and Jianing Hu
Mathematics 2025, 13(13), 2213; https://doi.org/10.3390/math13132213 - 7 Jul 2025
Viewed by 228
Abstract
This paper addresses the issue of practical fixed-time tracking control for a class of strict-feedback nonlinear systems subject to external disturbances, while ensuring flexible prescribed performance. First, a fixed-time disturbance observer is designed to estimate the unknown external disturbances. The primary advantage of [...] Read more.
This paper addresses the issue of practical fixed-time tracking control for a class of strict-feedback nonlinear systems subject to external disturbances, while ensuring flexible prescribed performance. First, a fixed-time disturbance observer is designed to estimate the unknown external disturbances. The primary advantage of the proposed fixed-time disturbance observer lies in its capability to estimate both the disturbance itself and its higher-order derivatives in fixed time. In addition, various prescribed performance behaviors can be realized via a set of function transformations, merely by modifying certain critical parameters, without the need to redesign the controller. It is shown that, under the proposed control strategy, the system output can track the reference signal in fixed time, and the tracking error always remains within the prescribed performance boundaries. Finally, the simulation results are provided to demonstrate the feasibility and effectiveness of the proposed control scheme. Full article
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13 pages, 1286 KiB  
Article
Prescribed Performance Load Frequency Control for Regional Interconnected Power System Under Energy Storage System Output Constraints
by Ming Lu and Miao Yu
Energies 2025, 18(13), 3551; https://doi.org/10.3390/en18133551 - 4 Jul 2025
Viewed by 322
Abstract
This study addresses the issue of frequency instability caused by an imbalance between load power and generation power in a power system. A state-space model of a two-area power system including a thermal power plant is first established, incorporating the output power limitations [...] Read more.
This study addresses the issue of frequency instability caused by an imbalance between load power and generation power in a power system. A state-space model of a two-area power system including a thermal power plant is first established, incorporating the output power limitations of the energy storage system, which is the actuator for frequency control. Under input saturation constraints, a frequency control strategy based on a prescribed performance control technique is proposed. This strategy not only ensures frequency stability but also achieves an optimal transient response curve. The proposed control strategy is theoretically validated and numerically simulated, demonstrating its effectiveness in suppressing frequency variations in power systems under constraints regarding the output power of the energy storage system. Full article
(This article belongs to the Section A1: Smart Grids and Microgrids)
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