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Control Theory and Applications, 2nd Edition
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Control Theory and Applications, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Dynamical Systems".

Deadline for manuscript submissions: 31 October 2024 | Viewed by 3156

Special Issue Editors

Prof. Dr. Mihail Ioan Abrudean

E-Mail Website
Guest Editor
Automation Department, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania
Interests: control theory; industrial processes and applications; control applications; unconventional processes modelling and control; distributed parameter systems; systems theory; numerical simulation; biomedical systems; isotopic separation processes; energy systems; chemical processes; lasers
Special Issues, Collections and Topics in MDPI journals
Dr. Vlad Muresan

E-Mail Website
Guest Editor
Faculty of Automation and Computer Science, Department of Automation, Technical University of Cluj-Napoca, Memorandumului 28, 400014 Cluj-Napoca, Romania
Interests: cyber-physical systems; intelligent control; industrial robot plant control; distributed parameter systems
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We are delighted to present the second edition of our Special Issue, "Control Theory and Applications". Building upon the success of the first volume, this edition continues to explore the diverse landscape of mathematical methods applied in the realm of control theory. Our goal remains clear: to gather research articles that showcase the latest advancements in mathematical approaches and their practical applications in the domain of control.

In this Special Issue, we delve into a wide spectrum of scientific subjects, embracing mathematical modeling, the design of controllers using cutting-edge mathematical methodologies, numerical simulation, artificial intelligence, and the application of control strategies. Mathematical methods and procedures are pivotal tools that drive enhancements in current controllers and control strategies, ultimately leading to superior control performances.

Our scope covers a broad array of topics, including but not limited to:

  • Control methods and strategies tailored for practical applications;
  • Mathematical modeling of dynamic processes, laying the foundation for precision control;
  • Identification methods that unlock the secrets of complex systems;
  • Innovative mathematical techniques in the design of controllers;
  • Advanced control methodologies that challenge the boundaries of what is possible;
  • The integration of artificial intelligence in modeling and controlling dynamic processes;
  • Numerical simulation methods that bridge the gap between theory and practical application;
  • The study of fractional-order system modeling and control;
  • The fascinating realm of modeling, simulating, and controlling distributed parameter processes;
  • Mathematical modeling and control strategies for unconventional processes;
  • The application of mathematical prowess to the control of industrial and energy systems;
  • The intricate world of robotic system control;
  • Biomedical system modeling and control, where precision is paramount.

As we embark on this second edition, we anticipate even more groundbreaking research and innovative solutions to emerge. The collaboration of researchers in this dynamic field is what fuels progress and drives us closer to achieving more efficient, effective, and reliable control systems.

We look forward to your contributions and the wealth of knowledge you will bring to this Special Issue. Let us continue to push the boundaries of what is achievable in control theory and its practical applications.

Prof. Dr. Mihail Ioan Abrudean
Dr. Vlad Muresan
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • mathematical modelling
  • mathematical methods
  • control theory
  • numerical simulation
  • artificial intelligence
  • neural networks
  • industrial applications
  • identification
  • advanced control
  • controller design
  • distributed parameter processes
  • unconventional processes
  • energy systems
  • fractional-order systems
  • robotic systems
  • biomedical systems

Related Special Issue

Published Papers (4 papers)

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Research

15 pages, 321 KiB  
Article
Saddle-Point Equilibrium Strategy for Linear Quadratic Uncertain Stochastic Hybrid Differential Games Based on Subadditive Measures
by Zhifu Jia and Cunlin Li
Mathematics 2024, 12(8), 1132; https://doi.org/10.3390/math12081132 - 09 Apr 2024
Viewed by 453
Abstract
This paper describes a kind of linear quadratic uncertain stochastic hybrid differential game system grounded in the framework of subadditive measures, in which the system dynamics are described by a hybrid differential equation with Wiener–Liu noise and the performance index function is quadratic. [...] Read more.
This paper describes a kind of linear quadratic uncertain stochastic hybrid differential game system grounded in the framework of subadditive measures, in which the system dynamics are described by a hybrid differential equation with Wiener–Liu noise and the performance index function is quadratic. Firstly, we introduce the concept of hybrid differential games and establish the Max–Min Lemma for the two-player zero-sum game scenario. Next, we discuss the analysis of saddle-point equilibrium strategies for linear quadratic hybrid differential games, addressing both finite and infinite time horizons. Through the incorporation of a generalized Riccati differential equation (GRDE) and guided by the principles of the Itô–Liu formula, we prove that that solving the GRDE is crucial and serves as both a sufficient and necessary precondition for identifying equilibrium strategies within a finite horizon. In addition, we also acquire the explicit formulations of equilibrium strategies in closed forms, alongside determining the optimal values of the cost function. Through the adoption of a generalized Riccati equation (GRE) and applying a similar approach to that used for the finite horizon case, we establish that the ability to solve the GRE constitutes a sufficient criterion for the emergence of equilibrium strategies in scenarios extending over an infinite horizon. Moreover, we explore the dynamics of a resource extraction problem within a finite horizon and separately delve into an H∞ control problem applicable to an infinite horizon. Finally, we present the conclusions. Full article
(This article belongs to the Special Issue Control Theory and Applications, 2nd Edition)
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16 pages, 2677 KiB  
Article
Finite-Time Robust Path-Following Control of Perturbed Autonomous Ground Vehicles Using a Novel Self-Tuning Nonsingular Fast Terminal Sliding Manifold
by Cong Phat Vo, Quoc Hung Hoang, Tae-Hyun Kim and Jeong hwan Jeon
Mathematics 2024, 12(4), 549; https://doi.org/10.3390/math12040549 - 10 Feb 2024
Viewed by 929
Abstract
This work presents a finite-time robust path-following control scheme for perturbed autonomous ground vehicles. Specifically, a novel self-tuning nonsingular fast-terminal sliding manifold that further enhances the convergence rate and tracking accuracy is proposed. Then, uncertain dynamics and external disturbances are estimated by a [...] Read more.
This work presents a finite-time robust path-following control scheme for perturbed autonomous ground vehicles. Specifically, a novel self-tuning nonsingular fast-terminal sliding manifold that further enhances the convergence rate and tracking accuracy is proposed. Then, uncertain dynamics and external disturbances are estimated by a high-gain disturbance observer to compensate for the designed control input. Successively, a super-twisting algorithm is incorporated into the final control law, significantly mitigating the chattering phenomenon of both the input control signal and the output trajectory. Furthermore, the global finite-time convergence and stability of the whole proposed control algorithm are proven by the Lyapunov theory. Finally, the efficacy of the proposed method is validated with comparisons in a numerical example. It obtains high control performance, reduced chattering, fast convergence rate, singularity avoidance, and robustness against uncertainties. Full article
(This article belongs to the Special Issue Control Theory and Applications, 2nd Edition)
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16 pages, 1794 KiB  
Article
Stability Margin of Data-Driven LQR and Its Application to Consensus Problem
by Abdul Aris Umar, Kunhee Ryu, Juhoon Back and Jung-Su Kim
Mathematics 2024, 12(2), 199; https://doi.org/10.3390/math12020199 - 08 Jan 2024
Viewed by 707
Abstract
In contrast with traditional control input design techniques based on mathematical models of the system, in data-driven control approaches, which have recently gained substantial attention, the controller is derived directly from the data that are collected from experiments or observations of the target [...] Read more.
In contrast with traditional control input design techniques based on mathematical models of the system, in data-driven control approaches, which have recently gained substantial attention, the controller is derived directly from the data that are collected from experiments or observations of the target system. In particular, several data-driven optimal control and model predictive control (MPC) techniques have been proposed. In this paper, it is shown that the recently proposed data-driven LQR (Linear Quadratic Regulator) has a stability margin that is the set of the uncertainties in the control input channels maintaining the closed-loop stability. As an application of the proposed stability margin of the data-driven LQR, the consensus problem is considered. Since the control design for the consensus of multi-agent systems can be reformulated into the robust stabilization of a linear system with uncertainty in the input channel, it is demonstrated that the derived stability margin can be used to design a controller for the consensus of multi-agent systems. Full article
(This article belongs to the Special Issue Control Theory and Applications, 2nd Edition)
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25 pages, 4011 KiB  
Article
Predefined-Time Fractional-Order Tracking Control for UAVs with Perturbation
by Abdellah Benaddy, Moussa Labbadi, Sahbi Boubaker, Faisal S. Alsubaei and Mostafa Bouzi
Mathematics 2023, 11(24), 4886; https://doi.org/10.3390/math11244886 - 06 Dec 2023
Cited by 1 | Viewed by 711
Abstract
This manuscript describes the design of a controller that assures predefined-time convergence in fractional-order sliding mode control (PTFOSMC) for a quadrotor UAV subjected to matched perturbation. Moreover, predefined-time techniques enable the establishment of a time constraint for convergence as a control parameter, distinguishing [...] Read more.
This manuscript describes the design of a controller that assures predefined-time convergence in fractional-order sliding mode control (PTFOSMC) for a quadrotor UAV subjected to matched perturbation. Moreover, predefined-time techniques enable the establishment of a time constraint for convergence as a control parameter, distinguishing them from finite- and fixed-time controllers. The proposed control offers the advantage of sliding mode control, exhibiting rapid response and robust performance for the quadrotor subsystems. Notably, the suggested controller is devoid of terms dependent on the initial conditions of the quadrotor. Additionally, an established switching-type predefined-time controller with fractional-order is introduced to bolster robustness against external disturbances and alleviate the chattering problem associated with the sliding mode technique. The application of the Lyapunov function is employed to analyze the predefined-time stability of the quadrotor utilizing the suggested PTFOSMC. Numerical results are provided to demonstrate the effectiveness of the suggested scheme. Full article
(This article belongs to the Special Issue Control Theory and Applications, 2nd Edition)
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