Advances in Nonlinear Control Theory Applied to Dynamic Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: 10 July 2025 | Viewed by 652

Special Issue Editors


E-Mail Website
Guest Editor
Department of Technological Sciences, University of Guadalajara, La Cienega University Center, Av. Universidad 1115, Ocotlan 47820, Jalisco, Mexico
Interests: nonlinear control; robust control; parametric uncertainties; sliding mode control; adaptive control; machine learning; stability analysis; mathematical modeling; dynamical systems; numerical simulation; real-time simulation
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of Information Engineering, Computer Science and Mathematics, University of L’Aquila, Via Vetoio, Loc.Coppito, 67100 L’Aquila, Italy
Interests: nonlinear control; robust control; parametric uncertainties; sliding mode control; adaptive control; machine learning; stability analysis; mathematical modeling; dynamical systems; numerical simulation; real-time simulation
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

During the last decade, the recent advancements in nonlinear control theory have provided innovative solutions for effectively managing the inherent complexities of dynamic systems. It is often the case that classical linear control methodologies prove inadequate when confronted with systems exhibiting nonlinear characteristics, parametric uncertainties, and external disturbances.

New advances in nonlinear control theory address these challenges by developing advanced techniques such as sliding mode control, adaptive control, robust control, and other nonlinear control techniques. These methods permit their application in dynamic systems spanning diverse sectors, including robotics, aerospace, electric vehicles, drones, and biological systems, among many others where precise control is critical to system performance and safety. Furthermore, developments in computational tools have enhanced the capacity to model, simulate, and implement nonlinear control strategies thus facilitating the design of more efficient and robust dynamic systems. There is a growing tendency to integrate machine learning algorithms and artificial intelligence with nonlinear control in order to enhance system adaptability and optimize real-time performance. These advances underscore the significance of nonlinear control theory in shaping the future of dynamic systems, enabling them to operate with greater reliability in uncertain environments.

Prof. Dr. Cuauhtemoc Acosta Lua
Dr. Stefano Di Gennaro
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

  • nonlinear control
  • robust control
  • parametric uncertainties
  • sliding mode control
  • adaptive control
  • machine learning
  • stability analysis
  • mathematical modeling
  • dynamical systems
  • numerical simulation
  • real-time simulation

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

25 pages, 1867 KiB  
Article
Nonlinear Mathematical Modeling and Robust Control of UAV Formation Under Parametric Variations and External Disturbances
by Claudia Verónica Vera Vaca, Stefano Di Gennaro, Claudia Carolina Vaca García and Cuauhtémoc Acosta Lúa
Mathematics 2025, 13(9), 1520; https://doi.org/10.3390/math13091520 - 5 May 2025
Viewed by 349
Abstract
This paper introduces a robust formation control strategy for Unmanned Aerial Vehicles (UAVs) designed to maintain coordinated trajectories and relative positioning in three-dimensional space. The proposed methodology addresses the challenges of parametric uncertainties and external disturbances by employing a backstepping-based framework with integrated [...] Read more.
This paper introduces a robust formation control strategy for Unmanned Aerial Vehicles (UAVs) designed to maintain coordinated trajectories and relative positioning in three-dimensional space. The proposed methodology addresses the challenges of parametric uncertainties and external disturbances by employing a backstepping-based framework with integrated proportional-integral virtual controls. The control strategy stabilizes tracking errors in the x, y, and z axes, ensuring that the UAVs maintain a cohesive formation even in the presence of dynamic model variations and environmental perturbations. The approach combines dynamic models of UAV motion, incorporating translational and rotational behaviors, with a decomposition of relative distances in the leader’s local reference frame to ensure precise formation control. This framework enhances stability, trajectory tracking, and disturbance rejection. Validation through MATLAB-Simulink simulations demonstrates the effectiveness of the proposed strategy, showcasing its ability to maintain formation and trajectory adherence under diverse operating conditions. The results emphasize the robustness and flexibility of the control approach, making it suitable for demanding applications requiring precise multi-UAV coordination. Full article
(This article belongs to the Special Issue Advances in Nonlinear Control Theory Applied to Dynamic Systems)
Show Figures

Figure 1

Back to TopTop