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Mathematics
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Advances in Switched Systems and Control Theory: Theory and Application
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Advances in Switched Systems and Control Theory: Theory and Application

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

Deadline for manuscript submissions: 30 July 2024 | Viewed by 1898

Special Issue Editors

Prof. Dr. Ben Niu

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Guest Editor
School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China
Interests: switched systems; stochastic systems; adaptive control; neural network; fuzzy control
Prof. Dr. Yonggui Kao

E-Mail Website
Guest Editor
School of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Interests: differential equations and applications; complex systems and complex networks; distributed parameter systems; unmanned system control
Prof. Dr. Yuanxin Li

E-Mail Website
Guest Editor
College of Science, Liaoning University of Technology, Liaoning, Jinzhou 121001, China
Interests: adaptive fuzzy control; fault-tolerant control; event-triggered control; nonlinear systems
Prof. Dr. Xin Wang

E-Mail Website
Guest Editor
School of Cyber Science and Engineering, Sichuan University, Chengdu 610065, China
Interests: information physical systems; DoS attacks; artificial intelligence
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Switched systems are a class of hybrid systems that involve interacting discrete-event and continuous-variable dynamics. They are important in applications in engine systems, cyber-physical systems, robotics, and traffic management, and have gained considerable interest in the control theory, computer-aided verification, and artificial intelligence communities. This has resulted in a large and growing body of research work on a diverse array of issues, including stability analysis, tracking control, distributed control, and others.

At present, switched systems have made new progress in many new research directions, but also face new challenges. For example, multi-agent systems (MASs) are one of the most important parts of artificial intelligence, which have a strong exploring value in many practical engineering applications. However, we found that there is little literature on switched nonlinear MASs with complicated dynamics, because designing the appropriate controllers and achieving the relevant objectives is quite difficult. Therefore, how to design a control strategy to solve the relevant control problems for switched nonlinear MASs is an interesting topic.

This Special Issue collects papers with the aim to uncover and exploit the latest research progress in switched systems. Topics of interest include, but are not limited to: robust stabilization of switched systems (such as switched stochastic systems, switched cyber-physical systems and so on); stability/performance/robustness analysis of switched control systems; enhancing the controller’s reliability through event-triggered/hybrid-triggered techniques; optimization of reliable control design using machine learning algorithms.

Prof. Dr. Ben Niu
Prof. Dr. Yonggui Kao
Prof. Dr. Yuanxin Li
Prof. Dr. Xin Wang
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

  • switched system
  • switched nonlinear MASs
  • stochastic switched systems
  • cyber-physical systems
  • consensus tracking control
  • intelligent control technique
  • adaptive control
  • network attacks

Published Papers (3 papers)

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Research

14 pages, 450 KiB  
Article
Cooperative Adaptive Fuzzy Control for the Synchronization of Nonlinear Multi-Agent Systems under Input Saturation
by Jinxia Wu and Pengfei Cui
Mathematics 2024, 12(10), 1426; https://doi.org/10.3390/math12101426 - 7 May 2024
Viewed by 249
Abstract
This research explores the synchronization issue of leader–follower systems with multiple nonlinear agents, which operate under input saturation constraints. Each follower operates under a spectrum of unknown dynamic nonlinear systems with non-strict feedback. Additionally, due to the fact that the agents may be [...] Read more.
This research explores the synchronization issue of leader–follower systems with multiple nonlinear agents, which operate under input saturation constraints. Each follower operates under a spectrum of unknown dynamic nonlinear systems with non-strict feedback. Additionally, due to the fact that the agents may be geographically dispersed or have different communication capabilities, only a subset of followers has direct communication with the leader. Compared to linear systems, nonlinear systems can provide a more detailed description of real-world physical models. However, input saturation is present in most real systems, due to various factors such as limited system energy and the physical constraints of the actuators. An auxiliary system of Nth order is introduced to counteract the impact of input saturation, which is then employed to create a collaborative controller. Due to the powerful capability of fuzzy logic systems in simulating complex nonlinear relationships, they are deployed to approximate the enigmatic nonlinear functions intrinsic to the systems. A distributed adaptive fuzzy state feedback controller is designed by approximating the derivative of the virtual controller by filters. The proposed controller ensures the synchronization of all follower outputs with the leader output in the communication graph. It is shown that all signals in the closed-loop system are semi-globally uniformly ultimately bounded, and the tracking errors converge to a small neighborhood around the origin. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach. Full article
(This article belongs to the Special Issue Advances in Switched Systems and Control Theory: Theory and Application)
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14 pages, 343 KiB  
Article
The Strictly Dissipative Condition of Continuous-Time Markovian Jump Systems with Uncertain Transition Rates
by WonIl Lee, JaeWook Shin and BumYong Park
Mathematics 2024, 12(5), 639; https://doi.org/10.3390/math12050639 - 21 Feb 2024
Viewed by 577
Abstract
This study addresses the problem of strictly dissipative stabilization for continuous-time Markovian jump systems (MJSs) with external disturbances and generally uncertain transition rates that contain completely unknown transition rates and their bound values. A stabilization condition is obtained to guarantee strict dissipativity for [...] Read more.
This study addresses the problem of strictly dissipative stabilization for continuous-time Markovian jump systems (MJSs) with external disturbances and generally uncertain transition rates that contain completely unknown transition rates and their bound values. A stabilization condition is obtained to guarantee strict dissipativity for the MJSs with partial knowledge in terms of the transition rates. To reduce the conservativity of the proposed condition, we used a boundary condition related to the bounds of the transition rate with slack variables. Finally, two simulation results are presented to describe the feasibility of the proposed controller. Full article
(This article belongs to the Special Issue Advances in Switched Systems and Control Theory: Theory and Application)
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15 pages, 3931 KiB  
Article
Normalized Error-Based PI Controller and Its Application to the DC–DC Buck Converter
by Satyajit Chincholkar, Mohd Tariq, Majid Poshtan and Mohamed Sharaf
Mathematics 2024, 12(2), 240; https://doi.org/10.3390/math12020240 - 11 Jan 2024
Viewed by 788
Abstract
In this article, the structure of the normalized error-based proportional-integral (PI) controller is presented and its application to the DC–DC buck converter is discussed. The main motivation is to overcome the drawbacks of saturation and the limited range of controller gains offered by [...] Read more.
In this article, the structure of the normalized error-based proportional-integral (PI) controller is presented and its application to the DC–DC buck converter is discussed. The main motivation is to overcome the drawbacks of saturation and the limited range of controller gains offered by the traditional PI controller. Initially, the theoretical structure and advantages of an improved PI controller are shown. Next, the problem of regulation of the step-down DC–DC converter is addressed using the proposed controller. The objective is to keep the load voltage constant even when the converter parameters vary. The averaged state-space model of the converter is presented and a detailed stability analysis based on the Lypunov indirect method is carried out. The results show an improved range of controller parameters when the proposed controller is employed. Finally, some simulation results are shown to illustrate the effect of controller parameter variations on the output response. These results also verify the ability of the proposed controller to handle the changes in the load, input voltage, and reference voltage of the converter. Moreover, a comparative simulation study validates the superior transient response of the proposed normalized error-based PI controller over the traditional PI controller. Full article
(This article belongs to the Special Issue Advances in Switched Systems and Control Theory: Theory and Application)
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