Journal ArticleDOI
Multiobjective Fault-Tolerant Control for Fuzzy Switched Systems With Persistent Dwell Time and Its Application in Electric Circuits
TLDR
This article concentrates on the output feedback controller design problem for discrete-time nonlinear switched systems with actuator faults, and the developed method is applied to address the control issue of a tunnel diode circuit system model to illustrate its efficiency and applicability.Abstract:
This article concentrates on the output feedback controller design problem for discrete-time nonlinear switched systems with actuator faults. The Takagi–Sugeno fuzzy model is adopted to approximate the nonlinearity of the plant with a set of local linear models. The persistent dwell-time (DT) switching law, which is more general than DT or average DT switching, is introduced to govern the switching among subsystems. In order to alleviate the effects of actuator failures on system stability and performance, a synthesized fault-tolerant output feedback controller ensuring various performance requirements is designed. Intensive attention is focused on establishing sufficient conditions, which can guarantee the exponential mean-square stability as well as the prescribed extended dissipativity property of the closed-loop system. By virtue of the Lyapunov stability theory and appropriate matrix transformation methods, the desired controller gains can be obtained by solving a convex optimization problem. The developed method is finally applied to address the control issue of a tunnel diode circuit system model to illustrate its efficiency and applicability.read more
Citations
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Journal ArticleDOI
$\mathcal {H}_{\infty }$ Synchronization for Fuzzy Markov Jump Chaotic Systems With Piecewise-Constant Transition Probabilities Subject to PDT Switching Rule
TL;DR: This article investigates the nonfragile synchronization issue for a class of discrete-time Takagi–Sugeno (T–S) fuzzy Markov jump systems and concludes that the resulting synchronization error system is mean-square exponentially stable with a prescribed performance in the presence of actuator gain variations.
Journal ArticleDOI
Extended Dissipative Control for Singularly Perturbed PDT Switched Systems and its Application
TL;DR: Using the slow-state feedback control method, sufficient conditions to ensure the global uniform exponential stability of the closed-loop PDT SPSSs are derived and a preferable decoupling method deriving the mode-dependent controller gains are given for the first time.
Journal ArticleDOI
Network-based passive estimation for switched complex dynamical networks under persistent dwell-time with limited signals
TL;DR: The serviceability of the state estimator gains solved is finally verified, the effectiveness of the proposed design approach is further illustrated and the error dynamic obtained is globally uniformly exponentially stable and meets passive property.
Journal ArticleDOI
Online reinforcement learning multiplayer non-zero sum games of continuous-time Markov jump linear systems
Catherine Hall,Xilin Xin,Yidong Tu,Vladimir Stojanovic,Hai Wang,Kaibo Shi,Shuping He,Tianhong Pan +7 more
TL;DR: The policy iterative algorithm proposed in this paper can solve the coupled algebraic Riccati equations corresponding to the multiplayer non-zero sum games.
Journal ArticleDOI
Adaptive fault-tolerant control for switched nonlinear systems based on command filter technique
TL;DR: An adaptive neural fault-tolerant control strategy for a class of switched nonlinear systems subject to actuator fault by means of the command filter approach, backstepping algorithm, and average dwell time method is put forward.
References
More filters
Journal ArticleDOI
Fuzzy identification of systems and its applications to modeling and control
T. Takagi,Michio Sugeno +1 more
TL;DR: A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented and two applications of the method to industrial processes are discussed: a water cleaning process and a converter in a steel-making process.
Proceedings ArticleDOI
Stability of switched systems with average dwell-time
Joao P. Hespanha,A.S. Morse +1 more
TL;DR: In this article, it was shown that scale-independent hysteresis can produce switching that is slow-on-the-average and therefore the results mentioned above can be used to study the stability of adaptive control systems.
Stability of Switched Systems with Average Dwell-Time 1
P. Hespanha,A. Stephen Morse +1 more
TL;DR: In this article, it was shown that switching among stable linear systems results in a stable system provided that switching is slow-on-the-average, i.e., the number of switches in any nite interval grows linearly with the length of the interval, and the growth rate is suciently small.
Journal ArticleDOI
Supervisory control of families of linear set-point controllers - Part I. Exact matching
TL;DR: It is shown that in the absence of unmodeled process dynamics, the proposed supervisor can successfully perform its function even if process disturbances are present, provided they are bounded and constant.
Journal ArticleDOI
Uniform stability of switched linear systems: extensions of LaSalle's Invariance Principle
TL;DR: This paper provides a collection of results that can be viewed as extensions of LaSalle's Invariance Principle to certain classes of switched linear systems that can deduce asymptotic stability using multiple Lyapunov functions whose Lie derivatives are only negative semidefinite.