Journal ArticleDOI
Asynchronous Filtering of Discrete-Time Switched Linear Systems With Average Dwell Time
TLDR
The problem of asynchronous filtering for the underlying systems in linear cases is formulated and the conditions of the existence of admissible asynchronous filters are obtained.Abstract:
Switched dynamical systems can be found in many practical electronic circuits, such as various kinds of power converters, chaos generators, etc. This paper is concerned with the filter design problem for a class of switched system with average dwell time switching. Mode-dependent full-order filters are designed taking a more practical phenomenon, the asynchronous switching into account, where “asynchronous” means that the switching of the filters to be designed has a lag to the switching of the system modes. New results on the stability and l2-gain analyses for the systems are first given where the Lyapunov-like functions during the running time of subsystems are allowed to increase. In light of the proposed Lyapunov-like functions, the desired mode-dependent filters can be designed in that the unmatched filters are allowed to perform in the interval of the asynchronous switching before the matched ones are applied. In H∞ sense, the problem of asynchronous filtering for the underlying systems in linear cases is formulated and the conditions of the existence of admissible asynchronous filters are obtained. Two examples are provided to show the potential of the developed results.read more
Citations
More filters
Journal ArticleDOI
Asynchronous Finite-Time Filtering of Networked Switched Systems and its Application: an Event-Driven Method
TL;DR: To effectively use the network resources, a suitable event-driven communication scheme is proposed for the networked switched systems in this paper and the applicability of the proposed filtering scheme is demonstrated via a mass-spring system model.
Journal ArticleDOI
Adaptive Event-Triggered SMC for Stochastic Switching Systems With Semi-Markov Process and Application to Boost Converter Circuit Model
TL;DR: The aim of this work is to design an appropriate SMC law based on an adaptive event-triggered communication scheme such that the resulting closed-loop system could realize stochastic stability and reduce communication burden.
Journal ArticleDOI
Reinforcement Learning Design-Based Adaptive Tracking Control With Less Learning Parameters for Nonlinear Discrete-Time MIMO Systems
TL;DR: It is proven that the tracking errors, the adaptation laws, and the control inputs are uniformly bounded using Lyapunov analysis method and the simulation examples are employed to illustrate the effectiveness of the proposed algorithm.
Journal ArticleDOI
Barrier Lyapunov Function-Based Adaptive Fuzzy FTC for Switched Systems and Its Applications to Resistance–Inductance–Capacitance Circuit System
TL;DR: The adaptive fault-tolerant control (FTC) problem is solved for a switched resistance–inductance–capacitance (RLC) circuit system and the unstable subsystems are taken into account in the frame of output constraint and unmeasurable states.
Journal ArticleDOI
An Event-Based Asynchronous Approach to Markov Jump Systems With Hidden Mode Detections and Missing Measurements
TL;DR: To guarantee that the MJS is stochastically stable, an event-based asynchronous controller is designed and a mode-dependent event-triggered mechanism (ETM) is proposed to reduce the burden of data transmission.
References
More filters
Book
Switching in Systems and Control
TL;DR: I. Stability under Arbitrary Switching, Systems not Stabilizable by Continuous Feedback, and Systems with Sensor or Actuator Constraints with Large Modeling Uncertainty.
Journal ArticleDOI
Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
TL;DR: Bendixson's theorem is extended to the case of Lipschitz continuous vector fields, allowing limit cycle analysis of a class of "continuous switched" systems.
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
Perspectives and results on the stability and stabilizability of hybrid systems
TL;DR: In this paper, the authors introduce the concept of hybrid systems and some of the challenges associated with the stability of such systems, including the issues of guaranteeing stability of switched stable systems and finding conditions for the existence of switched controllers for stabilizing switched unstable systems.
Related Papers (5)
Technical communique: Asynchronously switched control of switched linear systems with average dwell time
Lixian Zhang,Huijun Gao +1 more
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
Hai Lin,Panos J. Antsaklis +1 more