Proceedings ArticleDOI
Qualitative analysis of discrete-time switched systems
Guisheng Zhai,Bo Hu,Kazunori Yasuda,Anthony N. Michel +3 more
- Vol. 3, pp 1880-1885
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TLDR
In this article, the authors investigated the stability of a time-controlled switched system consisting of several linear discrete-time subsystems and showed that the system is exponentially stable if the average dwell time is chosen sufficiently large and the total activation time ratio between Schur stable and unstable subsystems is not smaller than a specified constant.Abstract:
We investigate some qualitative properties for time-controlled switched systems consisting of several linear discrete-time subsystems. First, we study exponential stability of the switched system with commutation property, stable combination and average dwell time. When all subsystem matrices are commutative pairwise and there exists a stable combination of unstable subsystem matrices, we propose a class of stabilizing switching laws where Schur stable subsystems are activated arbitrarily while unstable ones are activated in sequence with their duration time periods satisfying a specified ratio. For more general switched system whose subsystem matrices are not commutative pairwise, we show that the switched system is exponentially stable if the average dwell time is chosen sufficiently large and the total, activation time ratio between Schur stable and unstable subsystems is not smaller than a specified constant. Secondly, we use an average dwell time approach incorporated with a piecewise Lyapunov function to study the /spl Lscr//sub 2/ gain of the switched system.read more
Citations
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Journal ArticleDOI
A Survey of Recent Results in Networked Control Systems
TL;DR: This work reviews several recent results on estimation, analysis, and controller synthesis for NCSs, and addresses channel limitations in terms of packet-rates, sampling, network delay, and packet dropouts.
Journal ArticleDOI
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
Hai Lin,Panos J. Antsaklis +1 more
TL;DR: This paper focuses on the stability analysis for switched linear systems under arbitrary switching, and highlights necessary and sufficient conditions for asymptotic stability.
Journal ArticleDOI
Stabilization of switched continuous-time systems with all modes unstable via dwell time switching
Weiming Xiang,Jian Xiao +1 more
TL;DR: A sufficient condition ensuring the asymptotic stability of switched continuous-time systems with all modes unstable is proposed, using a discretized Lyapunov function approach in the framework of dwell time.
Journal ArticleDOI
Stability and stabilization of discrete time switched systems
TL;DR: In this article, two strategies for stabilization of discrete time linear switched systems were proposed, one of open loop nature (trajectory independent) and the other of closed loop nature based on the solution of what we call Lyapunov-Metzler inequalities.
Journal ArticleDOI
Technical communique: Modelling and control of networked control systems with both network-induced delay and packet-dropout
Wen-An Zhang,Li Yu +1 more
TL;DR: A new switched linear system model is proposed to describe the networked control system (NCS) with both network-induced delay and packet-dropout, and a sufficient condition is derived for the exponential stability of the closed-loop NCS.
References
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Journal ArticleDOI
Basic problems in stability and design of switched systems
Daniel Liberzon,A.S. Morse +1 more
TL;DR: In this paper, the authors survey three basic problems regarding stability and design of switched systems, including stability for arbitrary switching sequences, stability for certain useful classes of switching sequences and construction of stabilizing switching sequences.
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.
Journal ArticleDOI
A linear matrix inequality approach to H∞ control
Pascal Gahinet,Pierre Apkarian +1 more
TL;DR: In this paper, the continuous and discrete-time H∞ control problems are solved via elementary manipulations on linear matrix inequalities (LMI), and two interesting new features emerge through this approach: solvability conditions valid for both regular and singular problems, and an LMI-based parametrization of all H ∞-suboptimal controllers, including reduced-order controllers.
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.