A switched system approach to H∞ control of networked control systems with time-varying delays

Zhang, Wen-An; Yu, Li; Yin, Shi

doi:10.1016/j.jfranklin.2010.10.013

Cited by 82 publications

(44 citation statements)

References 16 publications

(17 reference statements)

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“…Switched systems are hybrid dynamical systems composed of subsystems with their own parameterizations subject to a deterministic rule orchestrating the switching law between the various subsystems rather than the Markov process assumption [25]. There are fruitful results on the dyanmics analysis and applications of switched systems, see [28][29][30][31][32]. Specifically, a switched system approach has been used to investigate the networked control system with time-varying delay in [28].…”

Section: Introductionmentioning

confidence: 99%

Exponential H∞ filtering for discrete-time switched singular systems with time-varying delays

Zhang

Wang

et al. 2012

Journal of the Franklin Institute

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Section: Introductionmentioning

confidence: 99%

Exponential H∞ filtering for discrete-time switched singular systems with time-varying delays

Zhang

Wang

et al. 2012

Journal of the Franklin Institute

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“…In [33], the NCS with asymmetric path-delays over arbitrary communication networks was investigated under the criteria of minimum H ∞ norm, and the delay-dependent switching controllers were designed via a piecewise Lyapunov function approach as well as a common Lyapunov function approach. In [34], a new discrete-time switched system model was proposed to describe the NCS with random delays, and a sufficient condition was derived for the NCS to be exponentially stable and ensure a prescribed H ∞ performance. Moreover, the obtained condition established the relations among the delay length, the delay variation frequency, and the system performances.…”

Section: Robust Controlmentioning

confidence: 99%

Modeling of Random Delays in Networked Control Systems

Chen

Jiang

et al. 2013

Journal of Control Science and Engineering

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In networked control systems (NCSs), the presence of communication networks in control loops causes many imperfections such as random delays, packet losses, multipacket transmission, and packet disordering. In fact, random delays are usually the most important problems and challenges in NCSs because, to some extent, other problems are often caused by random delays. In order to compensate for random delays which may lead to performance degradation and instability of NCSs, it is necessary to establish the mathematical model of random delays before compensation. In this paper, four major delay models are surveyed including constant delay model, mutually independent stochastic delay model, Markov chain model, and hidden Markov model. In each delay model, some promising compensation methods of delays are also addressed.

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“…The second approach is the deterministic method, which places upper-bounds on time delays and/or Contents lists available at ScienceDirect journal homepage: www.elsevier.com/locate/isatrans packet losses. Zhang et al [14] proposed a H 1 control design method for the NCS with time-varying delay that is less than one sampling period. Some researchers integrate a network-induced delay, and packet dropout into a unified framework.…”

Section: Introductionmentioning

confidence: 99%