Delay-Dependent Control for Networked Control Systems with Large Delays

Yilin Wang, Hamid Reza Karimi and Zhengrong Xiang

Mathematical Problems in Engineering, 2013, vol. 2013, 1-10

Abstract:

We consider the problems of robust stability and control for a class of networked control systems with long-time delays. Firstly, a nonlinear discrete time model with mode-dependent time delays is proposed by converting the uncertainty of time delay into the uncertainty of parameter matrices. We consider a probabilistic case where the system is switched among different subsystems, and the probability of each subsystem being active is defined as its occurrence probability. For a switched system with a known subsystem occurrence probabilities, we give a stochastic stability criterion in terms of linear matrix inequalities (LMIs). Then, we extend the results to a more practical case where the subsystem occurrence probabilities are uncertain. Finally, a simulation example is presented to show the efficacy of the proposed method.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:643174

DOI: 10.1155/2013/643174

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