Delay-dependent H-infinity control for networked control systems with large delays
Journal article, Peer reviewed
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OriginalversjonWang, Y.L., Karimi, H.R., & Xiang, Z.R. (2013). Delay-dependent H-infinity control for networked control systems with large delays. Mathematical Problems in Engineering. doi: 10.1155/2013/643174 10.1155/2013/643174
We consider the problems of robust stability and H-infinity 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.
Published version of an article from the journal: Mathematical Problems in Engineering. Also available from Hindawi: http://dx.doi.org/10.1155/2013/643174