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Switched system approach to stabilization of networked control systems. (English) Zbl 1244.93171

Summary: Stabilization problems of networked control systems (NCSs) with bounded packet losses and transmission delays are addressed. We model such NCSs as a class of switched systems, and establish stabilizing conditions in the form of matrix inequalities by using packet-loss dependent Lyapunov functions. By solving the inequalities, packet-loss dependent controllers are designed for two types of packet-loss processes: one is an arbitrary packet-loss process, and the other is a Markovian packet-loss process. Several numerical examples and simulations are worked out to demonstrate the effectiveness of the proposed design techniques.

MSC:

93E15 Stochastic stability in control theory
93D15 Stabilization of systems by feedback
93C55 Discrete-time control/observation systems
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