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On sliding mode control for networked control systems with semi-Markovian switching and random sensor delays. (English) Zbl 1396.93033
Summary: This paper focuses on the problem of sliding mode control for networked control systems with semi-Markovian switching and random measurement, where the measurement channel is assumed to suffer from random sensor delays. A Luenberger observer is designed to generate the estimation of system states, and the integral sliding surface is constructed to guarantee exponential stability of networked semi-Markovian switching systems in the mean square sense. Then, a proper controller is synthesized to ensure that the trajectory of the closed-loop networked semi-Markovian switching systems can be driven onto the prescribed sliding surface. Finally, numerical examples and simulations are provided to illustrate the effectiveness of the integral sliding mode control scheme.

MSC:
93B12 Variable structure systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93E03 Stochastic systems in control theory (general)
93B50 Synthesis problems
93B05 Controllability
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