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Sliding mode control for quantized semi-Markovian switching systems with bounded disturbances. (English) Zbl 1417.93101

Summary: This article is concerned with exponential stability analysis for semi-Markovian switching systems subject to logarithmic quantization and bounded disturbances via sliding mode control. In order to design a sliding mode surface on quantized outputs, a state observer is utilized to generate the estimation of system states. Then a sliding mode controller is given to stabilize the resulting closed-loop semi-Markovian switching system. Furthermore, it is demonstrated that the proposed sliding mode controller can guarantee the reachability of the addressed sliding surface. Finally, based on cognitive radio communication system, a numerical example is performed to verify the effectiveness of the sliding mode control design technique.

MSC:

93B12 Variable structure systems
93D20 Asymptotic stability in control theory
93B03 Attainable sets, reachability
93E15 Stochastic stability in control theory
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