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Pai, Ming-Chang

Discrete-time sliding mode control for uncertain systems with state and input delays. (English) Zbl 1206.93100

Int. J. Syst. Sci. 41, No. 12, 1501-1510 (2010).
Summary: This article presents a discrete-time sliding mode control method for the robust stabilisation of linear uncertain multi-input discrete-time systems with state and input delays. The systems are assumed to have structured mismatched time-varying parameter uncertainties. A specified switching surface is proposed and a sliding mode controller is derived to ensure the existence of the quasi-sliding mode. Based on the improved Lyapunov function and linear matrix inequality technique, delay-independent sufficient conditions for the design of a stable switching surface are given and the stability of the overall closed-loop system is guaranteed. Neither chattering phenomenon will occur nor the knowledge of upper bound of uncertainties is required. Finally, simulation results demonstrate the efficacy of the proposed control methodology.

Cited in 10 Documents

MSC:

93D21 Adaptive or robust stabilization
93C55 Discrete-time control/observation systems
93D09 Robust stability
93C41 Control/observation systems with incomplete information

Keywords:

discrete-time sliding mode control; state and input delays; mismatched time-varying uncertainties; LMI; chattering phenomenon

Software:

LMI toolbox
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Full Text: DOI

References:

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