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Observer-based sliding mode control for a class of discrete systems via delta operator approach. (English) Zbl 1202.93066
Summary: In this paper, an observer-based Sliding Mode Control (SMC) problem is investigated for a class of uncertain delta operator systems with nonlinear exogenous disturbance. A novel robust stability condition is obtained for a sliding mode dynamics by using Lyapunov theory in delta domain. Based on a designed sliding mode observer, a sliding mode controller is synthesized by employing SMC theory combined with reaching law technique. The robust asymptotical stability problem is also discussed for the closed-loop system composed of the observer dynamics and the state estimation error dynamics. Furthermore, the reachability of sliding surfaces is also investigated in state-estimate space and estimation error space, respectively. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the developed method.

93C30Control systems governed by other functional relations
93D09Robust stability of control systems
93B12Variable structure systems
93D20Asymptotic stability of control systems
Full Text: DOI
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