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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.
MSC:
93C30Control systems governed by other functional relations
93D09Robust stability of control systems
93B07Observability
93B12Variable structure systems
93D20Asymptotic stability of control systems
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