Finite-time control of discrete-time systems with time-varying exogenous disturbance. (English) Zbl 1221.93240

Summary: This paper deals with some finite-time control problems for uncertain discrete-time linear systems subject to exogenous disturbance. Sufficient conditions are presented for finite-time stabilization via state feedback. These conditions can be reduced to feasibility problems involving linear matrix inequality (LMI). A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, an example illustrates the proposed methodology.


93D15 Stabilization of systems by feedback
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