Delay Dependent Stability Criteria and Stabilization for Discrete-Time Systems Via Three Terms approximation

Abstract : This paper discusses the problem of delay-dependent stability and stabilization condition for discrete-time linear systems. By employing a three-term approximation for delayed state variables, a new model transformation is developed, which has a smaller approximation error than the two-term approach. By using scaled small gain theorem and an appropriate Lyapunov-Krasovskii functional, new delay-dependent stability conditions are proposed and formulated as linear matrix inequalities (LMIs). Before the end, a state feedback controller has investigated in the stabilization of discrete linear systems. Finally, numerical examples are presented to illustrate the effectiveness of the proposed method.
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El Mostafa El Adel, H Aiss, A. Hmamed. Delay Dependent Stability Criteria and Stabilization for Discrete-Time Systems Via Three Terms approximation. Journal of Control Engineering and Applied Informatics, SRAIT, 2017, 19, pp.3 - 12. ⟨http://ceai.srait.ro/index.php?journal=ceai&page=article&op=view&path%5B%5D=5179&path%5B%5D=1461⟩. ⟨hal-02080069⟩

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