Delay Dependent Stability Criteria and Stabilization for Discrete-Time Systems Via Three Terms approximation - Archive ouverte HAL Access content directly
Journal Articles Journal of Control Engineering and Applied Informatics Year : 2017

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

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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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Dates and versions

hal-02080069 , version 1 (26-03-2019)

Licence

Attribution - CC BY 4.0

Identifiers

  • HAL Id : hal-02080069 , version 1

Cite

El Mostafa El Adel, H El Aiss, A. Hmamed. Delay Dependent Stability Criteria and Stabilization for Discrete-Time Systems Via Three Terms approximation. Journal of Control Engineering and Applied Informatics, 2017, 19, pp.3 - 12. ⟨hal-02080069⟩
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