Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadatas

Cited literature [33 references]  Display  Hide  Download

https://hal-amu.archives-ouvertes.fr/hal-02080069
Contributor : El Mostafa El Adel <>
Submitted on : Tuesday, March 26, 2019 - 2:31:20 PM
Last modification on : Monday, March 30, 2020 - 8:42:18 AM
Document(s) archivé(s) le : Thursday, June 27, 2019 - 4:40:12 PM

File

Delay_Dependent_Stability.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

  • HAL Id : hal-02080069, version 1

Citation

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. ⟨hal-02080069⟩

Share

Metrics

Record views

59

Files downloads

74