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Stability Bounds of Delayed Time-varying Perturbations of Discrete Systems

이산시스템에서 시간지연을 갖는 시변 상태 지연 섭동의 안정 범위에 관한 연구

  • 이달호 (경원대학교 전자전기정보공학부) ;
  • 한형석 (경원대학교 전자전기정보공학부)
  • Published : 2007.02.01

Abstract

The stability robustness problem of linear discrete-time systems with delayed time-varying perturbations is considered. Compared with continuous time system, little effort has been made for the discrete time system in this area. In the previous results, the bounds were derived for the case of non-delayed perturbations. There are few results for delayed perturbation. Although the results are for the delayed perturbation, they considered only the time-invariant perturbations. In this paper, the sufficient conditions for stability can be expressed as linear matrix inequalities(LMIs). The corresponding stability bounds are determined by LMI(Linear Matrix Inequality)-based algorithms. Numerical examples are given to compare with the previous results and show the effectiveness of the proposed results.

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