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http://dx.doi.org/10.5302/J.ICROS.2007.13.2.147

Stability Bounds of Delayed Time-varying Perturbations of Discrete Systems  

Lee, Dal-Ho (경원대학교 전자전기정보공학부)
Han, Hyung-Seok (경원대학교 전자전기정보공학부)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.13, no.2, 2007 , pp. 147-153 More about this Journal
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.
Keywords
robust stability; discrete-time system; time-delayed perturbation; linear matrix inequality;
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