Stability Bound Analysis and Synthesis for Singularly Perturbed Systems with Time-Varying Delay

Fengqi Sun, Linna Zhou, Qingling Zhang and Yongxiang Shen

Mathematical Problems in Engineering, 2013, vol. 2013, 1-8

Abstract:

This paper addresses the problems of stability bound analysis and synthesis for singularly perturbed systems with time-varying delay. First, by constructing an appropriate Lyapunov-Krasovskii functional, a sufficient condition is derived for the system to be stable when the singular perturbation parameter is lower than a predefined upper bound which is referred to as the stability bound of the singularly perturbed system. The proposed criterion needs less computational cost than the existing ones. Then, a state feedback controller design method is proposed to achieve a prescribed stability bound, which can be applied to both standard and nonstandard singularly perturbed systems with time-varying delay. Finally, the effectiveness and merits of the proposed approach are shown through numerical examples.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:517258

DOI: 10.1155/2013/517258

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