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

机译：时变时滞奇摄动系统的稳定性界分析与综合

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摘要

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 nonstan-dard singularly perturbed systems with time-varying delay. Finally, the effectiveness and merits of the proposed approach are shown through numerical examples.
机译：本文研究时滞时滞奇摄动系统的稳定性界分析和综合问题。首先，通过构造适当的Lyapunov-Krasovskii泛函，当奇异摄动参数低于预定义的上限（称为奇异摄动系统的稳定性界限）时，就为系统稳定提供了充分的条件。提出的标准比现有标准需要更少的计算成本。然后，提出了一种状态反馈控制器设计方法来实现规定的稳定性边界，该方法可以应用于具有时变时滞的标准和非标准奇异摄动系统。最后，通过数值算例说明了该方法的有效性和优点。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第1期|517258.1-517258.8|共8页
  • 作者

    Fengqi Sun; Linna Zhou; Qingling Zhang; Yongxiang Shen;

  • 作者单位

    Institute of Systems Science, Northeastern University, Shenyang 110819, China;

    School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116, China;

    Institute of Systems Science, Northeastern University, Shenyang 110819, China;

    Mathematics Department, Jilin Normal University, Siping 136000, China;

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