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Robust Stability and Stabilization for Singular Time-Delay Systems with Linear Fractional Uncertainties: A Strict LMI Approach

机译:具有线性分数不确定性的奇异时滞系统的鲁棒稳定性和镇定:严格的LMI方法

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摘要

This paper is concerned with the problems of delay-dependent robust stability and stabilization for a class of continuous singular systems with time-varying delay in range and parametric uncertainties. The parametric uncertainties are assumed to be of a linear fractional form, which includes the norm bounded uncertainty as a special case and can describe a class of rational nonlinearities. In terms of strict linear matrix inequalities (LMIs), delay-range-dependent robust stability criteria for the unforced system are presented. Moreover, a strict LMI design approach is developed such that, when the LMI is feasible, a desired state feedback stabilizing controller can be constructed, which guarantees that, for all admissible uncertainties, the closed-loop dynamics will be regular, impulse free, and robustly asymptotically stable. Numerical examples are provided to demonstrate the effectiveness of the proposed methods.
机译:本文研究了一类具有时变时滞和参数不确定性的连续奇异系统的时滞相关鲁棒稳定性和镇定问题。假定参数不确定性为线性分数形式,其中包括范数有界不确定性作为特殊情况,并且可以描述一类有理非线性。根据严格的线性矩阵不等式(LMI),给出了非强迫系统依赖于延迟范围的鲁棒稳定性判据。此外,还开发了严格的LMI设计方法,以便在LMI可行时,可以构造所需的状态反馈稳定控制器,从而保证在所有容许的不确定性下,闭环动力学将是规则的,无脉冲的,并且鲁棒渐近稳定。数值例子说明了所提方法的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第14期|598357.1-598357.11|共11页
  • 作者

    Jinxing Lin; Lina Rong;

  • 作者单位

    College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, China,Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Southeast University, Nanjing 210096, China;

    College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;

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