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Static output feedback stabilization for systems with time-varying delay based on a matrix transformation method

基于一种矩阵变换方法的线性时变时滞系统的静态输出反馈镇定

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Abstract

This paper is concerned with the problem of static output feedback stabilization for linear systems with time-varying delay. A novel controller design is proposed based on a matrix transformation method with a new equation condition, which can solve the controller gain more easily and avoid complicated calculations of the non-linear matrix inequality. Then, the corresponding criteria can be obtained by combining the matrix transformation method and the ideas of non-uniformly dividing delay interval, which can guarantee the asymptotic stability of the closed-loop systems and calculate the satisfactory controller gain. Finally, two numerical examples are provided to verify the effectiveness of the proposed design scheme.

创新点

提出了一种基于矩阵变换方法的输出反馈控制器设计方案, 这个方案可以更加方便的求解出控制器的增益, 从而避免了由于求解非线性矩阵不等式所带来的复杂运算. 通过结合非一致划分时滞区间方法, 提出的矩阵变换方法可以更好的处理带有时变时滞的线性系统的输出反馈镇定问题, 保证其闭环系统的稳定性. 通过理论证明, 分析了提出方法相对于现有方法的相互关系, 定性地说明该方法的优势.

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    ZhenWei Liu, HuaGuang Zhang & QiuYe Sun

  2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110004, China

    ZhenWei Liu, HuaGuang Zhang & QiuYe Sun

Authors
  1. ZhenWei Liu
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  2. HuaGuang Zhang
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  3. QiuYe Sun
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Correspondence to HuaGuang Zhang.

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Liu, Z., Zhang, H. & Sun, Q. Static output feedback stabilization for systems with time-varying delay based on a matrix transformation method. Sci. China Inf. Sci. 58, 1–13 (2015). https://doi.org/10.1007/s11432-014-5205-6

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