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

• 作 者: LIU Zhen Wei ZHANG HuaGuang SUN QiuYe
• 机 构: College of Information Science and Engineering,Northeastern University,State Key Laboratory of Synth
• 出 处: Science China(Information Sciences)
• 发表日期: 2015年01期
• 关键词: stabilization guarantee inequality satisfactory asymptotic concerned iterative s

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.

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-uniform dividing delay interval, which can guarantee the asymptotic stability of the closed-loop systems and calculate the satisfactory results Finally, two numerical examples are provided to verify the effectiveness of the proposed design scheme.