范数有界不确定连续系统的鲁棒H/sub /控制——一种LMI方法

2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508) Pub Date : 2004-09-02 DOI:10.1109/CACSD.2004.1393883

Cheng-Te Lai, C. Fang, S. Kau, Chin-Hsing Lee

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引用次数: 7

摘要

研究具有时变范数有界不确定性的连续系统的鲁棒H/sub /控制问题。以线性矩阵不等式(LMI)的形式给出了鲁棒H/sub /控制分析的充分必要条件。根据分析结果，分别设计了状态反馈控制器和动态输出反馈控制器，使闭环不确定系统是二次稳定的，且其所有传递矩阵都具有H/sub 2/-范数，且有规定值为界。利用LMI方法，给出了上述设计问题可解性的两个充要条件。

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Robust H/sub 2/ control of norm-bounded uncertain continuous-time system-an LMI approach

This paper considers robust H/sub 2/ control problem of continuous-time systems with time-varying norm-bounded uncertainties. A necessary and sufficient condition for the analysis of robust H/sub 2/ control is derived in the form of linear matrix inequalities (LMI). Using the analysis result, a state feedback controller and a dynamic output feedback controller are designed respectively so that the closed-loop uncertain system is quadratically stable and all its transfer matrices have H/sub 2/-norm bounded by a prescribed value. With LMI manipulations, two necessary and sufficient conditions for the solvability of above design problems are addressed.

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来源期刊

2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)

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