H∞ output feedback control for uncertain systems with time-varying delays
H∞ output feedback control for uncertain systems with time-varying delays
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DOI：
10.1109/ccdc.2010.5498285
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发表时间：
2010-05
期刊：
影响因子：
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通讯作者：
Yingchun Wang;Huaguang Zhang;Dongsheng Yang;M. Dong
中科院分区：
文献类型：
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作者：
Yingchun Wang;Huaguang Zhang;Dongsheng Yang;M. Dong
针对具有时变时滞的不确定系统，提出了一种设计H∞输出反馈控制器的新方法。通过定义一个新的松弛Lyapunov参数矩阵和引入一些自由权矩阵，建立了基于凸线性矩阵不等式（LMI）的闭环系统鲁棒稳定性和指数稳定性的充分条件，并满足规定的H∞性能水平。该方法的优点是Lyapunov参数矩阵松弛，结果的保守性大大降低。此外，由于其为凸LMI形式，可以直接通过Matlab中的LMI工具箱对控制器参数进行测试和求解，不需要迭代算法。算例表明了该方法的有效性和较低的保守性。
In this paper a new approach is proposed to design an H∞ output feedback controller for uncertain systems with time-varying delay. By defining a new relaxed Lyapunov parameter matrix and introducing some free-weighting matrices, convex linear matrix inequality (LMI) based sufficient conditions are established to ensure robust and exponential stability and to meet a prescribed H∞ performance level for the resulting closed-loop system. The advantages of the proposed approach are that the Lyapunov parameter matrix is relaxed and the conservatism of results is reduced largely. Moreover, due to the convex LMI form, it can be directly tested and solved the controller parameters by LMI toolbox in Matlab and iterative algorithm is not required. Two examples are given to show the effectiveness and the less conservatism of the results.