Decentralized Robust H∞Output Feedback Control for Value Bounded Uncertain Large-scale Interconnected Systems

W. Gui, Can Huang, Yongfang Xie, Zhaohui Jiang, Chunhua Yang
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引用次数: 1

Abstract

For large-scale interconnected systems with value bounded uncertainties existing in the state, control and interconnected matrices, the design of a decentralized robust Hinfin output feedback controller is investigated. Based on the bounded real lemma sufficient conditions for the existence of a decentralized robust Hinfin controller are obtained in terms of a set of matrix inequalities. According to Schur complement, a homotopy iterative linear matrix inequality method is put forward to construct a decentralized robust Hinfin controller by fixing different variables. The controller obtained enables the closed-loop large-scale systems robust stable and satisfies the given Hinfin performance. At last a numerical example is given to illustrate the effectiveness of the offered method
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值有界不确定大型互联系统的分散鲁棒输出反馈控制
针对状态、控制和互联矩阵中存在值有界不确定性的大型互联系统,研究了分散鲁棒Hinfin输出反馈控制器的设计。基于有界实数引理,用一组矩阵不等式给出了分散鲁棒Hinfin控制器存在的充分条件。根据Schur补,提出了一种同伦迭代线性矩阵不等式方法,通过固定不同变量来构造分散鲁棒Hinfin控制器。所得到的控制器使闭环大系统鲁棒稳定,满足给定的Hinfin性能。最后通过一个算例说明了所提方法的有效性
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