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中文摘要：
研究了离散T-S模糊广义系统的H∞控制问题．首先引入辅助矩阵变量得到新的容许性条件，解决了由于矩阵P的不定性，无法运用Schur补引理处理非线性Lyapunov不等式的问题，进而得到严格不等式表示的H∞控制条件．基于模糊Lyapunov函数方法，分别研究了状态反馈控制器、静态输出反馈控制器、动态输出反馈控制器的构造方法．所得结论可推广到系统具有范数有界不确定性的情况．最后通过算例验证方法的有效性．
英文摘要：
The H-infinity control problem of discrete T-S fuzzy descriptor systems is investigated. Auxiliary matrix variables are introduced for obtaining new admissible conditions to deal with the indefiniteness of matrix P, which causes the Schur-complement being unable to be applied to solve the nonlinear Lyapunov inequality. Then, the H-infinity control conditions in terms of strict inequalities are obtained. Subsequently, based on the fuzzy Lyapunov function, the design method of state-feedback controller, static output-feedback controller and dynamic output-feedback controller are studied. The obtained results can be applied to systems with norm-bounded uncertainties. Finally, numerical example shows the effectiveness of the proposed method.
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Lur'e Lyapunov functions and Absolute stability criteria for Lur'e systems with multiple nonlinearit
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