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| | The guaranteed cost filter design problem for a class of linear time varying uncertain systems is studied in this paper. A convenient method for the existence of robust guaranteed cost filter is given in the form of Linear Matrix Inequality (LMI). The solutions of the LMI method determine the parameters of the filter directly. The cost matrix can be optimized to get the optimal guaranteed cost filter if it exists. The robust stability of system can be guaranteed at the same time. A simulation example is gi... | | 研究了一类线性不确定系统保成本滤波器的设计问题 .用线性矩阵不等式LMI(linearmatrixinequality)的形式给出保成本鲁棒滤波器存在的简便检验方法 ,由线性矩阵不等式的解直接得到滤波器各参数的值 .对保成本滤波器存在的系统 ,进一步优化保成本矩阵 ,获得了最优保成本滤波器 ,同时保证系统具有很好的鲁棒稳定性 .最后给出了一个仿真实例 ,以验证本文结果的有效性 . | | 文摘来源 | | The robust guaranteed cost filter design problem for linear uncertain system is studied, including continuous time and discrete time systems. The design idea of the guaranteed cost filter is adopted. The convenient test approach for the existence of robust guaranteed cost filter is presented in the form of linear matrix inequality (LMI). Moreover, the parameters of the filter are determined directly by solutions of the LMI. If the robust guaranteed cost filter exists, the cost matrix can be optimized to... | | 分别研究了一类线性不确定连续和离散系统的鲁棒保成本滤波器的设计问题 .采用保成本滤波器 ( guaranteed cost filter)的设计思想 ,用线性矩阵不等式的形式给出鲁棒保成本滤波器存在的简便检验条件 ,由 LMI的解直接得到滤波器各参数的值 .对鲁棒保成本滤波器存在的系统 ,进一步优化成本矩阵 ,获得了最优鲁棒保成本滤波器 .最后给出一个仿真实例 ,结果验证了方法的有效性 | | 文摘来源 | |   |
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