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以结构奇异值理论为工具,对线性奇异系统的鲁棒分析与鲁棒综合进行了研究.从奇异系统的快、慢分解形式入手,结合结构奇异值理论中的主回路定理,给出了线性奇异系统鲁棒稳定的充分必要条件.并以此鲁棒稳定条件为基础,进一步给出了线性奇异系统的μ综合方法.仿真计算表明,对线性奇异系统的鲁棒分析与鲁棒综合问题的研究结果是有效的.
Using the theory of structure singular value as a tool, robust analysis and robust synthesis of linear singular systems are studied. Starting from the form of fast and slow decomposition of singular systems, the necessary and sufficient conditions for the robust stabilization of linear singular systems are given by combining with the main loop theorem in the singular value theory of structures. Based on the robust stability conditions, the μ synthesis method for linear singular systems is given. Simulation results show that the results of the robust analysis and robust synthesis of linear singular systems are effective.