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基于散射模型的H_∞控制系统的稳定性
Stability of Had Control Systems Based onChain-Scattering Representation
【摘要】 本文利用(J,J')-无损矩阵的性质,研究了基于散射模型的H∞控制系统的闭环稳定性,获得了广义对象的散射模型为(J,J’)-无损的H∞控制问题可解的充要条件.与文[1]中关于广义对象为一类内矩阵的H∞控制问题求解的结果相比,本文的结论对广义对象的限制要弱.
【Abstract】 The closed-loop stability of Had control systems based on chain-scattering representation isstudied by using the property of (J,J’)-lossless matrix. A necessary and sufficient condition for the H∞control systems where the chain-scattering representation of generalized plant is a (J,J’)-lossless matrixis obtained. In comparison with the result of [1] about the stability of H∞ control problem for an inner system,the constraint on the generalized plant is weak.
【关键词】 H∞控制;
闭环稳定性;
散射模型;
(J.J’)-无损矩阵;
内矩阵;
【Key words】 H∞ contro14 closed-loop stability; chain-scattering representation; (J, JI )-lossless matrix; inner matrix;
【Key words】 H∞ contro14 closed-loop stability; chain-scattering representation; (J, JI )-lossless matrix; inner matrix;
【基金】 国家自然科学基金
- 【文献出处】 控制理论与应用 ,CONTROL THEORY & APPLICATIONS , 编辑部邮箱 ,1996年05期
- 【分类号】TP202.1
- 【下载频次】40