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不确定系统的输出反馈鲁棒正实优化设计

Robust positive real optimization synthesis by output feedback for uncertainty systems
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摘要 讨论了系数矩阵具有有界范数不确定性系统的输出反馈鲁棒严格正实设计问题。基于不确定系统二次扩展严格正实的概念,利用线性矩阵不等式方法,得到了不确定系统存在动态输出反馈控制使得闭环系统二次扩展严格正实的充要条件,并进一步给出了正实控制器的设计方法。 The problem of synthesizing a robustly positive real output-feedback controller was discussed. A linear time-invariant plant with norm-bounded uncertainties was considered. Based on the conception of quadratic extended strictly positive real system, necessary and sufficient conditions for the closed-loop system to be quadratic extended strictly positive real were established. Furthermore, state-space formulas for the dynamic output-feedback controller were derived in terms of solutions to linear matrix inequalities.
作者 张高民
出处 《石油大学学报(自然科学版)》 EI CSCD 北大核心 2005年第1期123-126,共4页 Journal of the University of Petroleum,China(Edition of Natural Science)
关键词 不确定系统 输出反馈 鲁棒性 优化设计 控制系统 线性矩阵 控制器 uncertainty system output feedback robustness strictly positive real optimization design
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