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不确定非线性广义系统的鲁棒控制与保性能控制 被引量:12

Robust control and guaranteed cost control for uncertain nonlinear systems
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摘要 研究了不确定非线性结构扰动的广义系统的鲁棒控制和保性能控制问题,该不确定性为时间、状态函数且满足Lipschitz条件的。目的是分别设计系统的鲁棒控制器和保性能控制器。应用线性矩阵不等式方法,分别给出了系统的鲁棒控制器和保性能控制器存在的充分条件;并在这些条件可解时,分别给出了鲁棒控制器和保性能控制器的表达式。最后用例子说明了所给方法的应用。 Robust control and guaranteed cost control tion systems are discussed. The uncertainty is a function problems for uncertain nonlinear structured perturba of time and system state and satisfies Lipschitz con straint. The aim is to design a robust controller and a guaranteed cost controller. By means of the linear matrix inequality approach (LMI), sufficient conditions for existence of robust controller and guaranteed cost controller are presented. When these LMIs are feasible, explicit expressions of robust controller and guaranteed cost controllers are obtained respectively. Finally, a numerical proposed method. example is provided to demonstrate the application of the proposed method.
出处 《系统工程与电子技术》 EI CSCD 北大核心 2007年第6期955-957,961,共4页 Systems Engineering and Electronics
基金 国家自然科学基金(60474078) 江苏高校自然科学计划(04KJD120016)资助课题
关键词 扰动系统 不确定广义系统 鲁棒控制 保性能控制 LMI方法 perturbation systems uncertain singular systems robust control guaranteed cost control LMI approach
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参考文献11

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