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不确定非线性系统的鲁棒耗散性与保性能控制
引用本文:关新平,华长春,龙承念. 不确定非线性系统的鲁棒耗散性与保性能控制[J]. 控制理论与应用, 2003, 20(6): 938-942
作者姓名:关新平  华长春  龙承念
作者单位:燕山大学,电气工程学院,河北,秦皇岛,066004
基金项目:国家自然科学基金项目(60274023).
摘    要:考虑了不确定仿射非线性系统的鲁棒耗散性与保性能控制问题,不确定性范数有界,不满足匹配条件.基于HJI不等式,设计了状态反馈控制器.当扰动存在时,控制器能使系统达到耗散,当扰动为零时,所设计的控制器使系统对于给定的性能函数具有上界,最后研究了不确定线性系统的保性能与耗散性控制情形.

关 键 词:非线性系统   耗散性控制   保性能控制
文章编号:1000-8152(2003)06-0938-05
收稿时间:2001-02-21
修稿时间:2001-02-21

Robust dissipative control and guaranteed cost control for uncertain nonlinear systems
GUAN Xin-ping,HUA Chang-chun and LONG Cheng-nian. Robust dissipative control and guaranteed cost control for uncertain nonlinear systems[J]. Control Theory & Applications, 2003, 20(6): 938-942
Authors:GUAN Xin-ping  HUA Chang-chun  LONG Cheng-nian
Affiliation:Institute of Electrical Engineering, Yanshan University, Hebei Qinhuangdao 066004,China;Institute of Electrical Engineering, Yanshan University, Hebei Qinhuangdao 066005,China;Institute of Electrical Engineering, Yanshan University, Hebei Qinhuangdao 066006,China
Abstract:The problem of robust dissipative control and guaranteed cost control for uncertain nonlinear systems was considered. The uncertainties were norm bounded, and did not satisfy matching conditions. Based on HJI, a state feedback controller was constructed which rendered the closed-loop system dissipative when there existed disturbances in systems, and also guaranteed the given cost bounded for the closed-loop system without the disturbances in systems. Finally, robust dissipative was investigated and control problem for uncertain linear systems was guaranteed.
Keywords:nonlinear systems   dissipative control   guaranteed cost control
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