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应用科学学报 ›› 2000, Vol. 18 ›› Issue (3): 280-282.

• 论文 • 上一篇    

不确定非线性系统的H∞状态反馈可靠控制

伏玉笋, 田作华, 施颂椒   

  1. 上海交通大学自动化研究所, 上海 200030
  • 收稿日期:1999-11-18 修回日期:2000-01-11 出版日期:2000-09-30 发布日期:2000-09-30
  • 作者简介:伏玉笋(1972-),男,甘肃秦安人,博士生;施颂椒(1933-),男,上海市人,教授,博导.

Reliable H∞ State Feedback Control of Uncertain Nonlinear Systems

FU Yu-sun, TIAN Zuo-hua, SHI Song-Jiao   

  1. Institute of Automation, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:1999-11-18 Revised:2000-01-11 Online:2000-09-30 Published:2000-09-30

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摘要： 研究了不确定非线性系统的H∞状态反馈可靠控制问题.用耗散理论,基于Hamilton-Jocabi不等式,得到了非线性H∞状态反馈可靠控制问题可解的充分条件及控制器的设计算法.

关键词: H∞理论, 可靠控制, Hamilton-Jacobi不等式, 非线性系统

Abstract: This paper is concerned with the reliable state feedback controller design problem for a class of uncertain nonlinear systems. By using dissipative theory, a procedure of designing reliable nonlinear controller is presented in terms of the solutions of the Hamilton-Jacobi inequality. The resulting closed-loop system is reliable in the sense that the performance (i. e., internal stability and H∞ attenuation) of the closed-loop system is guaranteed not only when all actuators are operational, but also when some actuator outages occur.

Key words: nonlinear system, H∞ theory, reliable control, Hamilton-Jacobi ineguality

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