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应用科学学报 ›› 2001, Vol. 19 ›› Issue (3): 245-248.

• 论文 • 上一篇    下一篇

具有复制执行机构的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:2000-04-18 修回日期:2000-06-10 出版日期:2001-09-30 发布日期:2001-09-30
  • 作者简介:伏玉笋(1972-),男,甘肃秦安人,博士生;施颂椒(1933-),男,上海人,教授,博导.

Reliable H∞ State Feedback Control for Uncertain Nonlinear Systems with Duplicated Actuators

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

  1. Institute of Automation, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2000-04-18 Revised:2000-06-10 Online:2001-09-30 Published:2001-09-30

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摘要： 研究了具有复制执行机构的不确定非线性系统的H∞状态反馈可靠控制.用耗散理论,基于Hamilton-Jo-cabi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,使得当有执行机构失效时,闭环系统仍渐近稳定且L2增益有限.

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

Abstract: This paper is concerned with the reliable state feedback controller design problem for a class of uncertain nonlinear systems with duplicated actuators. By using dissipative theory, a procedure of designing reliable nonlinear controller is presented on the basis of 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 inequality

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