不确定非线性系统的H_∞状态反馈可靠控制

Reliable H∞ State Feedback Control of Uncertain Nonlinear Systems

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．

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.