一类线性时变系统的输出反馈控制

Output Feedback Control of a Class of Linear Time-varying Systems

基于线性时不变系统能控能观标准型变换及非线性系统高增益观测器方法,本文研究了一类线性时变系统的输出反馈控制问题.通过引入时变的状态变量坐标变换,分别设计了线性时变系统的状态反馈控制器、状态观测器以及基于状态观测器的输出反馈控制器.进一步地,本文分别证明了观测器动态误差是渐近收敛于零的,而状态反馈控制器以及输出反馈控制器可以保证闭环系统的渐近稳定性.

In this paper, output feedback control is investi- gated for a class of linear time-varying systems based on the ideas of controllable and observable canonical forms in the the- ory of linear time-invariant systems and high-gain observers in the theory of nonlinear systems. The state feedback controller, the state observer and the observer-based output feedback con- troller are respectively derived for linear time-varying systems by using time-varying transformations of state variables. It is further proved that the observer errors are asymptotically con- vergent to zero, and the state feedback controller and output feedback controller can demonstrate the asymptotic stability of the closed-loop system.