一类基于观测器的线性不确定系统的正实控制

the Observer-Based Positive Real Control Problem for a Class of Linear Systems with General Uncertainties

本文考虑了一类基于观测器的线性不确定系统的正实控制问题,其中它的不确定性更具一般性.把这类问题转化为带有常量参数的系统的正实控制问题,通过求解线性矩阵不等式得到控制器参数的解,设计的此类基于观测器的控制器,使得闭环系统稳定且扩展严格正实.最后通过仿真算例进一步验证了该控制方案的有效性.

The observer- based positive real control problem for a class of linear systems with general uncertainties is considered. By casting this problem into a class of positive real control problems with scaling parameters, uncertainty- independent solutions are established and expressed in linear matrix inequalities. The problem we addressed is to design observer- based dynamic output - feedback controllers, so that the closed- loop system extends strictly positive realness. Then the numerical example is given to demonstrate the validity of the approach.