满足H_∞,区域极点和方差指标约束的动态输出反馈控制研究

On dynamic output control with constraints on H_∞, pole placement and covariance

根据满意控制的思想 ,设计动态输出反馈控制器参数 ,使连续线性随机系统满足预先给定的H∞ 指标、扇形区域极点指标和协方差上界指标 ,以保证系统具有期望的性能。首先建立一个使闭环系统满足扇形区域极点指标的充分条件 ,然后利用线性矩阵不等式方法 ,将上述 3类指标约束的动态输出反馈控制器设计问题转化成一组 L MI的可行解问题 ,后者可借助 Matlab- L MI工具箱进行有效求解。

Based on the conception of satisfactory control, a design method of dynamic output feedback controllers is proposed for a class of continuous linear stochastic systems, so that the closed-loop system satisfies prescribed specifications of H infinity, sector pole placement and covariance upper-bound. A sufficient condition is first presented for the closed-loop system's poles assigned in the given sector. Then via linear matrix inequalities (LMI) approach, the design of dynamic output feedback controllers with above three specifications is transformed into the feasible problem of some certain LMI system. The latter can be efficiently solved by means of Matlab-LMI control toolbox. A numerical example shows the validity of the proposed design method.