不确定系统受方差约束和鲁棒R稳定的H_∞动态输出反馈控制

Dynamic Output Feedback Robust H_∞ Control of Uncertain Systems with R-Stability and Variance Constraints

根据满意控制的思想,设计动态输出反馈控制器,使连续不确定系统满足预先给定的H∞指标、线性矩阵不等式(LMI)区域极点配置和方差约束指标,以保证系统具有期望的性能.利用线性矩阵不等式方法,将上述3类指标约束下的动态输出反馈控制器设计问题转化成一组LMI的可行解问题,借助Matlab-LMI工具箱进行有效求解.数值算例说明了所提出设计方法的有效性.

Based on the idea of the satisfactory control, a design method of the dynamic output feedback control is proposed for a class of uncertain systems, so that the closed-loop system satisfies prescribed specifications of H∞, the linear matrix inequality （LMI） regional pole placement and the variance constraints. By 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 box. A numerical example shows the validity of the proposed design method.