线性不确定系统的给定阶最优控制器设计

为避免间接法设计降阶控制器的模型近似引起的性能下降,本文在静态输出反馈控制器设计的基础上,直接设计了线性不确定系统的给定阶混合H2/H∞动态反馈控制器.利用系统内外分解方法,得到了最优降阶状态观测器.通过求解降维状态观测器的静态输出反馈,可得到降阶控制的最优反馈增益阵.给定阶控制器由两个Ric cati方程和一个Lyapunov方程参数化表示.最后,通过一个例子,说明了本文提出的给定阶控制器设计方法.

Given order optimal controller design for linear uncertain systems

To avoid the performance degeneration caused by model approximation used in indirect reduced controller design methods, motivated by the static output feedback controller design methods, given order optimal dynamical output controller design methods are discussed. An optimal reduced order state observer is obtained by using system decomposition. The optimal feedback gain matrix could be obtained by solving a static output feedback controller problem. The parameterized mixed H_two/H_infinity controller was given by two Riccati equations and a Lyapunov equation. Finally, an example was offered to illustrate the design method.