二次型性能的优化降阶控制器设计

Optimal reduced order controller design for linear quadratic systems

在静态输出反馈控制器设计的基础上,设计线性系统在二次型性能指标下的优化降阶动态输出反馈控制器.动态反馈控制器可表示为一个最优降维状态估值器和一个最优静态反馈增益阵.控制器的输入阵,可用全维控制器输入阵的一个线性组合来表示.通过求解利用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.最后,通过一个例子,说明本文提出的给定解控制器设计方法.

Based on the static output feedback controller design methods, reduced order optimal dynamical output controller design methods are discussed. Optimal controller is combined of a optimal reduced order state estimator and a optimal static output feedback gain matrix. The input matrix of the given order dynamic output controller can be expressed as a linear combination of the input gain matrix of the optimal full order dynamic output controller. The optimal feedback gain matrix can be obtained by solving a static output feedback controller problem. Finally an example is given to illustrate the design method.