基于保成本设计的参数不确定性表示的优化

描述闭环系统的参数不确定性有多种方法,不同的方法会产生不同的结果.定义了标变因子,提出并证明了优化定理,对参数不确定性表示矩阵进行优化选择.基于保成本设计,借助仿真计算进一步对优化定理进行验证并给出了参数不确定性表示矩阵的优化步骤.研究表明,参数不确定的表示矩阵不同将会得到不同的保成本指标上界,使用优化定理选择参数不确定性的表示矩阵能够保证总是存在合适的表示矩阵以使得保成本指标上界达到最小.

Optimization of Parametric Uncertainty Presentation Based on Guaranteed cost Design

There are many methods for describing the parametric uncertainty and each method results in different conclusion. Based on guaranteed cost design, this paper defines a scalar variable factor,comes up with the optimization theorem. Further the paper verifies the optimization theorem via simulation and gives the optimization procedure of parametric uncertainty presentation matrices. The study shows that different presentation matrices for describing parametric uncertainty will lead to different guaranteed cos...