直接多模型自适应控制器设计——LMI方法

本文将线性矩阵不等式(LMI)方法引入直接多模型自适应控制, 将直接多模型控制器的 设计过程转化为求解线性矩阵不等式的可行解问题，同时给出在不同不确定参数范围内的多 个状态反馈控制器，并由此构成直接多模型自适应控制器．同时将直接多模型自适应控制推 广到多输入多输出被控对象的设定值跟踪问题，并给出稳定性分析结果．

DESIGNING DIRECT MULTIPLE MODEL ADAPTIVE CONTROL-LMI APPROACH

A linear matrix inequality (LMI) method is introduced to design direct multiple model adaptive controller. The design problem of multiple model adaptive control is changed into finding the feasible solutions of multiple linear matrix inequalities. Multiple state feedback controllers within different uncertain parameter scopes are given, by which a direct multiple model adaptive control is set up. In this paper, direct multiple model adaptive control is also extended to the set point value tracking problem of MIMO system, and the stability of closed loop system is proven.