T-S模糊系统H_2/H_∞混合控制器设计的LMI方法

LMI-based H_2/H_∞ mixed controller designs for T-S fuzzy systems

应用线性矩阵不等式(LMI)方法研究T-S模糊系统的H2/H∞混合控制器的设计问题.首先针对T-S模糊系统分别设计H2和H∞控制器;然后以线性矩阵不等式的形式给出T-S模糊系统H2/H∞混合控制器存在的充分条件及相应的控制器设计方法.在给定的H∞干扰约束下,通过优化H2控制性能指标实现了模糊状态反馈次优控制.最后通过例子验证了所给出的H2/H∞混合控制器设计方法的可行性和有效性.

By using the LMI methods, the problem of the design of H2/H∞ mixed controller for T-S fuzzy systems is studicd. The Ha and H∞ controllers are designed respectively. Then, the sufficient condition for the existence of the H2/H∞ mixed controller is given in tcrm of LMIs, The fuzzy statc feedback suboptimal controller is achieved by minimizing the Ha control performance with the dcsired H∞ infinity disturbance rejection constraint. Finally, a simulation example shows the feasibility and effectiveness of the design procedures.