圆盘区域极点约束鲁棒非脆弱控制

Robust Non-fragile Control with Pole Constraint in a Circular Disk

针对一类参数不确定线性系统,研究了具有圆盘区域极点约束的状态反馈鲁棒非脆弱控制器设计问题。系统中的参数不确定性满足范数有界条件,设计的非脆弱控制器具有加性和乘性不确定项。基于线性矩阵不等式(LMI),提出了将闭环系统极点配置到指定圆盘区域的状态反馈鲁棒非脆弱控制器存在的充分条件。然后利用G辅助变量替换技术拓展了圆盘极点配置的线性矩阵不等式(LMI)条件,提出保守度较低的状态反馈非脆弱控制器设计方法。数值仿真例子验证了给出的控制器设计方法的可行性。

The problem of robust non-fragile control design for uncertain systems with pore constramt tn a circular disk is investigated. The sufficient conditions about the existence of robust non-fragile control with disk pole constraint have been developed for uncertain systems in terms of linear matrix inequality （LMI） condition. Then the new less conservative LMI conditions for control design have been proposed via G-shaping method. The numerical examples show that the results are valid.