LMI方法非脆弱鲁棒H_∞控制器设计  

Non-fragile H_∞ controller design based on LMI approach

作　　者：姚成法[1] 侯明善[2] 杨常伟[2] 韩旭[1] 

机构地区：[1]西北工业大学航空学院,西安710072 [2]西北工业大学自动化学院,西安710072

出　　处：《电光与控制》2007年第6期85-87,124,共4页Electronics Optics & Control

基　　金：航空科学基金资助项目(05D53019)

摘　　要：研究了控制器增益在加法式摄动下的非脆弱鲁棒H∞控制问题,基于线性矩阵不等式(LMI)理论,提出了非脆弱鲁棒H∞控制器存在的充分条件,将具有控制器增益不确定性的非脆弱鲁棒控制器设计问题,化为具有线性矩阵不等式约束和线性目标函数的凸优化问题求解,得到了一种非脆弱鲁棒H∞状态反馈控制器的简化设计方法。所设计的控制器在容许的增益摄动下,仍能保证闭环系统的稳定性和性能要求,系统不仅具有鲁棒性而且是非脆弱的,从而使系统具有更高的可靠性。仿真结果表明了设计方法的有效性。This paper deals with the problem of how to design a robust non-fragile H∞ controller with gain variation. The sufficient conditions for the existence of non-fragile state feedback H∞ controller are developed The design of a robust non - fragile linear matrics inequality constrains controller with uncertain gain is changed into an optimization issue with and a linear objective function. A simplified design method is presented based on LMI approach. The proposed controllers are robust, non-fragile and more reliable, which can assure the stability and performance of closed system when the designed controllers vary in permitted ranges. The simulation results prove the reliability of our method.

关 键 词：非脆弱控制 增益摄动 LMI方法 鲁棒控制 

分 类 号：V271.4[航空宇航科学与技术—飞行器设计] TP273.1[自动化与计算机技术—检测技术与自动化装置]