广义性能指标下T-S模糊系统的鲁棒可靠控制  

Robust reliable control of T-S fuzzy systems under the generalized performance indexes

作　　者：陶洪峰[1] 胡寿松[2] 

机构地区：[1]江南大学通信与控制工程学院,江苏无锡214122 [2]南京航空航天大学自动化学院,江苏南京210016

出　　处：《控制理论与应用》2010年第5期589-596,共8页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60674092);航空科学基金资助项目(05E52031);江南大学创新团队发展计划资助项目

摘　　要：针对一类具有输入及输出端扰动的T-S模糊系统,在线性矩阵不等式区域内定义了非线性系统的稳态及动态广义性能指标,提出了线性矩阵不等式(LMI)方法下可靠输出反馈控制器存在的充分条件,从而保证闭环系统在传感器或执行器发生结构性故障时的稳态及动态性能,且始终满足基于L2/L∞范数理论的鲁棒性能,并利用投射引理引入附加阵,解耦该充分条件中的控制器变量与相关Lyapunov函数变量,增加设计的自由度.F-16歼击机的纵向通道控制仿真表明了方法的有效性.For a class of T-S fuzzy systems with disturbances in the inputs and outputs,the generalized steady and dynamic performance indices of nonlinear systems are defined in the linear matrix inequality region,and the sufficient conditions for the existence of a reliable output feedback controllers are derived in terms of the LMIs,so that the closedloop systems can maintain steady and dynamic performances even when the sensors or the actuators are failed,and the mixed L-two/L-infinity robust performance can always be held.Under the proposed sufficient conditions,an extra matrix is introduced by the projection lemma,and the variables between the Lyapunov function and the controllers are decoupled for increasing the degrees of the freedom in the design process.The simulation of the longitude control for the F-16 fighter indicates the effectiveness of the proposed method.

关 键 词：T-S模糊系统 鲁棒控制 可靠控制 LMI广义性能指标 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]