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

中文关键词  T-S模糊系统  鲁棒控制  可靠控制  LMI 广义性能指标  

英文关键词  T-S fuzzy systems  robust control  reliable control  generalized performance indexes  linear matrix inequality(LMI)

中文摘要

      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/L1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.

英文摘要

      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.