时域约束T-S模糊系统的H_∞控制  

H_∞ Control for T-S Fuzzy Systems with Time-domain Constraints

作　　者：高兴泉[1,2] 陈虹[2] 

机构地区：[1]吉林化工学院信息与控制工程学院,吉林吉林132022 [2]吉林大学通信工程学院,吉林长春130025

出　　处：《信息与控制》2009年第2期136-141,共6页Information and Control

基　　金：国家杰出青年科学基金资助项目(60725311);吉林省科技厅科研资助项目(200705C13);吉林市杰出青年基金资助项目(200708)

摘　　要：针对存在时域硬约束与外部干扰的T-S模糊系统,在LMI优化的框架下提出了一种H_∞控制方法.首先给出T-S模糊系统满足给定H_∞性能指标的充分条件,并确定一个初始状态所在的椭圆域;然后寻找在有界能量干扰作用下另一个能包含系统所有可能状态轨迹的椭圆域;最后利用双椭圆域方法将时域硬约束转化为一组LMI约束.这种多目标设计最终归结为一个求解LMI约束的优化问题.TORA系统的仿真结果说明本文方法是有效的.For T-S fuzzy systems with time-domain hard constraints and external disturbances, an H∞ control scheme on the framework of LMI （linear matrix inequality） optimization is proposed. First, sufficient conditions satisfying the given H∞ performance indexes are given and the ellipsoid set including the initial state is appointed. Then, under the bound assumption of the disturbance energy, another ellipsoid containing all perturbed trajectories is determined. Finally, the double-ellipsoid method is used to translate time-domain hard constraints into LMI conditions. This multi-objective design finally becomes an optimization problem to solve the LMI constraints. Simulation results of TORA （translational oscillator with an eccentric rotational proof mass actuator） system show that the proposed sheme is effective.

关 键 词：T-S模糊系统 时域硬约束 H_∞控制 双椭圆域 LMI 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]