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考虑时域硬约束的T-S模糊系统鲁棒H控制
引用本文:高兴泉,马苗苗,陈 虹.考虑时域硬约束的T-S模糊系统鲁棒H控制[J].控制理论与应用,2009,26(7):715-721.
作者姓名:高兴泉  马苗苗  陈 虹
作者单位:1. 吉林化工学院信息与控制工程学院,吉林,吉林,132022;吉林大学,通信工程学院,吉林,长春,130025
2. 吉林大学,通信工程学院,吉林,长春,130025
基金项目:国家杰出青年科学基金资助项目(60725311); 吉林省科技厅资助项目(200705C13); 吉林省教育厅资助项目(2008179).
摘    要:针对带有时域硬约束(包括执行器饱和约束与状态约束)的不确定T-S模糊系统, 提出了一种鲁棒H控制方法. 先给出在不确定性参数范数有界的前提下T-S模糊系统满足给定H性能指标的充分条件, 再寻找在一个有界能量干扰作用下包含所有系统状态轨迹的椭圆域, 然后利用双椭圆域方法和S-Procesure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实现一个带有LMI约束的优化问题. 文中的最后给出并讨论了该方法用于倒立摆系统的仿真结果.

关 键 词:T-S模糊系统    时域硬约束    参数不确定    鲁棒H控制    双椭圆域
收稿时间:2007/8/18 0:00:00
修稿时间:2009/1/14 0:00:00

Robust H-infinity control for T-S fuzzy systems with time-domain hard constraints
GAO Xing-quan,MA Miao-miao and CHEN Hong.Robust H-infinity control for T-S fuzzy systems with time-domain hard constraints[J].Control Theory & Applications,2009,26(7):715-721.
Authors:GAO Xing-quan  MA Miao-miao and CHEN Hong
Affiliation:College of Information Science and Control Engineering, Jilin Institute of Chemical Technology, Jilin Jilin 132022, China; School of Communication Engineering, Jilin University, Changchun Jilin 130025, China;School of Communication Engineering, Jilin University, Changchun Jilin 130025, China;School of Communication Engineering, Jilin University, Changchun Jilin 130025, China
Abstract:For uncertain Takagi-Sugeno(T-S) fuzzy systems with time-domain constraints on control inputs and states, a robust control scheme is proposed. Sufficient condition for achieving a given H-infinity performance level for the uncertain T-S fuzzy systems is given. Under the bound assumption of the disturbance energy, an ellipsoid containing all perturbed trajectories is found, and then, the time-domain hard constraints are translated into constraints in linear matrix inequalities (LMI) by using S-Procesure and double-ellipsoid method. This multi-objective design is eventually brought into solving an optimization problem with LMI constraints. Simulation of the application to an inverted pendulum is performed; and results are discussed.
Keywords:T-S fuzzy systems  time-domain hard constraints  uncertainties  robust H-infinity control  double-ellipsoid
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