摘要
面向具有强非线性的复杂工业过程,利用T-S模糊模型逼近原非线性系统,把T-S模糊模型逼近非线性系统存在的误差描述成有界时变的扰动,进而提出带扰动的T-S模糊系统的有限时间控制方法。首先,给出线性系统有限时间有界性的一个充分条件,与现有结果相比,该条件具有较小的保守性,并可以处理扰动是时变的情况;然后,提出T-S模糊系统有限时间镇定控制器的设计方法;最后,给出基于线性矩阵不等式(LMI)的控制器设计算法,并通过数值算例演示所给方法的有效性。
In this paper considers, complex process industry with nonlinearities are approximated by T-S fuzzy model and the errors re- suiting from approximating a nonlinear system via a T-S fuzzy model are described as time-varying and ＇norm-bounded disturbances and then proposes a finite-time control method for T-S fuzzy systems subject to disturbances. Firstly, this paper derives a sufficient condition for linear systems to be finite-time bounded. Compared with the existing result, this condition is less conservative and admits the dis- turbances to be time-varying. Then, based on the above mentioned condition, a finite-time stabilization controller design method is presented. Finally, the design method is reduced to an LMI based algorithm and illustrated by a numerical example.
出处
《控制工程》
CSCD
北大核心
2012年第5期877-880,884,共5页
Control Engineering of China
基金
国家自然科学基金资助项目(60904009)
中央高校基本科研业务费资助(N100406010
N090408001)
