【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。更多还原

【Abstract】 In this paper considers,complex process industry with nonlinearities are approximated by T-S fuzzy model and the errors resulting 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 lor linear systems to be finite-time bounded.Compared with the existing result,this condition is less conservative and admits the disturbances 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.更多还原