一类基于T-S模糊模型的非线性广义系统的鲁棒H_∞控制  

Robust H_∞ Control for a Class of Nonlinear Descriptor Systems Based on T-S Fuzzy Model

作　　者：朱宝彦[1] 刘爱斌[1] 赵恩良[1] 畅春玲[1] 

机构地区：[1]沈阳建筑大学理学院,辽宁沈阳110168

出　　处：《沈阳建筑大学学报（自然科学版）》2016年第2期376-384,共9页Journal of Shenyang Jianzhu University：Natural Science

基　　金：国家自然科学基金项目(61273003)

摘　　要：目的解决一类时滞T-S模糊广义系统的鲁棒H∞控制问题.方法利用Lyapunov函数方法、矩阵缩放理论以及线性矩阵不等式(LM I)技术研究了一类基于T-S模糊模型的非线性广义系统的鲁棒H∞控制.结果首先给出了基于观测器的H∞控制器存在的充分条件,保证了闭环系统是容许且具有H∞性能.通过矩阵缩放理论把这个充分条件表示成了线性矩阵不等式形式,得到了H∞控制器设计方法.结论在系统状态未知并且具有时滞和干扰情况下,所提出的方法很好地解决一类基于模糊模型的非线性广义系统的鲁棒H∞控制问题,通过一个数值算例说明了所提方法的有效性和可行性.This paper investigated the robust H∞control problem for a class of time-delay nonlinear descriptor systems based on T-S fuzzy model using the Lyapunov function,matrix magnified theory and linear matrix inequality（ LM I） method. The sufficient condition was proposed for the existence of an observer-based controller to guarantee that the closed-loop systems were admissible with H∞performance,and the proposed condition was expressed in the form of LM Is based on the matrix magnified theory to obtain the solution of H∞controller. The the robust H∞control problem were well solved for the nonlinear descriptor system based on T-S fuzzy model,and a numerical example was presented to prove the validity and feasibility of the proposed algorithm.

关 键 词：T-S模糊广义系统 控制 观测器 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]