广义T-S模糊系统的鲁棒非脆弱控制  

Robust and Non-Fragile Control for Descriptor T-S Fuzzy System

作　　者：马宝萍[1] 赵谨[1] 

机构地区：[1]南京师范大学电气与自动化工程学院,江苏南京210042

出　　处：《南京师范大学学报（工程技术版）》2006年第3期10-13,89,共5页Journal of Nanjing Normal University(Engineering and Technology Edition)

基　　金：江苏省教育厅自然科学资助项目(2004113TSJB142)

摘　　要：在控制器的实现过程中,由于A/D、D/A转换,有限字长限制以及舍入误差等因素的影响,使得控制器自身具有不确定性.非脆弱控制的目的就是使控制器能够克服这种不确定性,保证系统的稳定性,并满足性能指标要求.研究了广义T-S模糊系统的鲁棒非脆弱控制,考虑控制器增益为加法式摄动,基于李亚普诺夫稳定性定理和线性矩阵不等式(LM I)方法,给出了非脆弱鲁棒控制器的存在条件与求解方法.仿真实例表明了该方法的有效性和可行性.In actual applications, imprecision in controller implementation, caused by A/D, D/A transformation, finite word length and errors, is unavoidable. Recently, non-fragile controller, which is robust to controller gain variations, has attracted more and more attention. This paper is concerned with the design problem of non - fragile controller for descriptor T-S fuzzy system, using Linear Matrix Inequalities （LMI）. The controller uncertainties are assumed to be a class of additive. Based on the Lyapunov method, the state feedback control design for robust stability is given in terms of solutions to a LMI. A numerical example is presented to show the effectiveness and feasibility of this method.

关 键 词：模糊广义系统 非脆弱控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]