一类模糊双曲正切模型稳定性控制  

System stability control of the fuzzy hyperbolic model

作　　者：王进野[1] 姚瑞英[2] 张纪良[1] 王其军[1] 

机构地区：[1]山东科技大学电气工程系,山东泰安271019 [2]河北化工医药职业学院化工系,河北石家庄050026

出　　处：《山东大学学报（工学版）》2007年第2期63-66,71,共5页Journal of Shandong University（Engineering Science）

摘　　要：研究了一类模糊双曲正切模型的稳定性控制设计问题,所讨论的系统包含不确定性参数、时变时滞和执行器故障等实际控制中经常遇到问题.利用线性矩阵不等式及Lyapunov-Krasovskii方法提出了一类非线性可靠性控制器的设计方法,使得系统在渐进稳定意义下不论执行器是在全部正常,还是部分失灵的情况都是稳定可靠的.The robust stability control of a class of fuzzy hyperbolic model is investigated. The system involves time-varying delay, parameter uncertainties and possible actuators failures, which are commonly encountered and the source of instability and deteriorates the performance of systems. Based on the linear matrix inequality （LMI） and Lypunov-Krasovskii approach, a method for designing a reliable controller is presented, which can render classed-loop system asymptotic stability whether the actuators operatswell or not. A sufficient condition for the existence of such a nonlinear feedback reliable controller is obtained and the expression of a desired reliable controller is given.

关 键 词：双曲正切模型 渐进稳定 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]