摘要
针对具有时滞的Takagi-Sugeno(T-S)模糊广义系统,提出了设计鲁棒耗散控制器的新方法.利用矩阵分解理论,Lagrange插值多项式理论和规范化隶属函数的特性,给出了使闭环系统容许、严格耗散的充分性条件.利用线性矩阵不等式技术给出了时滞耗散控制器的设计方案.算例结果表明,所提出的耗散控制方法一体化了H∞控制和无源控制,使得在实际物理系统的控制过程中可节约成本和减少系统设计时间.
A new design approach of dissipative controller is proposed for a kind of Takagi-Sugeno（T-S） fuzzy descriptor system with time-delay.The sufficient conditions which make the closed-loop system be admissible and strictly dissipative are obtained by using theory of partitioned matrices,Lagrange interpolation polynomials and the properties of standard membership functions.A scheme to design the dissipative controllers with time-delay is given by using linear matrix inequalities（LMIs） technique.Furthermore,the proposed dissipative control approaches successfully unify the existing results on H∞ control and passive control.Thus it could potentially cut down the cost and time for control design of actual physical system.
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2012年第9期986-990,共5页
Transactions of Beijing Institute of Technology
基金
国家自然科学基金资助项目(60974004)
关键词
T-S模糊广义系统
时滞
耗散控制
线性矩阵不等式
T-S fuzzy descriptor system
time-delay
dissipative control
linear matrix inequality
