时滞Takagi-Sugeno模糊广义系统鲁棒耗散控制
Robust Dissipative Control for Takagi-Sugeno Fuzzy Descriptor System with Time-Delay
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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.Abstract: 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.
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