自适应事件驱动下T-S模糊系统的控制器设计

Adaptive Event- triggered Controller for T- S Fuzzy Systems

T-S模糊模型的实质是任何连续函数均可由一系列IF-THEN规则模糊逼近,因此它可用许多线性系统的分析方法研究,是非线性系统建模的重要工具,近年来,很多学者用T-S模糊模型研究非线性网络控制系统,为了节省有限的网络带宽资源,事件触发机制在网络控制系统的研究中得到了广泛的应用,这些研究成果具有重要的理论意义.然而,目前的结果中将事件触发机制用于T-S模糊系统的研究尚不成熟,基于自适应事件触发机制设计控制器尤其具有重要的意义.本文在事件触发机制的基础上介绍了自适应事件触发机制,并将其应用于控制器的设计,基于具有时滞的T-S模糊系统,提出了自适应事件驱动下的控制器设计新方案,在主要结果的证明中引用一种新Lyapunov-Krasovskii泛函和自由权矩阵,并应用Schur补引理等方法处理非线性矩阵不等式,然后通过求解线性矩阵不等式,设计了理想的控制器.最后,仿真验证了设计方案的有效性.

Due to that Takagi- Sugeno（ T- S） fuzzy model can approximate any continuous function by a series of the IF- THEN rules,so many traditional methods of linear system analysis are available for its research and it is one of the important tools of researching nonlinear uncertain systems. Therefore,NCSs have been widely investigated in T- S fuzzy model. In order to reduce the limited network resources,event- triggered scheme has been widely used in NCSs,which have important significance in theory. However,the current research about event- triggered scheme for T- S fuzzy system is not yet mature,how to design controller with adaptive event- triggered scheme is especially important. Based on event- triggered scheme,adaptive event- triggered scheme has been proposed,which is applied to the design of controller. Based on T- S fuzzy systems with time delay,an adaptive event- triggered controller is investigated. A general Lyapunov- Krasovskii functional and some slack matrices are used during the proof of main results. Schur complement lemma is used to deal with nonlinear matrix inequality,then by solving LMIs,the ideal controller are designed. Finally,the simulation verifies the validity of the proposed design.