Analysis And Control Of Networked T-S Fuzzy System With Imperfect Premise Matching

The Takagi-Sugeno(T-S)fuzzy model is a global model that uses the local linearization method to smooth the linear sub-models based on the fuzzy membership function.It can be used to approximate the nonlinear system with arbitrary precision,which has attracted much attention.In addition,the Networked Control Systems(NCSs)have a wide range of applications because of its advantages such as ease of wiring,easy installation and maintenance,simple operation,low cost,high efficiency and flexibility.The traditional T-S fuzzy system usually uses the parallel distributed compensation(PDC)method to carry on the controller design.However,in the practical industrial production environment,under the influence of network factors such as network-induced delay and packet loss,the networked T-S fuzzy systems are prevalent in terms of time delay and nonlinearity,which will lead to the PDC method become unavailable.In this paper,a networked T-S fuzzy model based on the imperfect premise matching condition is proposed.In the model aforementioned,the fuzzy controller shares different fuzzy premise with the studied system,which can make up the deficiency of PDC method,reduce the implementation difficulty of the controller and enhance the flexibility of the design method greatly.The main contents of this paper include the following four aspects:(1)For a class of T-S fuzzy systems,we have studied the problem of imperfect premise matching controller design under network environment.Firstly,a unified networked T-S fuzzy model framework with communication time delay is constructed.Then,based on the proposed system model,the stability criterion with low conservativeness is derived by applying Lyapunov functional and Wirtinger-based inequality.The network fuzzy controller is also given to enhance the design flexibility;(2)Considering the uncertainties caused by the system structure and parameters,we have studied the H_?filtering problem of networked Markovian jump T-S fuzzy systems.Firstly,a unified filtering-error system framework is established which contains the network-induced delay,packet loss and Markovian jump model.Then,a Markovian switching Lyapunov-Krasovskii functional is constructed to obtain the stability criterion and the imperfect premise matching filter design scheme of the fuzzy filtering-error system;(3)Considering the limited network communication resources,we have studied the control problem of the observer-based networked T-S fuzzy system under event-triggered communication strategy.Firstly,a unified event-triggered T-S fuzzy model is provided,in which a fuzzy observer with the imperfect premise matching condition is constructed to estimate the unmeasurable states of the studied system and a fuzzy controller is designed following the same premise as the observer.Then,a new observer and controller design method is given by the Lyapunov stability theory;(4)For the T-S fuzzy model of the active semi-vehicle suspension system,we have applied the decentralized theory to divide the studied system into the front and rear wheel subsystems.A decentralized event triggering transmission scheme is proposed to reduce the transmitted state information of the subsystems.Then,on this basis,we have studied the H_?control problem of the subsystems under the imperfect premise matching condition.