Filter Design For Interval Type-2 Fuzzy Systems

Due to the existence of nonlinear characteristics and uncertain factors in the practical system,it is difficult to design synthesis and theoretical analysis of the system filter.It is worth mentioning that interval type-2 fuzzy systems can effectively approximate nonlinear systems by using several linear subsystems.At the same time,it has the advantage of capturing the uncertain information in the system through the upper and lower membership functions,so it has attracted the attention of many scholars.In addition,in the field of control engineering,the internal state of some systems can not be measured directly,which leads to great difficulties in signal processing.Therefore,designing effective filters to solve the observation and estimation of system signals is a worthy research topic.In this paper,the problem of filter design for interval type-2 fuzzy systems is studied.The specific work is as follows:Firstly,based on discrete-time interval type-2 fuzzy systems,the filter design problem with mismatched premise variables is studied under the framework of adaptive eventtriggered strategy.The mismatch problem of filter and system information reception is solved by the premise variable reconstruction method.By using the delay interval division method and the piecewise function,the trigger node time and data transmission time are unified,and an adaptive trigger scheme with arctangent function is proposed,which effectively reduces the redundancy of transmission information.Secondly,under the condition of event-triggered scheme combined with quantizer,the problem of filter design for interval type-2 fuzzy systems with sensor network structure is considered.Based on the idea of dominant fuzzy rules,a switched non-fragile filter is proposed,which not only can effectively express the internal dynamic characteristics of the system,but also has certain anti-interference ability.The combination of traditional eventtriggered scheme and quantizer can effectively improve the efficiency of data transmission,reduce the filter update frequency and prolong the working time of filter.Finally,for the case of systems structure mutation and component damage,the problem of extended dissipative non-fragile filter design for interval type-2 fuzzy Markov jump systems under dynamic event-triggered framework is studied.The traditional event triggering strategy is extended to dynamic event triggering strategy.Unified mode-dependent/independent filter design model using hidden Markov model.By applying the mode-dependent Lyapunov function,combined with the extended reciprocally convex combination matrix scaling technique and the Writingger inequality,a sufficient condition for the asymptotic stability of the filtering error system is obtained.The practicability of the results is illustrated by a simulation example.