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TS Fuzzy Sliding Mode Control Of Generalized Semi-Markov Jump System

Posted on:2021-03-27Degree:MasterType:Thesis
Country:ChinaCandidate:X YangFull Text:PDF
GTID:2438330605463736Subject:Control theory and control engineering
Abstract/Summary:PDF Full Text Request
Singular system also known as singular system can be used to describe more performance characteristics of the system.It is widely used in power system,network system,economic system,etc.because of the failure of system components,the change of parameters and the sudden change of nonlinear system working point,many practical systems will cause unpredictable structural changes in the system.These changes can be used in Markov As described by the jump system,the residence time of Markov chain obeys the exponential distribution,and its transition probability is constant,which is conservative to some extent.The transition probability function of semi-Markov jump system is different from that of Markov jump system,which not only obeys exponential distribution,but also obeys Weber distribution and Gauss distribution.As a high performance robust control strategy,semi-Markov jump system is more widely used than Markov jump system because of its loose probability distribution.At the same time,the sliding mode control has the advantages of insensitive to parameter perturbation,fast response,strong robustness and good transient performance.T-S fuzzy system can approach some nonlinear functions with fewer rules,which is very suitable for establishing the approximate mathematical model of nonlinear system.However,according to the real system,time-delay is the main reason for the instability and poor performance of the dynamic system.Time-delay can be divided into two basic forms:real-time invariant time-delay and time-varying time-delay.This is a common phenomenon in the actual system,widely exists in the manufacturing system,economic system,and other actual dynamic systems.Therefore,it is necessary to study the problem of sliding mode control with time-varying delay.For this reason,this paper focuses on the stochastic stability analysis,sliding mode control,H_?non fragile observer,T-S fuzzy control and variable time delay of nonlinear generalized semi-Markov jump system under the framework of semi-Markov jump system.The paper mainly includes the following four chapters.In Chapter 1,the first chapter introduces the research background and significance of this topic,as well as the research status of semi-Markov jump system,generalized nonlinear system,T-S fuzzy system,sliding film variable structure control and observer design at home and abroad.In addition,the work and innovation of this paper are given.In Chapter 2,the problem of sliding mode control for T-S fuzzy nonlinear generalized semi-Markov jump system with time-varying delay is studied.A new fuzzy integral sliding mode control is proposed for the nonlinear generalized semi-Markov jump T-S fuzzy system with time-varying delay.Firstly,a fuzzy integral sliding surface function is constructed,and the sufficient conditions for the robust stochastic stability of the sliding mode dynamic system are given.Then,a fuzzy integral sliding mode control law is constructed,which can drive the trajectory of the dynamic system to the pre-designed fuzzy sliding mode surface in a finite time.Finally,an example is given to verify the effectiveness and superiority of this method.In Chapter 3,the sliding mode control of T-S fuzzy nonlinear generalized semi-Markov jump systems with time-varying delay based on H_? non fragile observer is studied.In this paper,a fuzzy integral sliding surface function is proposed,and a feasible LMI matrix inequality condition is established to ensure that the sliding mode dynamics and error system with general conversion rate can be stochastic stable at theH_?disturbance attenuation levelg.Furthermore,the sliding mode control is designed to ensure the finite time accessibility of the sliding surface.Finally,the effectiveness of the numerical results is verified by an example.In Chapter 4,we summarizes the problems of this paper,and looks forward to the future development direction.
Keywords/Search Tags:Nonlinear singular system, Semi-Markov jump system, Time-varying delay, Sliding mode control, T-S fuzzy system, H_? Observer
PDF Full Text Request
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