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State Feedback Control Of Singular Markovian Jump Systems With Distributed Delay

Posted on:2021-03-03Degree:MasterType:Thesis
Country:ChinaCandidate:Z T GuFull Text:PDF
GTID:2518306512989719Subject:Control theory and control engineering
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The singular Markovian jump system has always been one of the fundamental research branches in control system theory.On the basis of the existing studies,some research methods are improved.This paper discusses and studies a class of the singular Markovian jump systems with distributed delay,and some results are obtained.The main work and contributions of this dissertation are summarized as follows:Firstly,for a class of singular Markovian jump systems with distributed delay,the problems of stochastic admissibility and state feedback stability are studied.According to the characteristics of the model,a delay-dependent Lyapunov-Krasovskii functional is constructed,and the delay-dependent condition satisfying the stochastic admissibility of the studied system is obtained.Then,a state feedback controller is designed to satisfy the stabilization of the closed-loop system,and the corresponding gain matrix is obtained.The result is given by strictly finite LMI.A numerical example is provided to show the effectiveness of the designed state feedback controller.Secondly,the H_? control problem of a class of uncertain singular Markovian jump systems with distributed delay is studied.First of all,a Lyapunov-Krasovskii functional is constructed.By applying Jensen's inequality in the literature,the delay-dependent stability criterion is given in the form of LMI.Then,the variable substitution method is used to eliminate the coupling phenomenon in the inequality,and the existence conditions of the H_? stabilizability state feedback controller are obtained.The numerical simulation results show that the designed controller can guarantee the robust stability of the system.Thirdly,the problem of H_? finite time bounded analysis is investigated.By constructing a Lyapunov-Krasovskii functional with a more general form,the finite time stability criterion of the system is first obtained,and the delay-dependent H_? finite time bounded criterion is further obtained.On this basis,the state feedback controller of the system is designed,and it is proved that the state feedback controller with the corresponding gain matrix makes the closed-loop system H_? finite time bounded.The results are given by strict and finite linear matrix inequality(LMI).A numerical example is proved to show the effectiveness of the state feedback controller design method.
Keywords/Search Tags:singular Markovian jump system, distributed delay, state feedback control, H_? control, H_? finite time bounded control
PDF Full Text Request
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