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Research On Stability Analysis And Control Problem For Neutral Singular Systems

Posted on:2017-02-02Degree:DoctorType:Dissertation
Country:ChinaCandidate:J C WangFull Text:PDF
GTID:1368330572965459Subject:Control theory and control engineering
Abstract/Summary:PDF Full Text Request
The neutral systems contain state delay and derivative state delay,which can describe dynamic performances of many industrial processes more precisely.In the last decade,the analysis and control problems of the linear neutral systems have received considerable attentions by plenty of researchers.However,these are the conclusions of the system that the state derivative matrix is the unit matrix.To the best of our knowledge,few attentions have been given to neutral singular systems.To this end,based on the linear matrix inequalities(LMIs),this dissertation analyzes and studies the stability,dissipativity and passivity for neutral singular systems.The main results are summarized as follows:(1)The robust stability and stabilization problems for uncertain neutral systems are considered.A new stability criterion of the differential operator(?)by the final value theorem for Laplace Transform is proposed.By utilizing Lyapunov functional and free-weight matrix method,we employ the linear matrix inequality technique and the stability condition to derive some new criteria which ensure the robustly asymptotic stability of the considered systems.Non-fragile state feedback controllers are designed to guarantee the robustly asymptotic stability of the uncertain systems.In this dissertation,the stability of the differential operator is analyzed using the integral transform method.On the basis of the result,the performance of the singular neutral systems is analyzed.Different from the existing methods,this approach overcomes the constraint that both the derivative matrices and the derivative delayed matrices need to be decomposed into diagonal matrices simultaneously.And this could reduce the conservatism of the existing results.Numerical examples are provided to validate the effectiveness of the obtained results.(2)The problems of proportional-plus-derivative(PD)feedback H? control are discussed for the uncertain singular neutral systems.New effective criteria are introduced which make the systems stable and meet the H? performance by PD feedback controller.Different from the existing methods,the differential operator is not assumed to be stable and this study attempts to introduce the information between derivative matrices.Based on such an idea,the PD feedback controller for the singular neutral systems is firstly proposed,which makes the differential operator of the closed-loop system stable.Then the closed-loop singular neutral system is stable and has the specified H? performance index.The criteria are less conservative to some extent.Finally,numerical examples are given to demonstrate the effectiveness of the proposed approach.(3)The problems of output strictly passive control are considered for the uncertain singular neutral systems.By utilizing free-weight matrix method and employing the linear matrix inequality technique,the output strictly passive criterion and stability conditions are formulated.And the design method of the output strictly passive controller is given by these conditions.Compared with the previous approach,this criterion do not require the non-restrict inequality constraint,which makes the computation easy and convenient.(4)The problems of strictly dissipative analysis and control are studied for the singular neutral systems.By using the LMI technique,sufficient conditions are given to guarantee the singular neutral systems to be strictly dissipative,and the conditions of the strict LMIs are mainly derived.Then the state feedback dissipative control and observer-based controller are discussed by means of strict LMIs.Meanwhile the design method of the controller is presented.Numerical examples are proposed to illustrate the effectiveness.(5)The observer design problems are considered for the singular neutral systems.A condition is derived for state detectability of the singular neutral systems.We discuss the existent condition of the singular state observer and the normal state observer.The designs of these state observers are also given based on LMIs.Finally,a simulation example is given to demonstrate the effectiveness of the proposed approach.In this dissertation,we employ the complex linear matrix inequality technique to derive the design method of the observer for singular neutral system.This makes the results more general.
Keywords/Search Tags:singular neutral systems, observer, differential operator, passive control, state feedback, dissipative control, H_? control, linear matrix inequalities
PDF Full Text Request
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