LMIbased Technique To Robust Control For Delay TS Fuzzy Descriptor Systems  Posted on:20170828  Degree:Master  Type:Thesis  Country:China  Candidate:A B Liu  Full Text:PDF  GTID:2348330518480460  Subject:Software engineering  Abstract/Summary:  PDF Full Text Request  The descriptor system is more general dynamic system than the normal system.TS fuzzy descriptor system with timedelay is developed from normal TS fuzzy system with timedelay combined with the descriptor system theory.It can accurately approximate a nonlinear descriptor system.It is an effective way to solve the control problem of nonlinear descriptor systems.Delays inevitably exist in many practical systems and frequently lead to instability and poor performance.So it has important theoretical significance and practical value for studying TS fuzzy descriptor systems with timedelay.In this paper,we discuss the following problems on robust control of TS fuzzy descriptor system with timedelay:Firstly,the passive control problem is studied for TS fuzzy descriptor systems with timedelay.A sufficient condition is given under which an observerbased controller is solvable.This can guarantee that the closedloop systems are admissible and strictly passive.Using the theory of matrix magnified,we express the sufficient condition as linear matrix inequality(LMI).Thus,the solution of passive controller can be obtained by solving the LMI.In the case of unknowing states,we solve the problem of passive control for a kind of nonlinear descriptor systems via TS fuzzy model and give its concrete algorithm.Secondly,the robust H_? control problem is investigated for a kind of nonlinear system via TS fuzzy descriptor systems.A sufficient condition is obtained under which an observerbased controller is existent for the nonlinear descriptor systems.Basis on the sufficient condition,by using the Lyapunov function method and matrix magnified theory,we express the condition as LMI,which can guarantee that the closedloop TS fuzzy descriptor systems with timedelay are admissible and hold the H_? performance to a prescribed disturbance attenuation level.It solves well the robust H_? control problem for nonlinear descriptor systems with timedelay,disturbance and the unknowing states and gives its concrete algorithm.Finally,the observerbased dissipative control problem is solved for a kind of nonlinear descriptor system via a TS fuzzy model.The observerbased dissipative controllers design method is presented for nonlinear descriptor systems and the ones with timedelay.A sufficient condition is obtained under which an observerbased controller is existent,which can guarantee that the closedloop TS fuzzy descriptor systems are admissible and strictly dissipative.Then the condition is expressed as LMI.A sufficient condition and its concrete algorithm are also given for the closedloop TS fuzzy descriptor systems with timedelay.The proposed method can well solve the dissipative control problem for a kind of nonlinear descriptor systems with timedelay,disturbance and the unknowing states.  Keywords/Search Tags:  TS fuzzy descriptor systems, timedelay, observer, dissipation control, passivity control, H_? control, linear matrix inequality(LMI)  PDF Full Text Request  Related items 
 
