Two Categories Of Switched Systems With Delay Robust Control Problem,  Posted on:20120902  Degree:Master  Type:Thesis  Country:China  Candidate:H N Zheng  Full Text:PDF  GTID:2208330335458366  Subject:Operational Research and Cybernetics  Abstract/Summary:  PDF Full Text Request  In recent years, there has been growing interest in stability analysis and controller design for hybrid and switched systems. By a switched system, we mean a hybrid dynamical system consisting of a family of continuoustime or discretetime subsystems and a rule that orchestrates the switching among them. The motivation for studying hybrid and switched systems mainly comes from the fact that they provide a natural and convenient unified framework for mathematical modeling of many physical phenomena and practical applications. Typical examples include autonomous transmission systems, computer disc driver, room temperature control, power electronics, chaos generators. Therefore, we pay more important attention on Delaydependent l2lâˆžcontrol for uncertain discretetime switched systems with modedependent timevarying delays and Robust Hâˆžstabilization for uncertain switched impulsive control systems with state delay.1) Delaydependent l2â€”lâˆžcontrol for uncertain discretetime switched systems with modedependent timevarying delays:The parameter uncertainties are assumed to be timevarying but normbounded. The purpose is to construct a switched state feedback controller such that the resulting closedloop system is asymptotically stable while satisfying a prescribed l2â€”lâˆžperformance level irrespective of the parameter uncertainties and timevarying delays. By resorting to a recently developed finite sum inequality approach and using the linear matrix inequality(LMI) technique, delaydependent conditions for the solvability of the problem are developed.2)Robust Hâˆžstabilization for uncertain switched impulsive control systems with state delay:we mainly deal with the problem of robust Hâˆžstate feedback stabilization for uncertain switched linear systems with state delay. The system under consideration involves time delay in the state, parameter uncertainties and nonlinear uncertainties. The parameter uncertainties are normbounded timevarying uncertainties which enter all the state matrices. In addition, the impulsive behavior is introduced into the given switched system, which results a novel class of hybrid and switched systems called switched impulsive control systems. Using the switched Lyapunov function approach, some sufficient conditions are developed to ensure the globally robust asymptotic stability and robust Hâˆždisturbance attenuation performance in terms of certain linear matrix inequalities(LMIs). Finally, the effectiveness of the algorithms is illustrated with an example.  Keywords/Search Tags:  Discretetime switched systems, Modedependent timevarying delays, l2lâˆžcontrol, Switched linear systems, Impulse effects, Parameter uncertainties, H_âˆžstabilization  PDF Full Text Request  Related items 
 
