Analysis And Design Of Robust Performance For Uncertain Timedelay Systems  Posted on:20101011  Degree:Master  Type:Thesis  Country:China  Candidate:Y F Wang  Full Text:PDF  GTID:2178360278961214  Subject:Computational Mathematics  Abstract/Summary:  PDF Full Text Request  The problem of robust control for uncertain timedelay systems is discussed in this dissertation. To begin with, a general situation of robust control and the Hâˆžtheory of timedelay systems are summarized. After that, according to several different uncertain systems with timedelay, the conditions for robust asymptotically stable and the robust state feedback controller design method are studied. It is as follows.In the first place,Considering the properties of uncertainty and timevarying delay, the robust guaranteed cost control problem for a class of uncertain linear systems is discussed. A sufficient condition of robust asymptotically stable is derived and performance is obtained via the linear matrix inequality approach. Thereby, the robust memoryless statefeedback controllers are given by proved and a supreme boundary of performance index is presented. Finally, a numerical example is presented to illustrate the efficiency of the obtained result. In addition,Based on the Lyapunov functional and linear matrix inequality methods, the robust control of timedelay systems with uncertainty and nonlinear perturbation is decentralized. Some statefeedback controllers are designed which guaranteed that the systems are robust asymptotically stable. All the results are given in the form of linear matrix inequalities so that they are easy to be resolved.At last,The problem of nonfragile Hâˆžcontrol is discussed for a class of complex multiple timedelay systems based on a method of linear matrix inequality (LMI).Two robust controllers are presented under additive and multiplicative perturbations of controller gain. Several sufficient conditions for the solvability of the nonfragile Hâˆžcontrol problem are given in terms of LMIs. Under action of the given controllers, the systems are asymptotically stable and satisfy Hâˆžperformance. Finally, a numerical example is provided to demonstrate the validity of the proposed design approach.  Keywords/Search Tags:  timedelay system, uncertainty, state feedback, guaranteed cost control, nonlinear perturbation, nonfragile Hâˆžrobust control, linear matrix inequality (LMI)  PDF Full Text Request  Related items 
 
