Two Types Of H_ ¡Þ Control Of Linear Time Delay System  Posted on:20090411  Degree:Master  Type:Thesis  Country:China  Candidate:Y W Tian  Full Text:PDF  GTID:2208360245962757  Subject:Operational Research and Cybernetics  Abstract/Summary:  PDF Full Text Request  This paper mainly deals with the robust H_âˆžcontrol problem for piecewise linear uncertain system with timevarying delays, and piecewise linear uncertain stochastic timedelay system. The main results can be listed as follows:In Chapter 1, we introduce the development background of the issues under consideration. The main work of this paper and the used notations are provided.In chapter 2, the robust H_âˆžcontrol problem for uncertain continuoustime piecewise linear systems with timevarying delays is investigated. The uncertainties of the system under consideration are expressed in a linear fractional form. By using piecewise continuous Lyapunov function, a sufficient condition on robust stability with H_âˆžnorm bound is obtained. Moreover, a state feedback controller is developed, which guarantees the robust stability with H_âˆžnorm bound of closedloop system. Aiming at the nonlinear terms and the equality constraints about the unknown variables in the sufficient conditions, we utilize the cone complementary linearization technique and convert the solving problems for controllers to the nonconvex optimization problems. And then the cone complementarity linearization iterative algorithms are proposed to design the desired controllers. Finally a numerical example is given to illustrate the application of the proposed approach.Chapter 3 is devoted to the problem of robust H_âˆžcontrol for continuoustime piecewise linear stochastic systems with timevarying delays by using piecewise continuous Lyapunov function. The uncertainties of the systems under consideration are expressed in a linear fractional form. By resorting to It(o^)'s formula, a strict linear matrix inequality approach is developed to obtain delaydependent robust stability condition with H_âˆžnorm bound. Moreover, a state feedback controller is developed to guarantee the closedloop system being robustly stable with H_âˆžnorm bound. Aiming at the nonlinear terms and the equality constraints about the unknown variables in the sufficient conditions, we utilize the cone complementary linearization technique and convert the solving problems for controllers to the nonconvex optimization problems.  Keywords/Search Tags:  Piecewise linear timevarying delays systems, stochastic systems, state feedback, H_âˆžcontrol, It(o^)'s formula, linear matrix inequality, cone complementary linearization iterative algorithm  PDF Full Text Request  Related items 
 
