With Markov Jumping Parameters Of The Discrete Time Delay Systems Of Nonfragile Control  Posted on:20111120  Degree:Master  Type:Thesis  Country:China  Candidate:X Liu  Full Text:PDF  GTID:2208360302998963  Subject:Control theory and control engineering  Abstract/Summary:  PDF Full Text Request  Markovian jump linear systems have the advantage of better representing physical systems with abrupt variations. Therefore a lot of research has been focused on this class of systems. Time delays and parameter uncertainties always exist in manufacturing systems and telecommunication systems etc. They are frequently the sources of instability and performance degradation in many dynamic systems. On the other hand, fragility relates to the uncertainties in the implementation of a designed controller due to something wrong with hardware or software in practice. The resulting controllers with a certain degree of uncertainties will exhibit a poor performance margin. Thus the nonfragile control of discretetime Markovian jump linear systems with time delay have come to play an important role in science and engineering applications.This dissertation investigates the problems of robust and nonfragile stabilization, robust and nonfragile Hâˆžcontrol, nonfragile guaranteed cost control and Hâˆžguaranteed cost control for a class of discretetime Markovian jump linear systems with time delay based on Lyapunov stability theory, linear matrix inequality (LMI) and freeweightingmatrix approach. The uncertainties exist both in the controlled system and the gains of the controller. The purpose of the robust and nonfragile stabilization is to design a memory state feedback controller with a different delay such that the closedloop system is robust stochastically stable for all admissible normbounded uncertainties. As for the robust and nonfragile Hâˆžcontrol problem, in addition to the robust stochastic stability requirement, a prescribed Hâˆžperformance is required to be achieved. In the nonfragile guaranteed cost control problem, the controller guarantees the robust stochastic stability of the closedloop system and the upper bound of quadratic performance. Furthermore, the nonfragile Hâˆžguaranteed cost control problem is discussed. The closedloop system is robust stochastically stable, satisfies a prescribed Hâˆžperformance level and the given quadratic cost function has an upper bound for all admissible uncertainties. In terms of a set of coupled linear matrix inequalities, delaydependent sufficient conditions for the solvability of these problems are proposed respectively; the expressions of desired state feedback controllers are also given. Compared to existing literatures, these conditions have fewer variables and are easier to resolve. Numerical examples are provided to demonstrate the effectiveness of the proposed approaches.  Keywords/Search Tags:  discretetime systems with delays, Markovian jump parameters, robust and nonfragile control, H_âˆžcontrol, guaranteed cost control, delaydependent criterion, memory state feedback controller, linear matrix inequality  PDF Full Text Request  Related items 
 
