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Two Types Of H_ °ř Control Of Linear Time Delay System

Posted on:2009-04-11Degree:MasterType:Thesis
Country:ChinaCandidate:Y W TianFull Text:PDF
GTID:2208360245962757Subject:Operational Research and Cybernetics
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This paper mainly deals with the robust H_‚ąěcontrol problem for piecewise linear uncertain system with time-varying delays, and piecewise linear uncertain stochastic time-delay 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_‚ąěcontrol problem for uncertain continuous-time piecewise linear systems with time-varying 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_‚ąěnorm bound is obtained. Moreover, a state feedback controller is developed, which guarantees the robust stability with H_‚ąěnorm bound of closed-loop 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 non-convex 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_‚ąěcontrol for continuous-time piecewise linear stochastic systems with time-varying 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 delay-dependent robust stability condition with H_‚ąěnorm bound. Moreover, a state feedback controller is developed to guarantee the closed-loop system being robustly stable with H_‚ąěnorm 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 non-convex optimization problems.
Keywords/Search Tags:Piecewise linear time-varying delays systems, stochastic systems, state feedback, H_‚ąěcontrol, It(o|^)'s formula, linear matrix inequality, cone complementary linearization iterative algorithm
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