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Optimal Switched Law Of Switched Linear Systems

Posted on:2006-05-07Degree:DoctorType:Dissertation
Country:ChinaCandidate:J S LiFull Text:PDF
GTID:1118360185977811Subject:Pattern Recognition and Intelligent Control
Abstract/Summary:PDF Full Text Request
Hybrid systems are a class of complex system containing dynamic process and discrete event process, which approach engineering practice and are applied widely.Switched systems, which are special hybrid system, have been successfully applied in many fields and paid for universal attention.Stability is the first issue in analyzing system. In the dissertation, stability ofswitched systems is firstly discussed comprehensively and deeply, and some conclusions about linear switched systems and non-linear switched systems are gained.On the assumption that it is stable, the optimal switched law of linear switched system is presented and discussed and the design method for the optimal switched law is given.Stability of switched system can be estimated by matrix pencil. The matrix pencil of second-order linear switched system is analyzed; some conclusions about trace, determinant and eigenvalue of matrix pencil are gained; a sort of algebra criterion for system stability is given. Simulation experiments about stability of equal-time switched system are carried out.A method of spectral radius is given to evaluate the asymptotical stabilization of linear switched system. By computing the spectral radius of matrix exponent, it is very easy to evaluate the asymptotical stabilization.Because of complexity of nonlinear systems, only some special nonlinear systems can be studied. A class of nonlinear switched circulant systems is considered in the dissertation, and its stability region is designed under certain switched law or arbitrary switched law separately.The stable linear switched systems will converge to the balance point. If different switched laws be chosen, the convergence process will not be the same, so there is an optimal switched law.The issues of optimal switched law based on norm, convergence radius, convergence distance and convergence direction are respectively studied, and the optimal switched law is confirmed by solution of matrix equation.All kinds of instance have been considered synthetically, the synthetical optimal...
Keywords/Search Tags:hybrid systems, switched systems, switched circulant systems, stability, matrix pencil, spectral radius, switched law, simulation
PDF Full Text Request
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