Passivity-based Output Regulation For Switched Stochastic Time-delay Systems With Different Coordinate Transformations

Due to the important theoretical value and application prospect,the output regulation problem of the switched systems has been paid more and more attention.Most of the existing research results are discussed in the case that all regulator equations have a common solution,which is too strict for the switched systems.This inspires this thesis to discuss the output regulation problem for two kinds of switched stochastic time-delay systems by constructing the different coordinate transformations without the requirement of a common solution for all regulator equations.In addition,the passive theory is an effective tool in dealing with system stability.In view of the close relationship between the output regulation problem and the stability,this thesis employs passive as a tool to solve the problem.The main works are summarized as follows:First,by means of the multiple Lyapunov functions approach,the output regulation problem for a class of switched stochastic systems with time-varying delays is studied associated with the switched exosystem based on strict output passivity via constructing the different common coordinate transformations.In order to reduce the conservatism,Chapter II introduces the double integral term and combine with the free weighted matrix method,designs full information feedback controllers and error feedback controllers,and gives the sufficient conditions for the solvability of the output regulation problem of the closed-loop systems based on the strict output passivity.Secondly,the output regulation problem of switched stochastic systems with interval time delays is researched via the average dwell time method based on a generalized passivity.Chapter III selects new piecewise L-K functionals,obtains sufficient conditions for the solvability of the output regulation problem by decomposing the integral interval by using integral inequality,and introducing the suitable free weighted matrix.Meanwhile,the design scheme of two kinds of feedback regulators and time dependent switching strategy are given.