Dissipativity-based Output Regulation Problem For Classes Of Switched Stochastic Systems With Time-delay

The output regulation problem refers to achieve asymptotic tracking reference signals and asymptotic rejection of disturbance signals of the closed-loop system via designing the feedback regulators while maintaining its internal stability.Comparing with the convention-al problem of asymptotic tracking and disturbance rejection,the output regulation problem regards the reference signals and the disturbance signals procduced by the same exosystem.The information of signals produced by the exosystem is allowed not all available.Hence,the study of output regulation problenm shows the wide practical application value and chal-lenge.In addition,the control problem of switched stochastic systems with time-delay has important significance in theory research and practical application.The role of dissipativity theory in the study of many practical systems also can't be ignored.Although there have been a few articles involving the dissipative control of switched stochastic systems with time-delay,the results about the output regulation problem of switched stochastic systems under with time-delay dissipative performance have not been reported.This dissertation discusses the output regulation prolblem of switched stochastic sys-tems with time-varying delay based on dissipative performance.The main contributions are summarized as follows:Firstly,based on dissipativity theory,the output regulation problem for a class of switched stochastic systems with delayed state and external disturbance input is discussed under time-dependent switching strategies.Assume that every subsystem is solvable for the output regulation problem with dissipative performance.The influence on switched system from external disturbance input is analysed by dissipativity to reduce the conserva-tiveness of results instead of stability.Under full information feedback regulators and error feedback regulators,the piecewise Lyapunov-Krasovskii(L-K)functionals with respect to quadratic supply rate are presented via the average dwell time approach.By combining the free-weighting matrix method,Jensen's integral inequality,center manifold theory with linearization techniques,the less conservative delay-dependent conditions are established.Secondly,in view of the multiple Lyapunov function approach,the output regulation problem for a class of switched stochastic delayed systems is discussed without assuming solvability of any subsystem.For analyzing the trend of the output of switched system and the disturbance input from an exosystem,dissipativity is also chosen instead of sta-bility in this section.The chosen multiple supply rates are less restrictive than the united supply rate for switched systems.Under the case of full information and error feedback,sufficient conditions are established by structuring multiple L-K functionals with respect to multiple supply rates.Uniting the free-weighting matrix method and linearization tech-niques.the derivative lincarizable conditions propose the corresponcding regulator gains and state-dependent switching strategics.Finally,taking the effects of change in energy of switched systems fron the inactivated subsystems into consideration.the output regulation with dissipative control performance for a class of switched stochastic delayed systems is explored under dissipative perfor-mance.Each subsystem is dependent on the same state variables,so the change in energy of switched systems is relevant to every subsystem whether or not it is active.The piece-wise L-K functionals are structured with respect to multiple supply rates and cross supply rates.The cross supply rates are used to describe the effects of change in energy of switched systems from the inactive subsystem.By constraining supply rates and cross supply rates,sufficient conditions for the output regulation problem of systems to be solvable are es-tablished under any switching strategy.Meanwhile,the design of the corresponding full information feedback regulators and error feedback regulators are given.