Asynchronous Output Regulation Of Switched Stochastic Time-Delay Systems Based On Passivity

The control problems of switched systems have powerful practical application background.This dissertation deals with problem of asynchronous output regulation for a class switched stochastic systems with time-delay based on passivity,which mainly includes the following works:Firstly,the exponential stabilization problem for a class of switched linear systems is discussed.The asynchronously switching rule is constructed via the average dwell time method.The asynchronously dynamic state time-delay feedback controllers are designed.Combining the free-weighting-matrix technique,which derives sufficient conditions guaranteeing that the corresponding closed-loop systems are exponentially stable.The conservatism of sufficient conditions is reduced by using the free-weighting-matrix approach in the proof.Secondly,asynchronous output regulation for a class of switched stochastic systems with time-varying delay based on passivity is researched.Construction stochastic LyapunovKrasovskii functionals are constructed,Jensen's integral inequality is employed to deal with the integral terms in the stochastic differentiation.State feedback controllers and error feedback controllers with time-varying delay are designed by the center manifold theory.It infers sufficient conditions guaranteeing the solvability of asynchronous output regulation for closed-loop systems based on passivity.At last,this dissertation focuses on asynchronous output regulation for a class of switched stochastic systems with time-varying delay based on a generalized passivity,where a more general kind of stochastic passivity is investigated further.Improved free-weightingmatrix approach and new Lyapunov-Krasovskii functionals are used to reduce conservatism.The full information feedback controllers and error feedback controllers with time-varying delay are designed which are respectively combined with exosystem to eliminate disturbance.Stochastic problem is solved by using It?o equation.Combining average dwell time method,free-weight-matrix technique and Jensen's integral inequality derives sufficient conditions which guarantee the solvability of asynchronous output regulation of the closed-loop systems based on the generalized stochastic passivity under asynchronous switching.