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Exponentially Dissipative Control Of Markov Jump Systems

Posted on:2019-04-27Degree:MasterType:Thesis
Country:ChinaCandidate:X Y ZhangFull Text:PDF
GTID:2428330545960668Subject:Operational Research and Cybernetics
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Markovian jump system(MJS)is an important class of stochastic hybrid systems.Many practical systems may experience random abrupt changes in their structures and parameters.These systems are usually modeled as Markovian jump systems.Recently,the applications of this class of systems can be found extensively in control engineering systems,robot systems,ecological systems,economy systems and other areas.In this paper,we study the exponentially dissipative control of Markovian jump systems.The main contents are as follows:1.We investigated the exponentially dissipative control and exponentially passive control of singular Markovian jump systems with mixed time-varying delays.Firstly,we obtain the sufficient conditions of the exponential dissipativity by applying the delay partition technique.Then we design ?2-?? filter for the systems.Finally,we also study the systems with uncertain parameters.2.We study the stochastic stability and exponentially dissipative control of nonlinear Markovian jump systems.Firstly,the sufficient conditions of the the stochastic stability and exponential dissipativity are obtained by using the Lyapunov functional method and LMI approach.Then the state feedback controller is designed,which guarantees the closed-loop system to be exponentially dissipative.Finally,the systems with uncertain parameters is also be studied.3.We study the exponentially dissipative control of Markovian jump systems with partially unknown transition rates.Firstly,the situation of partially unknown transition rates is introduced.Then the sufficient conditions of the exponential dissipativity and exponential passivity are obtained by using the Lyapunov functional method and LMI approach.Finally.numerical examples are provided to illustrate the effectiveness of the obtained results.
Keywords/Search Tags:Markovian jump systems, stochastic stability, exponential dissipativity, exponential passivity, l2-l? filter, state feedback controller
PDF Full Text Request
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