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On Observability and Detectability of Continuous-Time Stochastic markov jump Systems

Journal of Systems Science & Complexity 2015年第4期28卷 830-847页

作者： TAN Cheng ZHANG Weihai School of Control Science and Engineering Shandong University College of Electrical Engineering and Automation Shandong University of Science and Technology

This paper mainly studies observability and detectability for continuous-time stochastic markov jump *** concepts called W-observability and W-detectability for such systems are introduced,which are shown to coincide with various notions of observability and detectability reported recently in literature,such as exact observability,exact detectability and ***,by introducing an accumulated energy function,some efficient criteria and interesting properties for both W-observability and W-detectability are obtained.

关键词： Continuous-time stochastic system detectability markov jump observability.

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A novel suboptimal algorithm for state estimation of markov jump linear systems

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控制理论与应用（英文版） 2011年第2期9卷 148-154页

作者： Liu, Wei Zhang, Huaguang Fu, Jie Wang, Zhanshan School of Information Science and Engineering Northeastern University Shenyang Liaoning 110004 China

This paper is concerned with state estimation problem for markov jump linear systems where the disturbances involved in the systems equations and measurement equations are assumed to be Gaussian noise *** on two properties of conditional expectation,orthogonal projective theorem is applied to the state estimation problem of the considered systems so that a novel suboptimal algorithm is *** novelty of the algorithm lies in using orthogonal projective theorem instead of Kalman filters to estimate the state.A numerical comparison of the algorithm with the interacting multiple model algorithm is given to illustrate the effectiveness of the proposed algorithm.

关键词： State estimation markov jump Linear systems Orthogonal projective theorem

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State Estimation of Discrete-Time markov jump Linear Systems in the Environment of Arbitrarily Correlated Noises

State Estimation of Discrete-Time Markov Jump Linear Systems...

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第三十届中国控制会议

作者： LIU Wei School of Electrical Engineering and Automation,Henan Polytechnic University,Jiaozuo 454000,P.R.China

＜正＞In this paper,the state estimation problem of discrete-time markov jump linear systems is considered where the noises influencing the systems are arbitrarily *** this,two algorithms of state estimate for the considered systems based on the estimation criterion of linear minimum mean-square error estimate are *** first algorithm is an optimal algorithm which can exactly calculate the linear minimum mean-square error estimate of system *** second algorithm is a suboptimal algorithm which is proposed to reduce the computation and storage load of the proposed optimal algorithm. Computer simulations are carried out to evaluate the performance of the proposed suboptimal algorithm.

关键词： State Estimation Discrete-Time markov jump Arbitrarily Correlated Noises

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Stability of markov jump Mix-valued Logical Networks

Stability of Markov Jump Mix-valued Logical Networks

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第37届中国控制会议

作者： Miao Jia Jun-e Feng Yongyuan Yu Biao Wang School of Mathematics Shandong University

This paper investigates the stability of markov jump mix-valued logical ***,a necessary and sufficient condition for global stochastic stability of the concerned networks is ***,a Lyapunov theorem is ***,the robust stability of the networks with uncertain transition probability matrices is concerned,and an equivalent condition for robust stability is *** last,numerical examples are shown to illustrate the effectiveness of the obtained results.

关键词： Lyapunov Function markov jump Mix-valued Logical Networks Robust Stability

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State Estimation of Discrete-Time markov jump Linear Systems Based on Linear Minimum Mean-Square Error Estimate

State Estimation of Discrete-Time Markov Jump Linear Systems...

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2010 Chinese Control and Decision Conference

作者： Wei Liu~1 1.School of Information Science and Engineering,Northeastern University,Shenyang,110004

＜正＞This paper considers state estimation problem for discrete-time markov jump linear *** this,two algorithm are *** first algorithm is an optimal algorithm of state estimation in the sense of linear minimum mean-square error estimate,which requires an ever-increasing computation and storage load with the length of the noise observation *** second algorithm is a suboptimal algorithm which is proposed to reduce the computation and storage load of the optimal algorithm.A numerical example is presented to evaluate the performance of the proposed suboptimal algorithm.

关键词： State Estimation Discrete-Time markov jump Linear Minimum Mean-Square Error Estimate

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Optimal Estimate and Intercepting Algorithm for State Estimation of Discrete-Time markov jump Linear Systems

Optimal Estimate and Intercepting Algorithm for State Estima...

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2010 Chinese Control and Decision Conference

作者： Wei Liu~1 1.School of Information Science and Engineering,Northeastern University,Shenyang,110004

＜正＞In this paper,the state estimation problem for discrete-time markov jump linear systems is *** this,two algorithms are *** first algorithm is an optimal algorithm for state estimate in the sense of minimum mean-square error *** second algorithm is a suboptimal algorithm,called intercepting algorithm,which is based on the approximation for the proposed optimal *** intercepting algorithm is finite-dimensionally computable, and does not require ever-increasing computation and storage load with the length of the noise observation sequence.A numerical example is given to demonstrate the performance of the intercepting algorithm.

关键词： State Estimation Intercepting Algorithm markov jump Linear Systems

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Stability of Neutral Type Descriptor markov jump Systems with Time-varying Delays

Stability of Neutral Type Descriptor Markov Jump Systems wit...

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第37届中国控制会议

作者： Ya Nan Wang Shui Ying Li Yue Chao Ma School of Science Yanshan University

This paper deals with the problem of stochastic stability of neutral type descriptor markov jump systems with time-varying *** Lyapunov-Krasovskii functional,model transformation and free-weighting matrix method,a delaydependent stability criterion is obtained in the form of linear matrix ***,a numerical example is presented to illustrate the effectiveness of the method.

关键词： neutral type descriptor systems stochastic stability markov jump delay-dependent free-weighting matrix linear matrix inequality

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State Estimation of Discrete-Time markov jump Linear Systems in the Environment of Arbitrarily Correlated Gaussian Noises

State Estimation of Discrete-Time Markov Jump Linear Systems...

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2011 Chinese Control and Decision Conference（CCDC）

作者： Wei Liu is with School of Electrical Engineering and Automation,Henan Polytechnic University,Jiaozuo 454000,China

This paper is concerned with the state estimation problem of discrete-time markov jump linear systems where the noises infiuencing the systems are assumed to be arbitrarily correlated Gaussian *** a result,two algorithms are *** first algorithm is an optimal algorithm of state estimate in the sense of minimum mean-square error estimate,which can exactly compute the minimum mean-square error estimate of systems state given an observation *** second algorithm is a suboptimal algorithm which is proposed to reduce the computation and storage load of the proposed optimal algorithm.A numerical example is given to evaluate the performance of the proposed suboptimal algorithm.

关键词： State estimation Discrete-time markov jump Arbitrarily correlated Gaussian noises

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Finite horizon H2/H∞ control for nonlinear markov jump systems

Finite horizon H2/H∞ control for nonlinear Markov jump syst...

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第32届中国控制与决策会议

作者： Lifan Kang Hou Ting College of Mathematics and Systems Science Shandong University of Science and Technology School of Mathematics and Statistics Shandong Normal University

This paper describes the problem of finite horizon H/H control for nonlinear stochastic markov jump systems governed by Ito-type equations with state,control and external disturbance dependent *** firstly derived nonlinear stochastic bounded real lemma and nonlinear optimal regular problem for the considered ***,it was showed that the finite horizon H/H control under consideration is associated with the four cross-coupled Hamilton-Jacobi equations.A sufficient condition and a necessary condition for the existence of the H/H controller were presented respectively.

关键词： Nonlinear stochastic systems Hamilton-Jacobi equation H2/H∞ control Finite horizon markov jump

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Energy Sharing and Frequency Regulation in Energy Network via Mixed H_(2)/H_(∞) Control with markovian jump

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CSEE Journal of Power and Energy Systems 2021年第6期7卷 1302-1311页

作者： Haochen Hua Yuchao Qin Zicheng He Liuying Li Junwei Cao the College of Energy and Electrical Engineering Hohai UniversityNanjing 211100China Beijing National Research Center for Information Science and Technology Tsinghua UniversityBeijing 100084China Institute of Information Technology Fudan UniversityShanghai 200433China International Automotive Research Centre WMGUniversity of WarwickCoventryCV47ALUK

In this paper,the problem of mixed optimization for energy sharing and frequency regulation in a typical energy network scenario where energy routers(ERs)interconnected AC microgrids(MGs)is ***-time markov chains are introduced to describe the switching paths in the power dynamics of *** that the modelling of considered energy network system could be closer to the real-world engineering *** parameter estimation techniques are integrated into the proposed method to achieve better modelling accuracy and controlling *** on the parameters of MG power dynamics,the mixed H_(2)/H_(∞) controllers are obtained via stochastic control *** feasibility and efficacy of the proposed approach are evaluated in numerical examples.

关键词： Energy network microgrids H_(2)/H_(∞)control markov jump

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