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Sample-Based Potentials Estimation for the Optimal Control of stochastic system

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Sample-Based Potentials Estimation for the Optimal Control o...

第三十届中国控制会议

作者： CHENG Kang,ZHANG Kanjian,FEI Shumin,LIU Xiao-Mei School of Automation,Southeast University,Nanjing 210096,P.R.China

An optimization method based on perturbation analysis is applied to stochastic system.A policy iteration approach is designed by the performance sensitivity formula which is constructed with *** estimating the potentials,the Poisson equation is viewed as a system of linear equation,then a least squares policy evaluation method is adopted,and the selection of basis function is also discussed for getting a better performance of *** simulation shows the effectiveness of the policy iteration and the approximation approach.

关键词： stochastic system Potentials Markov Decision Processes Policy Iteration Basis Function

Delay-Interval-Dependent Robust Stabilization for Uncertain stochastic system with Multiple Time-Delays

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Delay-Interval-Dependent Robust Stabilization for Uncertain ...

第26届中国控制与决策会议

作者： Huihui Zhang Jianwei Xia School of Mathematics Science Liaocheng University

In this academic brief, robust stochastic stability and stabilization for a category of uncertain stochastic systems with multiple time-delays as importantly issues are investigated. Via constructed multiple-interval-dependent Lyapunov-Krasovskii functional, more information between the delays have been considered, some novel criteria for the solvability of above issues are derived defined as LMIs. At last, testifying the effectiveness and improvement of our suggested method by way of illustration.

关键词： stochastic system Robust stochastic Stabilization Multiple Time-delays

stochastic Dynamic Delay Output Feedback Stabilization and H∞ Control for stochastic system

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Stochastic Dynamic Delay Output Feedback Stabilization and H...

第三十届中国控制会议

作者： CHEN Guici~(1,2),SHEN Yi~2 1.College of Science,Wuhan University of Science and Technology,Wuhan 430081,P.R.China 2.Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,P.R.China

This paper deals with the problems of stochastic dynamic delay output feedback(SDDOF) stabilization and H control for stochastic *** stochastic system state is without time delay and is not available *** aim is the design of a full order SDDOF controller ensuring exponential mean-square stable and a prescribed H performance level for the resulting closed-loop *** sufficient conditions of stochastic stabilization and H control for the existence of SDDOF controller are obtained and the expression of the desired controller is given in the form of matrix ***, an illustrate numerical example with simulation is given to demonstrate the applicability of the proposed design approach.

关键词： stochastic system Time Delay stochastic Dynamic Output Feedback H∞Control

A new approach to robust H∞ control for stochastic system with interval time delay

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A new approach to robust H∞ control for stochastic system w...

第36届中国控制会议

作者： Yakun Su Wenshu Xu College of Mathematics and Physics Bohai University

This paper studies the problem of robust H∞ control for uncertain stochastic system with time-varying *** time delay is assumed to be of interval type. By constructing a new stochastic Lyapunov-Krasovskii functional, It ?o’s formula and introducing free weighting matrix, sufficient conditions for delay-dependent robust H∞ control is *** presented formulation is in the framework of linear matrix inequality and thus can be carried out ***, one numerical example is given to illustrate the effectiveness of the proposed approach.

关键词： H∞ control stochastic system Interval time-delay Stability Linear Matrix Inequality(LMI)

Optimal Parto Control of stochastic system with Multiplicative Noises and Markovian Jumping

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Optimal Parto Control of Stochastic System with Multiplicati...

第二十九届中国控制会议

作者： KONG Shulan1,ZHANG Huanshui2 1.School of Mathematics Science,Qufu Normal University,Qufu 273165,P.R.China2.School of Control Science and Engineering,Shandong University,Jinan 250061,P.R.China

In this paper,a Parto optimization problem of N players in stochastic system is copied *** optimal Parto solution of the stochastic system with multiplicative white noises and Markovian jumping is presented in infinite time horizon.A complete analytical optimal controller is obtained by using the generalized Lyapunov equation approach and solving a generalized algebraic Riccati *** is proved that the controller is a stabilizable feedback control and the solution of the generalized algebraic Riccati equation corresponding to the feedback gain of the optimal control is minimal.

关键词： Parto Solution stochastic system Markovian Jumping

Multiple Models Direct Adaptive Controller for a stochastic Non-minimum Phase system

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Journal of Shanghai Jiaotong university(Science) 2010年第5期15卷 578-586页

作者：郑益慧王昕李少远姜建国 Center of Electrical and Electronic Technology Shanghai Jiaotong University Department of Automation Shanghai Jiaotong University Department of Electrical Engineering Shanghai Jiaotong University

For a stochastic non-minimum phase multivariable system,a multiple models direct adaptive controller is *** is composed of multiple fixed models with two adaptive *** fixed models are used to cover the region where the system parameters jump and improve the transient response,while another two adaptive models are used to guarantee the *** generalized minimum variance design method,it adopts the stochastic system estimation algorithm with optimal controller design method to identify the controller parameter ***,the global convergence is *** simulation proves the effectives of the controller proposed.

关键词： multiple models stochastic system non-minimum phase direct adaptive control multivariable system

Delay-dependent Stabilization for stochastic Time-varying Delay system with Nonlinear Disturbances

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Delay-dependent Stabilization for Stochastic Time-varying De...

第二十九届中国控制会议

作者： XIA Meng,DUAN Guangren,HOU Mingzhe Harbin Institute of Technology,Harbin 150001,P.R.China

This paper studies the problem of control synthesis for a class of stochastic time-delay system with nonlinear *** time delay that appears in both the states and nonlinear disturbances is considered to be time-varying and has lower and upper *** purpose of the addressed stochastic stabilization problem with nonlinear disturbances is to obtain the stability conditions for the open-loop system and design the memoryless state feedback controller for the closed-loop *** stability criteria is derived using Ito?’s differential formula and the Lyapunov stability theory.

关键词： stochastic system Nonlinear disturbances Linear matrix inequality Delay-range-dependent approach

New criteria on delayed state feedback stabilization for stochastic systems with time-varying delay

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Journal of systems Engineering and Electronics 2013年第3期24卷 519-527页

作者： Shiguo Peng School of Automation Guangdong University of Technology

The problems of robust exponential stability in mean square and delayed state feedback stabilization for uncertain stochastic systems with time-varying delay are studied. By using Jensen＇s integral inequality and combining with the free weighting matrix approach, new delay-dependent stability conditions and delayed state feedback stabilization criteria are obtained in terms of linear matrix inequalities. Meanwhile, the proposed delayed state feedback stabilization criteria are more convenient in application than the existing ones since fewer tuning parameters are involved. Numerical examples are given to illustrate the effectiveness of the proposed methods.

关键词： stochastic system time-varying delay delay-depen- dent exponential stability delayed state feedback stabilization.

State estimate for stochastic systems with dual unknown interference inputs

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Chinese Journal of Aeronautics 2020年第9期33卷 2395-2407页

作者： Xiaoxue FENG Shuhui LI Feng PAN School of Automation Beijing Institute of TechnologyBeijing 100081China Kunming-BIT Industry Technology Research Institute INC Kunming 650106China

stochastic system state estimation subject to the unknown interference input widely exists in many fields,such as the control,communication,signal processing,and fault ***,the research results are mostly limited to the stochastic system in which only the dynamic state model or the measurement model concerns the individual unknown interference input,and the state model and the measurement model are both with the same unknown interference *** estimate of the stochastic systems where the state model and the measurement model contain dual Unknown Interference inputs(dual-UI)with different physical meanings and mathematical definitions is concerned ***,the decoupling condition with the Unknown Interference input in the State model(S-UI)is shown,which introduces the decoupled system with the adjacent Measurement concerned Unknown Interference inputs(M-UI)appearing in the state model and the measurement ***,through defining the Differential term of the adjacent M-UI(M-UID),the equivalent system with only M-UID in the state model is ***,considering the design freedom of the equivalent system,the decoupling filter in the minimum mean square error sense and the adaptive minimum upper filter with different applicable conditions are represented to obtain the optimal and sub-optimal state estimate,*** simulation cases verify the effectiveness and superiority compared with the traditional methods.

关键词： Adaptive filter Decoupling filter State estimate stochastic system Unknown interference input