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Iterative Learning Control for Discrete-time stochastic systems with Quantized Information

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IEEE/CAA Journal of Automatica Sinica 2016年第1期3卷 59-67页

作者： Dong Shen Yun Xu IEEE College of Information Science and Technology Beijing University of Chemical Technology

An iterative learning control (ILC) algorithm using quantized error information is given in this paper for both linear and nonlinear discrete-time systems with stochastic noises. A logarithmic quantizer is used to guarantee an adaptive improvement in tracking performance. A decreasing learning gain is introduced into the algorithm to suppress the effects of stochastic noises and quantization errors. The input sequence is proved to converge strictly to the optimal input under the given index. Illustrative simulations are given to verify the theoretical analysis. © 2014 Chinese Association of Automation.

关键词： Algorithms Digital control systems Discrete time control systems Iterative methods Learning algorithms stochastic control systems stochastic systems

Stabilization Control for Linear Switching stochastic systems Against Time-Delay in Communication Channel

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Journal of Harbin Institute of Technology(New Series) 2015年第5期22卷 110-115页

作者： Dongfang Lv Shen Cong School of Mechanical & Electrical Engineering Heilongjiang University

The paper is concerned with stabilization problem for a class of stochastic switching systems with time-delay in the detection of switching signal. By using binomial model,Poisson process,and Wiener process to describe time-delay, switching signal, and exogenous disturbance, respectively, the system under investigation is entirely set in a stochastic framework. The influence of the random time-delay is combined into reconstructing the switching signal of overall closed-loop system and changes the distribution property of switching points. Therefore,based on the asymptotical behaviors of Poisson processes and Wiener processes,the almost surely exponential stability conditions are established. Furthermore,a design methodology is posed for solving the stabilization control.

关键词： switching systems stochastic systems random switching almost sure stability stabilization

Viability decision of linear discrete-time stochastic systems with probability criterion

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控制理论与应用（英文版） 2009年第3期7卷 297-300页

作者： Wansheng TANG Jun ZHENG Jianxiong ZHANG Institute of systems Engineering Tianjin University Tianjin 300072 China

In this paper, the optimal viability decision problem of linear discrete-time stochastic systems with probability criterion is investigated. Under the condition of sequence-reachable discrete-time dynamic systems, the existence theorem of optimal viability strategy is given and the solving procedure of the optimal strategy is provided based on dynamic programming. A numerical example shows the effectiveness of the proposed methods.

关键词： stochastic systems Decision-making Probability criterion Dynamic programming

Fault Diagnosis for Singular stochastic systems

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Journal of Shanghai Jiaotong university(Science) 2011年第4期16卷 497-501页

作者：胡卓焕韩正之田作华 School of Electronic Information and Electrical EngineeringShanghai Jiaotong University

This paper studies the fault diagnosis of singular stochastic systems. The probability distribution of output is measured by probability density functions （PDFs）, which are modeled by a square root B-spline expansion. An adaptive nonlinear observer is proposed to estimate the size of the fault occurring in systems. ~rthermore, the linear matrix inequality （LMI） approach is applied to establish sufficient conditions for the existence of the observer. Finally, the simulation results are given to indicate the method for diagnosing the fault.

关键词： fault detection and diagnosis(FDD) probability density functions(PDFs) stochastic systems B-spline expansions linear matrix inequality(LMI)

Analytic solution to Indefinite Linear Quadratic Regulator for stochastic systems

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Analytic solution to Indefinite Linear Quadratic Regulator f...

第36届中国控制会议

作者： Hongxia Wang Yunbo Zhao Zhejiang University of Technology

ISBN: (纸本)9781538629185

This paper aims to deal with the indefinite linear quadratic regulator（ILQR） for stochastic systems. It provides both the analytic solution to the ILQR and the sufficient and necessary condition under which the ILQR is solvable. Different from the existed literature, we obtain the results in a novel way. In order to obtain a tighter necessary condition, we investigate the solution structure of a two-point boundary value problem for a stochastic differential equations directly but involve no complicated probabilistic derivation. Consider that there are close relationships between the linear game problem and H+∞ control and ILQR,the idea in the paper can also be extended to solve these problems.

关键词： linear quadratic regulator stochastic systems forward backword stochastic differential equations Riccati equation

Mean Square Exponential Stability of Uncertain Linear Impulsive stochastic systems with Markovian Switching

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Mean Square Exponential Stability of Uncertain Linear Impuls...

第25届中国控制与决策会议

作者： Wu-Hua Chen Chenghai Wei Xiaomei Lu College of Mathematics and Information Science Guangxi University Guangxi Key Laboratory of Power System Optimization and Energy Technology Guangxi University

ISBN: (纸本)9781467355339

This paper considers mean square exponential stability of uncertain linear impulsive systems with Markovian switching. By employing the method of time-varying Lyapunov functions, some new sufficient conditions for mean square exponential stability are established. The new stability conditions depend on both on the lower bound and the upper bound of impulse intervals. Numerical examples are provided to show the effectiveness of the proposed method.

关键词： Impulsive systems stochastic systems Markovian Switching Exponential Stability

Robust Finite-Time H_∞ Filtering for Itôstochastic systems

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Journal of Applied Mathematics and Physics 2016年第9期4卷 1705-1713页

作者： Aiqing Zhang College of Mathematics and Computer Science Jianghan University Wuhan China

This paper investigates the problem of robust finite-time H∞ filter design for Itô stochastic systems. Based on linear matrix inequalities (LMIS) techniques and stability theory of stochastic differential equations, stochastic Lyapunov function method is adopted to design a finite-time H∞ filter such that, for all admissible uncertainties, the filtering error system is stochastic finite-time stable (SFTS). A sufficient condition for the existence of a finite-time H∞ filter for the stochastic system under consideration is achieved in terms of LMIS. Moreover, the explicit expression of the desired filter parameters is given. A numerical example is provided to illustrate the effectiveness of the proposed method.

关键词： stochastic systems H∞ Filter Finite-Time Stability Linear Matrix Inequalities (LMIS)

Improved Stability Criteria for Uncertain stochastic systems with Time-Delay

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Improved Stability Criteria for Uncertain Stochastic Systems...

第三十届中国控制会议

作者： QIAN Wei~,LIU Juan~2,FEI Shumin~3 1.School of Electrical Engineering and Automation,Henan Polytechnic University,Jiaozuo 454000,P.R.China 2.Department of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,P.R.China 3.School of Automation,Southeast University,Nanjing 210096,P.R.China

＜正＞This paper is concerned with the asymptotical stability in mean square for uncertain stochastic time-delay system. Firstly,a new variable is defined,by which some slack matrices are introduced to reduce the conservatism of the ***, a proper Lyapunov-Krasovskii functional is constructed and its infinitesimal operator is calculated by Ito calculus rules and the statistic properties of the Brownian motion,and as a result the delay-dependent stability criteria are obtained via an LMI ***,numerical examples are given to illustrate the significant improvement on the conservativeness of the delay bound over some existing results.

关键词： stochastic systems Time delay Nonlinear uncertainty Robust stability Linear matrix inequality(LMI)

Stabilization of Networked stochastic systems Subject to Actuator Saturation

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Stabilization of Networked Stochastic Systems Subject to Act...

第二十六届中国控制会议

作者： Zhang Xiaomei1,Tang Hongji1,Lu Guoping2 1.School of Science,Nantong University,Nantong 226007,P.R.China2.College of Electrical Engineering,Nantong University,Nantong 226007,P.R.China

This paper deals with the problem of stabilization of networked stochastic systems subject to actuator *** networked control systems（NCSs） are modeled as stochastic systems with time-varying input delays under considering the networked-induced time delay.A delay-dependent sufficient condition for the mean-square stability of NCSs is derived by using Lyapunov-Krasovskii approach and a descriptor model *** associated solution of the problem can be obtained by solving a set of linear matrix inequalities that is numerically feasible with commercially available software.A simulation example is provided to demonstrate the effectiveness of the proposed method.

关键词： Networked control systems stochastic systems actuator saturation stabilization