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Robust fuzzy sliding mode control for the bio-economic singular stochastic markov jump system

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Robust fuzzy sliding mode control for the bio-economic singu...

第三十九届中国控制会议

作者： Ziyu Song Li Li College of Mathematics and Physics Bohai University

Throughout the paper,the sliding mode control of bio-economic fuzzy singular markov system is studied to make the biomass stability at low cost.First,a bio-economic singular system is established by taking the intrinsic growth rate of immature species as a markov chain,and describing the system with a Takagi-Sugeno（T-S） fuzzy model.Hereafter,an suitable sliding mode surface is proposed,and the stochastic admissibility of the fuzzy singular markov jumping system based on the integral sliding mode surface can be ensured by a set of sufficient conditions.Immediately,the SMC law is proposed to make the sliding surface meet the accessibility condition.At last,the effectiveness of the proposed method is verified by two examples of eel seedling breeding.

关键词： Bio-economic singular system T-S fuzzy model sliding mode control markov jump system

Stochastic Stability of Discrete Time Positive markov jump Nonlinear systems

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系统科学与复杂性学报:英文版 2023年第5期36卷 1949-1960页

作者： ZHAO Ping ZHAO Yan SONG Xinmin NIU Ben School of Information Science and Engineering Shandong Normal UniversityJinan 250358China School of Mathematical Sciences University of JinanJinan 250022China

This paper investigates the stochastic stability of discrete time positive markov jump nonlinear systems(PMJNS).Some definitions on stochastic stability for discrete time PMJNS are introduced first.Then,using the multiply max-separable Lyapunov function method,some stochastic stability criterions of discrete time PMJNS are provided,and some corresponding criterions are also provided for discrete time positive markov jump linear systems(PMJLS).Different from previous conclusions that require subsystems to be stable or marginally stable,the obtained results allow some subsystems to be unstable.Based on the proposed criterions,the stochastic stability behavior of discrete time positive markov jump systems can be obtained just from the algebraic properties of the system function and the probability characteristics of the markov chain.To illustrate the main results,two simulation examples are provided at the end.

关键词： markov jump system nonlinear system positive system stochastic stability

Finite-time H_(∞) filtering for markov jump systems with uniform quantization

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Chinese Physics B 2023年第11期32卷 279-289页

作者：董敬敬马晓峰张晓庆周建平王震 School of Computer Science&Technology Anhui University of TechnologyMa’anshan 243032China College of Mathematics&systems Science Shandong University of Science and TechnologyQingdao 266590China

This paper is concerned with finite-time H_(∞) filtering for markov jump systems with uniform quantization. The objective is to design quantized mode-dependent filters to ensure that the filtering error system is not only mean-square finite-time bounded but also has a prescribed finite-time H_(∞) performance. First, the case where the switching modes of the filter align with those of the MJS is considered. A numerically tractable filter design approach is proposed utilizing a mode-dependent Lyapunov function, Schur’s complement, and Dynkin’s formula. Then, the study is extended to a scenario where the switching modes of the filter can differ from those of the MJS. To address this situation, a mode-mismatched filter design approach is developed by leveraging a hidden markov model to describe the asynchronous mode switching and the double expectation formula. Finally, a spring system model subject to a markov chain is employed to validate the effectiveness of the quantized filter design approaches.

关键词： markov jump system filter design finite-time H∞performance uniform quantization

Security Control for Uncertain Networked Control systems under DoS Attacks and Fading Channels

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Journal of Beijing Institute of Technology 2022年第4期31卷 422-430页

作者： Chengzhen Gao Cheng Tan Hongtao Sun Mingyue Xiang School of Engineering Qufu Normal UniversityRizhao 276800China

This paper characterizes the joint effects of plant uncertainty,Denial-of-Service(DoS)attacks,and fading channel on the stabilization problem of networked control systems(NCSs).It is assumed that the controller remotely controls the plant and the control input is transmitted over a fading channel.Meanwhile,considering the sustained attack cycle and frequency of DoS attacks are random,the packet-loss caused by DoS attacks is modelled by a markov process.The sampled-data NCS is transformed into a stochastic form with markov jump and uncertain parameter.Then,based on Lyapunov functional method,linear matrix inequality(LMI)-based sufficient conditions are presented to ensure the stability of uncertain NCSs.The main contribution of this article lies in the construction of NCSs based on DoS attacks into markov jump system(MJS)and the joint consideration of fading channel and plant uncertainty.

关键词： networked control systems Denial-of-Service(DoS)attacks uncertainty fading channels markov jump system

From markov jump systems to Two Species Competitive Lotka-Volterra Equations with Diffusion

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Acta Mathematica Sinica,English Series 2009年第1期25卷 157-170页

作者： Xue Qiang WANG Li Jun BO Yong Jin WANG School of Mathematical Sciences and LPMC Nankai University Tianjin 300071 P. R. China Department of Mathematics Xidian University Xi'an 710071 P. R. China

In this paper, we start at a random evolution system on biological particles, which is described by a markov jump system. Under a suitable scaling, we perform a proper approximation procedure. Then the so-called weak convergence of markov processes and Martingales allow us to establish a （deterministic） two species competitive Lotka-Volterra equation.

关键词： markov jump system competitive Lotka-Volterra equation weak convergence

L2-L∞Analysis and Control to markov jump systems with Multiplicative Noise

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L2-L∞Analysis and Control to Markov Jump Systems with Multi...

第三十届中国控制会议

作者： LIU Xiaona~1,WU Ai-Guo~1,DUAN Guang-Ren~(1,2) 1.Harbin Institute of Technology Shenzhen Graduate School,Shenzhen 518055,P.R.China 2.Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001,P.R.China

In this paper,the L-Lcontrol problem for a class of markov jump systems with multiplicative noise was studied.A sufficient condition for the stochastic nonlinear markov jump system to be asymptotically mean-square stable with a L-Lperformance gain 7 is established in terms of Hamilton Jacabo inequalities(HJI).Based on the proposed sufficient condition,a state feedback controller is designed such that the closed-loop system satisfies the prescribed L-Lperformance level.This paper also gives a sufficient condition for a linear markov jump system to be asymptotically mean-square stable with prescribed L-Lperformance by means of linear matrix inequalities(LMI).A method to design a state feedback controller is established.An example is given to illustrate the effectiveness of the proposed method.

关键词： L2—L∞ Performance markov jump system Hamilton Jacobi inequality LMI

Event-triggered control design for discrete-time saturating markov jump systems with quantization

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Event-triggered control design for discrete-time saturating ...

第32届中国控制与决策会议

作者： Peng Yang Xinzhou Liu Hongchao Li Jiao Liu School of Artificial Intelligence Hebei University of Technology Control Engineering Technology Research Center of Hebei Province

In this paper,the control design for discrete-time saturating markov jump system with quantization under event-triggered strategy is concerned.Due to the physical constraint,actuator saturation exists in practical systems generally which may effect the system performance.With ensuring the stochastic stabilizability,event-triggered strategy is introduced in the markov jump system to reduce communication burden.Sufficient conditions for stochastic stabilization of the saturating systems with partially known transition probabilities and quantization are inferred by linear matrix inequality formulation.To obtain the biggest domain of attraction in mean square sense,an optimization algorithm is proposed.Finally,the numerical example is provided to illustrate the effectiveness of the given method.

关键词： markov jump system Event-triggered strategy Actuator saturation Quantization

Synthesis for discrete-time markov jump systems with event triggered strategy

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Synthesis for discrete-time Markov jump systems with event t...

第37届中国控制会议

作者： Hongchao Li Xinzhou Liu Peng Yang Jiao Liu Jie Wang School of Control Science and Engineering Hebei University of Technology

In this paper, the stochastic stabilization problem for discrete-time markov jump system with event triggered strategy is investigated. Under the premise of ensuring stochastic stabilizability, event triggered strategy is introduced in the markov jump system to save communication resources. Sufficient conditions for stochastic stabilization of the underlying systems with completely known and partially known transition probabilities are inferred by linear matrix inequality formulation, respectively.Moreover, the mode-dependent controllers under event-triggered strategy could be designed according to the proposed conditions.Finally, numerical examples are provided to illustrate the effectiveness of the given results.

关键词： markov jump system Event triggered strategy Partially unknown transition probabilities

Stability Analysis for markov jump Lur’e systems with Time-varying Delays

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Stability Analysis for Markov Jump Lur’e systems with Time-...

第37届中国控制会议

作者： Wenyong Duan Yan Li Cuifeng Shen Xuelai Zhu Xiaofan Li School of Electrical Engineering YanCheng Institute of Technology Dean's Office Yancheng Biological Engineering Higher Vocational Technology School

In this paper,we focus on the problem of the stochastic stability for the time-delayed markov jump Lur’e system.By using a improved relaxed integral inequality technologies,new delay-dependent stochastic stability criteria are proposed via Lyapunov-Krasovskii functional（LKF） approach.The stability conditions can be expressed as convex linear matrix inequality（LMI） framework,which can be solved by using standard LMI convex optimization solvers.Finally,a numerical example is presented to show the effectiveness of the proposed approach.

关键词： Lur’e systems markov jump system Neutral system Robust stability