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Bumpless transfer fault detection for switched systems: a state-dependent switching approach

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Science China(Information Sciences) 2021年第7期64卷 117-131页

作者： guangdeng zong Chunxiao HUANG Dong YANG School of Engineering Qufu Normal University

This paper focuses on the bumpless transfer fault detection problem for switched systems under state-dependent switching. The goal is to find an effective constraint on filters and an appropriate switching signal to reduce the bumps of residual signals caused by switching while achieving expected fault sensitivity and robustness of the filtering systems. For transient behavior description, a novel bumpless transfer constraint is proposed to limit the amplitude of residual signals into a bounded range at the switching points. In terms of multiple Lyapunov functions, a state-dependent switching law is designed to realize fault detection performance even if the robustness and fault sensitivity of each subsystem are local. Sufficient conditions for the bumpless transfer fault detection problem are provided in the form of linear matrix inequalities. Finally,a numerical example is given to validate the effectiveness of the developed method.

关键词： bumpless transfer fault detection multiple Lyapunov functions state-dependent switching law switched systems

Input-to-State Stability of Switched Nonlinear Delay Systems Based on a Novel Lyapunov-Krasovskii Functional Method

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Journal of Systems Science & Complexity 2018年第4期31卷 875-888页

作者： zong guangdeng ZHAO Haijuan School of Engineering Qufu Normal University

In this paper, the input-to-state stability （ISS） analysis is addressed for switched nonlinear delay systems. By introducing a novel Lyapunov-Krasovskii functional with indefinite derivative and the merging switching signal techniques, some new- criteria are established for switched nonlinear delay systems under asynchronous switching, which extends the existing results to the nonlinear systems with switching rules and delays. The ISS problem is also considered under synchronous switching for switched nonlinear systems by employing the similar techniques. Finally, a nonlinear delay model is provided to show the effectiveness of the proposed results.

关键词： Asynchronous switching average dwell time input-to-state stability Lyapunov-Krasovskii functional switched delay system.

Composite anti-disturbance resilient control for Markovian jump nonlinear systems with general uncertain transition rate

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Science China(Information Sciences) 2019年第2期62卷 101-118页

作者： guangdeng zong Yankai LI Haibin SUN School of Engineering Qufu Normal University

In this paper, the issue of disturbance observer based resilient control is addressed for Markovian jump nonlinear systems with multiple disturbances and general uncertain transition rates. The disturbances are divided into two parts: one has a bounded H2 norm, and the other is given by an exogenous system. The general uncertain transition rate matrix is composed of unknown elements and uncertain ones. The uncertain transition rate only has a known approximate range. First, the disturbance described by the exogenous system is estimated by a disturbance observer, and its estimation is used for the controller as feedforward compensation. Subsequently, by using the resilient control method, a composite anti-disturbance resilient controller is constructed to guarantee stochastic stability with L2-L∞performance of the closed-loop systems. Subsequently, the Lyapunov stability method and linear matrix inequality technique are applied to obtain the controller gain. Finally, an application example is provided to illustrate the effectiveness of the proposed approach.

关键词： composite anti-disturbance control resilient controller Markovian jump nonlinear systems general uncertain transition probabilities multiple disturbances L2-L∞ performance

Exponential stability for positive Markovian jump systems with switching transition rates subject to average dwell time approach 36

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Exponential stability for positive Markovian jump systems wi...

第36届中国控制会议

作者： Wenhai Qi guangdeng zong Department of Automation Qufu Normal University

ISBN: (纸本)9781538629185

The paper deals with the problem of exponential stability for positive Markovian jump systems with switching transition rates subject to average dwell time approach. Another set of useful regime-switching models has been given for an extension of fixed transition rate to combine time-varying transition rates. By resorting to the multiple linear co-positive Lyapunov function and average dwell time, sufficient conditions for exponential stability of the underlying system are proposed in linear programming. Finally, a numerical example is given to demonstrate the validity of the main results.

关键词： positive Markovian jump systems average dwell time exponential stability linear programming

Robust exponential stability of uncertain discretetime impulsive switching systems with state delay

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控制理论与应用（英文版） 2007年第4期5卷 351-356页

作者： guangdeng zong Yuqiang WU Baoyong ZHANG Yangyang KONG School of Automation Nanjing University of Science and Technology Nanjing Jiangsu 210094 China Institute of Automation Qufu Normal University Qufu Shandong 273165 China

A new class of hybrid impulsive and switching models are introduced and their robust exponential stability and control synthesis are addressed. The proposed switched system is composed of stable subsystems and unstable subsystems, which not only involves state delay and norm-bounded time-varying parameter uncertainties, but also contains the impulsive switching effects between the subsystems. Based on the extension of the system dimension and the concept of average dwell time, a kind of practically useful switching rule is presented which guarantees the desired robust exponential stability. A switched state feedback controller is also given.

关键词： Exponential stability Switched systems Switching control State delay Average dwell time

Stability analysis of a class of random nonlinear time-varying systems 36

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Stability analysis of a class of random nonlinear time-varyi...

第36届中国控制会议

作者： Ticao Jiao Cunshan Zhang Qian Ma guangdeng zong Yingchun Wang College of Electrical and Electronic Engineering Shandong University of Technolog School of Automation Nanjing University of Science and Technology School of Engineering Qufu Normal University School of Information Science and Engineering Northeastern University

ISBN: (纸本)9781538629185

This paper is concerned with the stability problem for a class of time-varying nonlinear systems subject to random disturbances with finite 2-order moments. The stability analysis is accomplished by using Lyapunov function method with indefinite derivative. Both the noise-to-state stability and the global asymptotic stability are studied. The validity of the proposed theorems is illustrated by one numerical example.

关键词： Random time-varying systems asymptotic stability noise-to-state stability Lyapunov function with indefinite derivative

Finite-time H∞ control for extended Markovian jump systems with partially known transition probabilities

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Finite-time H∞ control for extended Markovian jump systems ...

第26届中国控制与决策会议

作者： Dong Yang guangdeng zong Institute of Automation Qufu Normal University

This note addresses the problem of finite-time H∞ control for a class of extended Markovian jump *** stochastic process of given system is described by a Markovian chain, and the knowledge of transition jump rates is inaccurate. In this case, the theoretical results on finite-time boundedness, H∞ finite-time boundedness and finitetime H∞ state feedback stabilization, are developed, respectively. Then, the purpose is to design a finite-time H∞ state feedback controller so that the corresponding closed-loop system result to be finite-time boundedness. It is shown that the corresponding existence conditions are presented via a set of strict linear matrix inequalities. Finally, a numerical example is given to demonstrate the effectiveness of the proposed theoretical results.

关键词： The extended Markovian jump systems Finite-time boundedness H∞ control Linear matrix inequalities and Partially known transition probabilities.

Exponential mean-square stability of stochastic singular systems with Markov switching

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Exponential mean-square stability of stochastic singular sys...

第37届中国控制会议

作者： Ticao Jiao Wei Xing Zheng guangdeng zong College of Electrical and Electronic Engineering Shandong University of Technology School of Computing Engineering and MathematicsWestern Sydney University School of Engineering Qufu Normal University

This paper studies the exponential mean-square stability problem for a class of stochastic singular systems with Markov ***,we convert the original system into a differential-algebraic expression on the basis of singular value decomposition ***,some sufficient conditions for the exponential mean-square stability of the converted form are derived in terms of linear matrix inequalities,which in turn lead to the stability of the original system.

关键词： Stochastic singular systems Markov switching exponential mean-square stability

具有多干扰的非线性时变时滞关联系统的复合分层抗干扰控制

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系统科学与数学 2014年第12期34卷 1595-1603页

作者：侯林林宗广灯曲阜师范大学信息科学与工程学院日照276826 曲阜师范大学工学院日照276826

针对一类带有多干扰的非线性时变时滞关联系统,考虑了复合抗干扰控制器设计问题.复合抗干扰控制器的设计主要结合了基于干扰观测器的控制方法(Disturbance observer based control,DOBC)和H_∞控制方法.系统受到的干扰可以分为两类:第... 详细信息

针对一类带有多干扰的非线性时变时滞关联系统,考虑了复合抗干扰控制器设计问题.复合抗干扰控制器的设计主要结合了基于干扰观测器的控制方法(Disturbance observer based control,DOBC)和H_∞控制方法.系统受到的干扰可以分为两类:第一类干扰由外部系统描述,并且与控制输入在同一通道;第二类干扰假定满足有界H_2范数.设计干扰观测器估计第一类干扰,并利用干扰估计值进行前馈补偿;利用H_∞控制方法对第二类干扰进行衰减.利用Lyapunov函数理论分析了闭环系统的稳定性,并以线性矩阵不等式的形式给出了可解的时滞依赖条件.最后,利用数值仿真验证了所提方法的有效性.

关键词：关联系统多干扰时变时滞基于干扰观测器的控制 H_∞控制