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IEEE/CAA Journal of Automatica Sinica 2020年第3期7卷 752-763页

作者： Younes Solgi Alireza Fatehi Ala Shariati Advanced Process Automation and Control Research Group Industrial Control Center of ExcellenceFaculty of Electrical EngineeringK.N.Toosi University of TechnologyTehran 16317-14191Iran IEEE

In this paper, a novel non-monotonic lyapunov-krasovskii functional approach is proposed to deal with the stability analysis and stabilization problem of linear discrete time-delay systems. This technique is utilized to relax the monotonic requirement of the lyapunov-krasovskii theorem. In this regard, the lyapunov-krasovskii functional is allowed to increase in a few steps, while being forced to be overall decreasing. As a result, it relays on a larger class of lyapunov-krasovskii functionals to provide stability of a state-delay system. To this end, using the non-monotonic lyapunov-krasovskii theorem, new sufficient conditions are derived regarding linear matrix inequalities(LMIs)to study the global asymptotic stability of state-delay ***, new stabilization conditions are also proposed for time-delay systems in this article. Both simulation and experimental results on a p H neutralizing process are provided to demonstrate the efficacy of the proposed method.

关键词： Linear matrix inequality(LMI) non-monotonic lyapunov-krasovskii functional(NMLKF) pH neutralization plant stabilization state-delay system time-delay system

Event-triggered state estimation for T-S fuzzy affine systems based on piecewise lyapunov-krasovskii functionals

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Control Theory and Technology 2019年第1期17卷 99-111页

作者： Meng WANG Jianbin QIU Gang FENG Department of Biomedical Engineering City University of Hong Kong Kowloon Hong Kong China State Key Laboratory of Robotics and Systems & Research Institute of Intelligent Control and Systems Harbin Institute of Technology Harbin Heilongjiang 150080 China

This paper investigates the problem of event-triggered H∞state estimation for Takagi-Sugeno (T-S) fuzzy affine systems. The objective is to design an event-triggered scheme and an observer such that the resulting estimation error system is asymptotically stable with a prescribed H∞performance and at the same time unnecessary output measurement transmission can be reduced. First, an event-triggered scheme is proposed to determine whether the sampled measurements should be transmitted or not. The output measurements, which trigger the condition, are supposed to suffer a network-induced time-varying and bounded delay before arriving at the observer. Then, by adopting the input delay method, the estimation error system can be reformulated as a piecewise delay system. Based on the piecewise lyapunov-krasovskii functional and the Finsler's lemma, the event-triggered H∞observer design method is developed. Moreover, an algorithm is proposed to co-design the observer gains and the event-triggering parameters to guarantee that the estimation error system is asymptotically stable with a given disturbance attenuation level and the signal transmission rate is reduced as much as possible. Simulation studies are given to show the effectiveness of the proposed method.

关键词： Takagi-Sugeno (T-S) fuzzy affine systems event-triggered scheme, piecewise lyapunov-krasovskii functional, state estimation

基于lyapunov-krasovskii泛函的线性时滞系统低保守性研究

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科技通报 2018年第6期34卷 1-4页

作者：方庆霞王彩卓何颖子贵州工程应用技术学院理学院

针对带有线性的时滞系统稳定性与低保守性是该领域研究的主要问题。由此提出基于lyapunov-krasovskii泛函的线性时滞系统低保守性研究方法。对lyapunov-krasovskii泛函进行构造,将自由权矩阵的牛顿-莱布尼兹的公式引入到lyapunov-krasov... 详细信息

针对带有线性的时滞系统稳定性与低保守性是该领域研究的主要问题。由此提出基于lyapunov-krasovskii泛函的线性时滞系统低保守性研究方法。对lyapunov-krasovskii泛函进行构造,将自由权矩阵的牛顿-莱布尼兹的公式引入到lyapunov-krasovskii泛函分析中,对泛函导数的交叉项进行界定,基于lyapunov的稳定性的定理,得出线性矩阵时滞相关的稳定性准则,并由数值的算例表明,该稳定性的准则能使时滞系统得到更大时滞的上界,具有较好的稳定性,与当前存在的结果相对比具有更低的保守性。

关键词： lyapunov-krasovskii 泛函线性时滞系统低保守性

Finite-time stabilization of uncertain delayed-hopfield neural networks with a time-varying leakage delay via non-chattering control

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Science China(Technological Sciences) 2019年第7期62卷 1111-1122页

作者： AOUITI Chaouki LI XiaoDi MIAADI Foued University of Carthage Faculty of Sciences ofBizerta Department of Mathematics Research Units of Mathematics and Applications UR13ES47 Bizerta 7021 Tunisia School of Mathematics and Statistics Shandong Normal University Ji'nan 250014 China

This article is concerned with the finite-time stabilization(FTSB) of a class of delayed-Hopfield neural networks with a timevarying delay in the leakage term in the presence of parameter uncertainties. To accomplish the target of FTSB, two new finitetime controllers are designed for uncertain delayed-Hopfield neural networks with a time-varying delay in the leakage term. By utilizing the finite-time stability theory and the lyapunov-krasovskii functional(LKF) approach, some sufficient conditions for the FTSB of these neural networks are established. These conditions, which can be used for the selection of control parameters,are in the form of linear matrix inequalities(LMIs) and can be numerically checked. Additionally, an upper bound of the settling time was estimated. Finally, our theoretical results are further substantiated by two numerical examples with graphical illustrations to demonstrate the effectiveness of the results.

关键词： neural networks finite-time stabilization parametric uncertainties leakage delay lyapunov-krasovskii functional LMI

Robust Finite-Time Guaranteed Cost Control for Positive Systems with Multiple Time Delays

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Journal of Systems Science & Complexity 2019年第2期32卷 496-509页

作者： THUAN Mai Viet Department of Mathematics and Informatics Thainguyen University of Science

This paper deals with the finite-time guaranteed cost control problem for positive system with multiple time delays and bounded disturbance. By using lyapunov-krasovskii functional method,some new sufficient conditions for the design of a state feedback controller which makes the closedloop system finite-time stable and guarantees an adequate cost level of performance are derived. Two numerical examples are also given to show the effectiveness of the proposed method.

关键词： Finite-time guaranteed cost control linear matrix inequalities lyapunov-krasovskii functional multiple time delays positive systems

Attitude coordination for spacecraft formation with multiple communication delays

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Chinese Journal of Aeronautics 2015年第2期28卷 527-534页

作者： Guo Yaohua Lu Pingli Liu Xiangdong School of Automation Beijing Institute of Technology

Communication delays are inherently present in information exchange between space- craft and have an effect on the control performance of spacecraft formation. In this work, attitude coordination control of spacecraft formation is addressed, which is in the presence of multiple communication delays between spacecraft. Virtual system-based approach is utilized in case that a constant reference attitude is available to only a part of the spacecraft. The feedback from the virtual systems to the spacecraft formation is introduced to maintain the formation. Using backstepping control method, input torque of each spacecraft is designed such that the attitude of each spacecraft converges asymptotically to the states of its corresponding virtual system. Furthermore, the back- stepping technique and the lyapunov-krasovskii method contribute to the control law design when the reference attitude is time-varying and can be obtained by each spacecraft. Finally, effectiveness of the proposed methodology is illustrated by the numerical simulations of a spacecraft formation.

关键词： Attitude coordination Backstepping Delay control systems Formation lyapunov-krasovskii

Global Practical Exponential Stabilization for One-Sided Lipschitz Systems with Time Delay

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Journal of Systems Science & Complexity 2022年第6期35卷 2029-2045页

作者： IMEN Akrouti NADHEM Echi Faculty of Sciences of Sfax Department of MathematicsSfax UniversityBP1171 Sfar 3000Tunisia Faculty of Sciences of Gafsa Department of MathematicsGafsa UniversityZarroug Gafsa 2112Tunisia

This paper addresses the practical stabilization problem for a class of one-sided Lipschitz nonlinear time delay systems with external *** case there is no perturbation,the exponential convergence of the observer was *** external disturbances appear in the system,a separation principle is established,and the authors show that the closed loop system is exponentially practical *** choosing a suitable lyapunov-krasovskii functional,the authors derive new sufficient conditions to guarantee the exponential stability of the ***,a physical model is performed to prove the efficiency and applicability of the suggested approach.

关键词： lyapunov-krasovskii nonlinear time-delay systems one-sided Lipschitz condition separation principle

Stability Analysis of Network Controlled Temperature Control System with Additive Delays

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Computer Modeling in Engineering & Sciences 2018年第3期114卷 321-334页

作者： V.Venkatachalam D.Prabhakaran Department of Chemical Engineering Coimbatore Institute of TechnologyCoimbatore-641014India

This paper presents,using lyapunov-krasovskii functional technique combined with reciprocal convex lemma is considered for a networked control temperature control system with additive *** the stability analysis,a new LK functional is assumed,and take the time-derivative of the(LK)functional,using reciprocal convex combination technique was employed to obtain less conservative stability ***,the proposed stability analysis culminates into a stability criterion in the LMI(linear matrix inequalities)*** results obtained are in accordance with the theoretically obtained in the temperature control system and they are closer to the standard benchmark temperature-control system.

关键词： Delay-dependent stability time-varying additive delays temperature control heat exchanger lyapunov-krasovskii functional linear matrix inequality reciprocal convex lemma

基于时滞分割法的区间变时滞不确定系统鲁棒稳定新判据

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控制与决策 2014年第5期29卷 907-912页

作者：张合新惠俊军周鑫李国梁第二炮兵工程大学控制工程系西安710025

针对一类存在泛数有界不确性的区间变时滞线性系统,利用lyapunov-krasovskii(L-K)泛函方法并结合线性矩阵不等式(LMI)技术建立一种新的保守性更低的鲁棒稳定性判据.首先基于时滞分割方法将时滞区间均分成N等分,针对不同的子区间构造合适... 详细信息

针对一类存在泛数有界不确性的区间变时滞线性系统,利用lyapunov-krasovskii(L-K)泛函方法并结合线性矩阵不等式(LMI)技术建立一种新的保守性更低的鲁棒稳定性判据.首先基于时滞分割方法将时滞区间均分成N等分,针对不同的子区间构造合适的L-K泛函;然后在各自的分割区间采用保守性较小的积分不等式处理泛函沿时间的导数,基于凸组合技术建立了LMI形式的时滞相关稳定性新判据;最后通过数值实例验证了结论的有效性.

关键词： lyapunov-krasovskii (L-K)泛函鲁棒稳定区间时滞积分不等式线性矩阵不等式 linear matrix inequality(LMI)

基于时延随机分布的网络化控制系统控制器设计

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北京理工大学学报 2013年第9期33卷 934-939页

作者：赵众刘志立北京化工大学信息科学与技术学院北京100029

针对一类非线性网络化控制系统,根据网络诱导时延两个主要部分即传感器到控制器时延及控制器到执行器时延的不同随机分布特性,利用lyapunov-krasovskii泛函方法得到了闭环系统的均方稳定性条件.在系统闭环方程中引入时滞的随机分布特性... 详细信息

针对一类非线性网络化控制系统,根据网络诱导时延两个主要部分即传感器到控制器时延及控制器到执行器时延的不同随机分布特性,利用lyapunov-krasovskii泛函方法得到了闭环系统的均方稳定性条件.在系统闭环方程中引入时滞的随机分布特性,获得一种新形式的lyapunov-krasovskii方程,降低了控制器设计方法的保守性.仿真结果表明了该方法的有效性.

关键词：网络化控制系统时延随机分布 lyapunov-krasovskii 非线性