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Finite-time boundedness of switched systems with time-varying delays via sampled-data control

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR control 2020年第7期30卷 2953-2976页

作者： Lin, Xiangze Zhang, Wanli Yang, Zhonglin Zou, Yun Nanjing Agr Univ Coll Engn Nanjing 210031 Peoples R China Nanjing Univ Sci & Technol Sch Automat Nanjing Peoples R China

In the framework of sampled-data control, finite-time boundedness (FTB) of switched systems with time-varying delays is investigated. Sufficient conditions for FTB of switched systems with time-varying delays via sampled-data control are proposed. Moreover, considering the relationship between the sampling period and the mode-dependent average dwell time, switching signals are designed. In addition, finite-time weighted L-2-gain (FTW-L-2-gain) of switched systems with time-varying delays is proposed to measure their disturbance tolerance capacity within a finite-time interval. Multiple Lyapunov-Krasovskii functionals are applied to complete subsequent proofs in detail. Simulation results are exemplified to verify the proposed method.

关键词： finite-time boundedness multiple Lyapunov-Krasovskii functionals sampled-data control switched systems

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A Switched Operation Approach to sampled-data control Stabilization of Fuzzy Memristive Neural Networks With Time-Varying Delay

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IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 2020年第3期31卷 891-900页

作者： Wang, Xin Park, Ju H. Zhong, Shouming Yang, Huilan Southwest Univ Coll Elect & Informat Engn Chongqing 400715 Peoples R China Yeungnam Univ Dept Elect Engn Gyongsan 38541 South Korea Univ Elect Sci & Technol China Sch Math Sci Chengdu 611731 Peoples R China Southwest Univ Sch Math & Stat Chongqing 400715 Peoples R China

This paper investigates the issue of sampled-data stabilization for Takagi-Sugeno fuzzy memristive neural networks (FMNNs) with time-varying delay. First, the concerned FMNNs are transformed into the tractable fuzzy NNs based on the excitatory and inhibitory of memristive synaptic weights using a new convex combination technique. Meanwhile, a switched fuzzy sampled-data controller is employed for the first time to tackle stability problems related to FMNNs. Then, the novel stabilization criteria of the FMNNs are established using the fuzzy membership functions (FMFs)-dependent Lyapunov-Krasovskii functional. This sufficiently utilizes information from not only the delayed state and the actual sampling pattern but also the FMFs. Two simulation examples are presented to demonstrate the feasibility and validity of the proposed method.

关键词： Delays Switches Artificial neural networks Memristors Delay effects Fuzzy memristive neural networks (FMNNs) sampled-data control stabilization time-varying delay

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Output regulation of linear systems via sampled-data control

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AUTOMATICA 2020年第0期113卷 108684-000页

作者： Liu, Wei Huang, Jie Chinese Univ Hong Kong Dept Mech & Automat Engn Shatin Hong Kong Peoples R China

In this paper, we study the output regulation problem for linear systems by the aperiodic sampled-data control approach. Suppose the problem is solvable by a continuous-time static state feedback control law and a continuous-time dynamic output feedback control law. Then, we first show that, if the exogenous signal is constant, then the output regulation problem is solvable exactly by both the sampled-data static state feedback control law and the sampled-data dynamic output feedback control law. If the exogenous signal is time-varying with bounded derivative, then we further show that the problem is solvable practically by both the sampled-data static state feedback control law and the sampled-data dynamic output feedback control law. (C) 2019 Elsevier Ltd. All rights reserved.

关键词： Output regulation sampled-data control Linear systems

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Synchronization and Consensus in Networks of Linear Fractional-Order Multi-Agent Systems via sampled-data control

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IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 2020年第8期31卷 2955-2964页

作者： Chen, Jiejie Chen, Boshan Zeng, Zhigang Hubei Normal Univ Coll Comp Sci & Technol Huangshi 435002 Hubei Peoples R China Huazhong Univ Sci & Technol Sch Automat Wuhan 430074 Peoples R China Hubei Normal Univ Coll Math & Stat Huangshi 435002 Hubei Peoples R China Huazhong Univ Sci & Technol Sch Artificial Intelligence & Automat Wuhan 430074 Peoples R China Minist Educ Key Lab Image Proc & Intelligent Control Wuhan 430074 Peoples R China

This article addresses synchronization and consensus problems in networks of linear fractional-order multi-agent systems (LFOMAS) via sampled-data control. First, under very mild assumptions, the necessary and sufficient conditions are obtained for achieving synchronization in networks of LFOMAS. Second, the results of synchronization are applied to solve some consensus problems in networks of LFOMAS. In the obtained results, the coupling matrix does not have to be a Laplacian matrix, its off-diagonal elements do not have to be nonnegative, and its row-sum can be nonzero. Finally, the validity of the theoretical results is verified by three simulation examples.

关键词： Synchronization Couplings Multi-agent systems Laplace equations Protocols control systems Autonomous agents Consensus fractional-order multi-agent systems sampled-data control synchronization

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Global Fault-Tolerant sampled-data control for Large-Scale Switched Time-Delay Nonlinear Systems

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IEEE SYSTEMS JOURNAL 2020年第2期14卷 1549-1557页

作者： He, Wenmin Ahn, Choon Ki Xiang, Zhengrong Nanjing Univ Sci & Technol Sch Automat Nanjing 210094 Peoples R China Korea Univ Sch Elect Engn Seoul 136701 South Korea

In this paper, the global sampled-data control problem has been considered for large-scale switched time-delay nonlinear systems subject to actuator failures. A reduced-order observer is developed to estimate unmeasured states, and a decentralized sampled-data controller is designed with an allowable sampling period. It can be shown that all states of the corresponding closed-loop system are globally uniformly ultimately bounded under arbitrary switchings through the choice of the suitable Lyapunov- Krasoviskii functional. Finally, the validity of the proposed control scheme is verified using an example.

关键词： Actuators Switches Switched systems Nonlinear systems Delays Observers Fault-tolerant control (FTC) large-scale systems sampled-data control switched systems time-delay systems

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Finite-time non-fragile H∞ sampled-data control for uncertain T-S fuzzy system with time-varying delay and nonlinear perturbation subject to Markovian jump

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ISA TRANSACTIONS 2020年 99卷 59-73页

作者： Zhang, Yutong Ma, Yuechao Fu, Lei Zhao, Wenying Huang, Xiaojie Yanshan Univ Sch Sci Qinhuangdao 066004 Hebei Peoples R China Yanshan Univ Sch Elect Engn Qinhuangdao 066004 Hebei Peoples R China

This paper focuses on studying the finite-time non-fragile H-infinity sampled-data control of uncertain T-S fuzzy time-varying delay system with nonlinear perturbation and Markovian jump parameters. We first construct a different Lyapunov-Krasovskii functional that plays a key role to fully capture the available characteristics of sampling period. Second, based on the Lyapunov-Krasovskii functional approach, free weighting matrix method and a novel efficient inequality technique, less conservative sufficient conditions are established, which make stochastic fuzzy system achieve finite-time boundedness and finite-time H-infinity boundedness with an optimized performance. Then, the desired multiplicative nonfragile sampled-data control gains can be obtained by solving the linear matrix inequalities. Finally, three numerical examples are given to illustrate the effectiveness of the proposed method. (C) 2019 ISA. Published by Elsevier Ltd. All rights reserved.

关键词： Finite-time H-infinity boundedness Markovian jump T-S fuzzy system Non-fragile control sampled-data control Linear matrix inequalities

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sampled-data control for a class of linear time-varying systems

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AUTOMATICA 2019年 103卷 126-134页

作者： Zhang, Wenbing Han, Qing-Long Tang, Yang Liu, Yurong Yangzhou Univ Dept Math Yangzhou 225009 Jiangsu Peoples R China Swinburne Univ Technol Sch Software & Elect Engn Melbourne Vic 3122 Australia East China Univ Sci & Technol Minist Educ Key Lab Adv Control & Optimizat Chem Proc Shanghai 200237 Peoples R China

This paper is concerned with the sampled-data control for a class of linear time-varying system. A classic Halanay inequality is first extended to the time-varying sampled-data system. Then based on the comparison principle and the extended Halanay inequality, new criteria for globally uniformly exponential stability and globally uniformly asymptotic stability of the corresponding closed-loop system are derived. Furthermore, an algorithm is presented to solve the gain synthesis problem. Finally, one example is given to show the effectiveness of the obtained results. (C) 2019 Elsevier Ltd. All rights reserved.

关键词： Time-varying linear systems sampled-data control Stabilization

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sampled-data H∞ control of Semilinear Fractional Reaction Diffusion Systems 39

Sampled-Data H∞ Control of Semilinear Fractional Reaction D...

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39th Youth Academic Annual Conference of Chinese-Association-of-Automation (YAC)

作者： Zhang, ChenLong Chen, Juan Xue, Yuwei ChangZhou Univ Sch Big Data Changzhou Jiangsu Peoples R China

ISBN: (纸本)9798350390780;9798350379228

In this work, we think about the H-infinity control problem for a class of semilinear fractional-order reaction-diffusion system. For such system, the static feedback controller is designed with spatially sampled-data and continuous in time. Here we suppose that the sampled-in-space intervals are bounded, under point measurements (PMs), by using the fractional Lyapunov method, we have designed an H-infinity controller based on sampled-data such that the designed controller reduces the impact of the external disturbance on the system.

关键词： fractional-order systems reaction-diffusion systems sampled-data control asymptotically stabilization H-infinity controlcontrol

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sampled-data control With Adjustable Switching Frequency for DC-DC Converters

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IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS 2019年第10期66卷 8060-8071页

作者： Yan, Xingda Shu, Zhan Sharkh, Suleiman M. Wu, Zheng-Guang Chen, Michael Z. Q. Univ Southampton Dept Mech Engn Southampton SO17 1BJ Hants England Zhejiang Univ Inst Cyber Syst & Control Hangzhou 310027 Zhejiang Peoples R China Univ Hong Kong Dept Mech Engn Hong Kong Peoples R China

In this paper, a novel sampled-data control approach is proposed for dc-dc converters. The dc-dc power electronic converter is modeled as a sampled-data switched affine system according to the status of the power switch. A novel switching control algorithm is synthesized by using the switched Lyapunov theory. The proposed approach is able to not only drive the output to a prescribed set point from any initial condition, but also track a varying reference signal, and the switching frequency can be adjusted online with the guaranteed stability. In addition, with this approach, continuous conduction mode and discontinuous conduction mode operations can be treated in a unified way. The effectiveness and merits of the proposed method are illustrated by experiments on a laboratory prototype.

关键词： DC-DC conversion sampled-data control variable switching frequency

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sampled-data control for linear time-delay distributed parameter systems

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ISA TRANSACTIONS 2019年 92卷 75-83页

作者： Wang, Zi-Peng Wu, Huai-Ning Wang, Xiao-Hong Univ Jinan Sch Elect Engn Jinan 250022 Shandong Peoples R China Beihang Univ Sch Automat Sci & Elect Engn Sci & Technol Aircraft Control Lab Beijing 100191 Peoples R China

Some real systems have spatiotemporal dynamics and are time-delay distributed parameter systems (DPSs). The existence of time-delay may lead to system instability. The analysis and design of DPSs with time-delay is essentially more complicated. To take into account the factor of time-delay and fully enjoy the benefits of the digital technology in control engineering, it is a theoretical and practical value to consider the sampled-data control (SDC) problem of DPSs with time-delay. However, there are few attempts to solve the SDC problem of time-delay DPSs. In this paper, we introduce a SDC for linear time-delay DPSs described by parabolic partial differential equations (PDEs). A SDC design is developed in the formulation of spatial linear matrix inequalities (LMIs) by constructing an appropriate Lyapunov functional, which can stabilize exponentially the time-delay DPSs. This stabilization condition can be applied to either slowing-varying time delay or fast-varying one. Finally, simulation results of a numerical example are provided to illustrate the effectiveness of the proposed method. (C) 2019 ISA. Published by Elsevier Ltd. All rights reserved.

关键词： sampled-data control Distributed parameter systems (DPS) Time-varying delay Spatial linear matrix inequality

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