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Stability and Stabilization of T–S Fuzzy Time-Delay Systems Under sampled-data control via New Asymmetric Functional Method

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IEEE TRANSACTIONS ON FUZZY SYSTEMS 2023年第9期31卷 3197-3209页

作者： Sheng, Zhaoliang Lin, Chong Chen, Bing Wang, Qing-Guo Qingdao Univ Inst Complex Sci Sch Automat Shandong Key Lab Ind Control Technol Qingdao 266071 Peoples R China Nanjing Univ Sci & Technol Sch Automat Nanjing 210094 Peoples R China Beijing Normal Univ Inst Artificial Intelligence & Future Networks Zhuhai 519087 Peoples R China BNU HKBU United Int Coll Guangdong Prov Key Lab Interdisciplinary Res & App Guangdong Key Lab AI & Multimodal Data Proc Zhuhai 519087 Peoples R China

This article studies the stability and stabilization of Takagi-Sugeno (T-S) fuzzy time-delay systems under sampled-data control via a new asymmetric Lyapunov-Krasovskii functional (LKF) method. The method improves the common symmetric basic functional term. Besides, we improve the looped-functional term and the discontinuous functional term through combining the integral about time delay and each sampling interval, respectively. Based on the abovementioned new approaches, we present the stability and stabilization results with less conservativeness than the literature through linear matrix inequalities. In the process, we introduce a simplification approach for stabilization of sampled-data control, which effectively reduces the computational complexity of results. At last, we provide three examples to verify the effects and advantages of our results.

关键词： Asymmetric functional method looped-functional and discontinuous functional sampled-data control simplification approach for stabilization Takagi-Sugeno (T-S) fuzzy time-delay systems

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Stability analysis of Lure systems under aperiodic sampled-data control

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR control 2023年第12期33卷 7130-7153页

作者： Titton, Mathias Giordani da Silva Jr, Joao Manoel Gomes Valmorbida, Giorgio Jungers, Marc Univ Fed Rio Grande UFRGS PPGEE DELAE Porto Alegre RS Brazil Univ Paris Saclay Project DISCO Inria Saclay Lab Signaux & Syst Cent SupelecCNRS Gif Sur Yvette France Univ Lorraine CNRS CRAN Nancy France

This article deals with the stability analysis of Lure type systems through aperiodic sampled-data control laws, where the nonlinearity is assumed to be both sector and slope restricted. The proposed method is based on the use of a new class of looped-functionals, which depends on the nonlinearity and its slope, and on a generalized Lure type function, that is quadratic on both the states and the nonlinearity and has a Lure-Postnikov integral term. On this basis, conditions in the form of linear matrix inequalities to certify global or regional asymptotic stability of the closed-loop system are obtained. These conditions are then used in optimization problems for computing the maximum intersampling interval or the maximum sector bounds for which the stability of the sampled-data closed-loop system is guaranteed. Numerical examples to illustrate the results are provided.

关键词： looped-functional approach Lure systems sampled-data control sector bounded nonlinearities stability analysis

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sampled-data control for nonlinear systems with mismatched disturbances: a non-recursive design framework

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JOURNAL OF control AND DECISION 2025年

作者： Zhao, Jinyang Dong, Xin Cao, Zhongkun Zhang, Chuanlin Shanghai Univ Elect Power Coll Automat Engn Shanghai Peoples R China Shanghai Univ Elect Power Intelligent Autonomous Syst Lab Shanghai Peoples R China Shanghai Jiao Tong Univ Dept Automat Shanghai 200240 Peoples R China Shandong Univ Sch Elect Engn Jinan Peoples R China

This paper investigates a class of general nonlinear systems perturbed in a mismatched structural disturbance and formulates a sampled-data state feedback control law in a non-recursive manner. A novel discrete-time (DT) observer is first proposed in this strategy to recognise the unknown perturbations. Then, by utilising the estimated information, a linear DT non-recursive controller can be constructed in one step. The biggest challenges lie in the estimation accuracy of the DT observer and the rigorous stability analysis of the hybrid closed-loop system. Besides, the distinguished feature of the proposed method is the 'explosion of terms' caused by step-by-step recursive design in the traditional recursive control approaches can be avoided. Furthermore, the DT composite control design is friendly to digital computer implementation. The effectiveness of the built control scheme is validated through some numerical simulations and an illustrative application example.

关键词： Mismatched disturbance non-recursive control discrete-time observer sampled-data control

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Guaranteed cost sampled-data control for high-speed train systems

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OPTIMAL control APPLICATIONS & METHODS 2023年第4期44卷 1700-1715页

作者： Tong, Dongbing Tong, Yinghao Chen, Qiaoyu Zhou, Wuneng Shanghai Univ Engn Sci Coll Elect & Elect Engn Shanghai 201620 Peoples R China Donghua Univ Coll Informat Sci & Technol Shanghai 201620 Peoples R China

The optimal guaranteed cost sampled-data control problem is studied for high-speed train systems. To keep the relative speed and relative displacement of each high-speed train stable, and ensure the performance level of high-speed trains at the same time, sufficient conditions are obtained for the optimal guaranteed cost sampled-data controller of train systems. By the convex optimization method, the minimum upper bound of high-speed train systems is obtained. At last, two examples are presented to substantiate the correctness of theoretical results.

关键词： high speed train systems optimal guaranteed cost control sampled-data control time-varying delays

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Extended Dissipative Synchronization of Reaction-Diffusion Genetic Regulatory Networks Based on sampled-data control

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NEURAL PROCESSING LETTERS 2023年第3期55卷 3169-3183页

作者： Qin, Yuqing Li, Feng Wang, Jing Shen, Hao Anhui Univ Technol Sch Elect & Informat Engn Maanshan 243002 Peoples R China Anhui Univ Technol Anhui Higher Educ Inst Key Lab Multidisciplinary Management & Control Co Maanshan 243002 Peoples R China

This work focuses on the extended dissipative synchronization control issue for reaction-diffusion genetic regulatory networks. The purpose of this paper is to design the sampled-data controllers that can meet the transmission requirement of networks and decrease the measure of the transmitted data signal. Furthermore, in order to take full advantage of actual sampling information, a Lyapunov-Krasovskii functional containing some sampled-instant-dependent terms is constructed. Then, sufficient conditions are derived, which guarantee that the error system satisfying extended dissipative performance index and the states of the system converge to zero asymptotically. Meanwhile, the desired sampled-data control gains are obtained by solving the convex optimization problem. Finally, a simulation example is provided to verify the established results.

关键词： Genetic regulatory networks Extended dissipative synchronization sampled-data control Reaction-diffusion

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Induced L-8 Quantized sampled-data control for T-S Fuzzy System With Bandwidth Constraint

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IEEE TRANSACTIONS ON FUZZY SYSTEMS 2023年第3期31卷 1031-1040页

作者： Song, Jiasheng Chang, Xiao-Heng Wuhan Univ Sci & Technol Sch Informat Sci & Engn Wuhan 430081 Hubei Peoples R China

This article proposes an induced L-infinity sampled-data control problem for the Takagi-Sugeno (T-S) fuzzy system with dynamic quantization, in which the communication channel is assumed to be bandwidth-constrained. First, according to the input delay approach, the dynamics of the considered closed-loop system is modeled by a delay system with constrained nonlinear term. Then, for the bandwidth-constrained communication channel, a constraint condition is introduced to ensure that the adjustable parameter of the dynamic quantization strategy is limited by a bounding region. The main purpose of the problem addressed is to design a controller, such that the closed-loop system guarantees the asymptotic stability with an induced L-infinity performance index. The sufficient conditions of stability with induced L-infinity control performance are given as the basis of controller design. Furthermore, the induced L-infinity sampled-data control scheme and the improved updating rule of dynamic parameter are proposed. Finally, an example shows the effectiveness of the the proposed controller design scheme.

关键词： Index Terms-T-S fuzzy system induced L(8 )control dynamic quantization strategy sampled-data control

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Further Results on Dissipativity Analysis for T-S Fuzzy Systems Based on sampled-data control

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IEEE TRANSACTIONS ON FUZZY SYSTEMS 2023年第2期31卷 660-668页

作者： Zhai, Zhengliang Yan, Huaicheng Chen, Shiming Zhan, Xisheng Zeng, Hongbing East China Jiaotong Univ Sch Elect & Automat Engn Nanchang 330013 Peoples R China East China Univ Sci & Technol Minist Educ Key Lab Smart Mfg Energy Chem Proc Shanghai 200237 Peoples R China Chengdu Univ Sch Informat Sci & Engn Chengdu 610106 Peoples R China Hubei Normal Univ Coll Mechatron & Control Engn Huangshi 435002 Peoples R China Hunan Univ Technol Sch Elect & Informat Engn Zhuzhou 412007 Peoples R China

This article investigates the dissipative stability and stabilization problems of Takagi-Sugeno fuzzy systems by employing sampled-data control. First, in order to enhance the adaptability of the controller, the internal and external influence factors, such as communication time delay and aperiodic sampling pattern, are taken into consideration in the design process. Then, some new terms are proposed to construct the looped-functional-like Lyapunov functional, which can improve the dissipative performance, enlarge the admissible upper bound of the aperiodic sampling periods, and reduce the occupation of control signals in the communication channel. Next, based on the free-matrix-based integral inequalities, some novel dissipative criteria are presented in terms of linear matrix inequalities. Finally, the superiority of the provided criteria is demonstrated through a truck-trailer system.

关键词： Dissipative stability and stabilization looped-functional-like Lyapunov functional sampled-data control Takagi-Sugeno (T-S) fuzzy systems

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sampled-data control for Markovian switching neural networks with output quantization and packet dropouts

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JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 2024年第18期361卷

作者： Chen, Yebin Zhang, Xiaoqing Yan, Zhilian Faydasicok, Ozlem Arik, Sabri Anhui Univ Technol Sch Comp Sci & Technol Maanshan 243032 Peoples R China Anhui Univ Technol Sch Elect & Informat Engn Maanshan 243032 Peoples R China Istanbul Univ Fac Sci Dept Math TR-34134 Istanbul Turkiye Istanbul Univ Cerrahpasa Fac Engn Dept Comp Engn TR-34320 Istanbul Turkiye

This paper explores sampled-data control for Markovian switching neural networks (MSNNs) with dynamic output quantization and packet dropouts. The primary goal is to construct a multi-mode, quantized sampled-data controller that ensures stochastic stability and H infinity infinity disturbance-reduction performance of the closed-loop MSNN. A Bernoulli-distributed random variable with uncertain probability is introduced to characterize the incidence of packet dropouts. To describe potential mode inconsistencies that may occur between the MSNN and controller, an exponential hidden Markov model is employed. Furthermore, the quantizer's dynamic scaling factor is intentionally built as a piecewise function to avoid the potential division-by-zero problem. A sufficient condition for stochastic stability and H-infinity disturbance- reduction performance is proposed, utilizing a mode- and time-dependent Lyapunov-type functional and several stochastic analysis tools. Then, through decoupling nonlinearities, a numerically efficient approach for determining the desired controller gains and parameter range associated with the dynamic scaling factor is developed. In order to facilitate comparisons, the situation with no uncertainty in the probability of packet dropouts is studied, and both analysis and design approaches are offered. Finally, two simulation examples are provided to validate the effectiveness and applicability of the developed approaches.

关键词： Neural network Markovian switching Dynamic quantization Packet dropout sampled-data control

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Stabilization for T-S Fuzzy sampled-data control Systems by a Modified Two-Side Looped Functional 4

Stabilization for T-S Fuzzy Sampled-Data Control Systems by ...

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4th International Conference on Computer Communication and Artificial Intelligence (CCAI)

作者： Cui, Huihai Cheng, Chen Yuan, Qiping Intermediate Peoples Court NingBo Ningbo Zhejiang Peoples R China State Key Lab Technol Space Cryogen Propellants Beijing Peoples R China

ISBN: (纸本)9798350362770;9798350362763

The stabilization problem for T-S fuzzy sampled-data control systems is studied by a modified two-side looped functional in this paper. By making full use of realistic information about system and sampling interval, a modified two-side looped functional that contains two new system state integral terms is constructed to achieve a well control effect. With the help of two new system state integral terms, two zero equations can be obtained, and some free matrices are introduced in the process of deriving the stabilization condition, which can provide more degrees of freedom for the solution of the derived stabilization condition. Moreover, two adjustment parameters that can lead to a less conservative result also are introduced. Finally, the nonlinear Lorenz system is given to check the effectiveness of the designed sampling controller. The results illustrate the effectiveness of the modified two-side looped functional.

关键词： sampled-data control T-S fuzzy systems zero equation modified two-side looped functional stabilization

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sampled-data control of Nonlinear Multi-Agent Systems via Output-Feedback 41

Sampled-Data Control of Nonlinear Multi-Agent Systems via Ou...

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第41届中国控制会议

作者： Xiaoyu Xu Wuquan Li School of Mathematics and Statistics Science Ludong University

ISBN: (数字)9789887581536

ISBN: (纸本)9781665482561

In this paper,we investigate the problem of output-feedback tracking for a class of nonlinear multi-agent systems by linear sampled-data ***,through integrating the high-gain homogeneous domination method into sampleddata control,we propose a new linear sampled-data high-gain homogeneous domination control strategy,under which the linear output-feedback sampled-data controller and observer are *** designed output-feedback sampled-data controller is shown to achieve arbitrarily small tracking errors while guaranteeing the global boundedness of all states of the closed-loop system.A simulation example demonstrates the validity of the proposed strategy.

关键词： Output-feedback tracking sampled-data control Nonlinear multi-agent systems

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