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Generalized Dissipativity of Fuzzy Systems by memory sampled-data control

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS 2024年第2期26卷 585-595页

作者： Luo, Jinnan Chen, Lijuan Shi, Kaibo Zhong, Shouming Wu, Qiong Southwest Minzu Univ Coll Elect Engn Chengdu 610041 Peoples R China Shanghai DianJi Univ Sch Elect Engn Shanghai 201306 Peoples R China Chengdu Univ Sch Informat Sci & Engn Chengdu 610106 Peoples R China Univ Elect Sci & Technol China Sch Math Sci Chengdu 611731 Peoples R China

This paper addresses the generalized dissipative problem for fuzzy systems with memory sampled-data control. The aim is to devise the memory sampled-data controller such that the considered system is generalized dissipative. By considering the time derivative of the membership functions and some helpful terms, an improved time-dependent Lyapunov-Krasovskii functional (LKF) is constructed to commendably capture the useful information about the real sampling pattern. Together with some new inequalities and the upper bounds of the time derivative of the membership functions, some new criteria are established to guarantee the fuzzy systems to be generalized dissipative. Moreover, the memory sampled-data controller is devised to include delayed state information with the common sampled-data proportional controller as its special case, which can improve the controller performance. Finally, the merits of the proposed results are demonstrated by the truck-trailer system and Rossler's system.

关键词： Generalized dissipativity Fuzzy systems memory sampled-data control

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Stabilization of Takagi-Sugeno fuzzy Hidden Markov Jump Systems with memory sampled-data control

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MATHEMATICS AND COMPUTERS IN SIMULATION 2024年 226卷 204-217页

作者： Rakkiyappan, R. Sharmila, V. Janani, K. Kashkynbayev, Ardak Bharathiar Univ Dept Math Coimbatore 641046 Tamilnadu India Karpagam Coll Engn Dept Sci & Humanities Coimbatore India Nazarbayev Univ Sch Sci & Humanities Dept Math Astana Kazakhstan

The stability of Takagi-Sugeno fuzzy hidden Markovian jump systems by employing a memory sampled-data control (SDC) scheme that includes a constant signal transmission delay is investigated. The asynchronous situation between the system plant and the controller is represented using the hidden Markov model. The stability of the provided model is ensured by implication of the fuzzy time-scheduled Lyapunov functional (LF), and the sufficient conditions are derived in the form of linear matrix inequalities (LMIs). This simplifies the utilization and generalization of the analysis results, as they exhibit convexity in the subsystem matrix. Additionally, it diminishes the influence of external disturbances by employing the H infinity infinity norm bound. To acquire the required time-dependent memory SDC, it is necessary to solve this set of LMIs. The efficacy and feasibility of the proposed method is established by attaining stability for a chaotic Lorenz system using the T-S fuzzy Hidden Markov Jump Systems with memory SDC.

关键词： T-S fuzzy system Hidden Markov jump system memory sampled-data control Time-scheduled Lyapunov functional

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Nonfragile memory sampled-data control for Exponential Synchronization of Complex Dynamical Networks With Time-Varying Coupling Delay

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IEEE SYSTEMS JOURNAL 2023年第2期17卷 2156-2165页

作者： Shu, Li Guo, Runan Liang, Xingyue Nanjing Univ Sci & Technol Sch Automat Nanjing 210094 Peoples R China

This article addresses the issue of exponential synchronization in complex dynamical networks. First, the nonfragile memory sampled-data control is used to mitigate the impact of controller uncertainties. Second, an augmented Lyapunov-Krasovskii functional (LKF) is built using a modified two-sided looped-functional that requires the positive definite only at sampling instants instead of throughout the sampling period. Moreover, the constructed LKF takes into account the whole sampling period and encompasses information on both the current states and the delayed states. Some exponential synchronization criteria are obtained by combining the Wirtinger-based integral inequality with the optimal reciprocally convex technology, and this scheme results in a larger sampling upper bound. At last, two extensively used numerical simulation examples confirm the proposed method's validity and advantage.

关键词： Synchronization Symmetric matrices Stability criteria Delays Couplings Power system stability Numerical stability Complex dynamical networks (CDNs) exponential synchronization looped-functional memory sampled-data control nonfragile control

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Reliable memory sampled -data control for T S Fuzzy Systems 7th

Reliable Memory Sampled -Data Control for T S Fuzzy Systems

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7th International Conference on Advances in control and Optimization of Dynamical Systems (ACODS)

作者： Saravanakumar, Ramasamy Shi, Kaibo Datta, Rupak Hiroshima Univ Grad Sch Adv Sci & Engn 1-44 Kagamiyama Higashihiroshima 7398527 Japan Chengdu Univ Sch Elect Informat & Elect Engn Chengdu 610106 Sichuan Peoples R China Natl Inst Technol Dept Math Agartala 799046 India

Reliable memory sampled-data control (MSDC) for Takagi-Sugeno (T-S) fuzzy system is considered in this study. The MSDC approach includes a signal transmission delay, is utilized to stabilize the concerned T-S fuzzy system. Unlike existing Lyapunov-Krasovskii functional (LKF) approaches, a looped functional approach is considered in this paper that minimizes conservatism in designing the desired control gains. A Free-Matrix-Based integral inequality is employed to obtain the upper bounds of the integral terms in the derivative of the looped functional. The sufficient conditions are derived to show the existence of reliable MSDC law and to assure the asymptotic stability of T-S fuzzy systems. The effectiveness and significance of the proposed approach are shown through numerical examples. Copyright (C) 2022 The Authors.

关键词： Free-matrix-based inequality memory sampled-data control Reliable control T-S fuzzy system

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Mixed H_∞ and passivity analysis for T-S fuzzy system with non-fragile memory sampled-data control via augment Lyapunov-Krasovskii functional

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INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS 2021年第10期12卷 2933-2945页

作者： Liu, Yuanyuan Ma, Yuechao Yanshan Univ Sch Sci Qinhuangdao 066004 Hebei Peoples R China

The performance of mixed H-infinity and passivity for T-S fuzzy system under the non-fragile memory sampled-data controller is considered in this paper. We construct a non-fragile memory sampled-data controller, which includes a constant signal transmission delay. And by constructing an augment Lyapunov-Krasovskii functional (LKF), taking into account Wirtinger-based integral inequality and the Convex combination technique, we can get a new criteria that mixed H-infinity and passivity for closed-loop system. Numerical examples are used to demonstrate the effectiveness and superiority of the results.

关键词： Non-fragile memory sampled-data control Augment Lyapunov-Krasovskii functional T-S fuzzy system Mixed H-infinity and passivity

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Reliable memory sampled-data control for T–S Fuzzy Systems

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IFAC-PapersOnLine 2022年第1期55卷 722-727页

作者： Ramasamy Saravanakumar Kaibo Shi Rupak Datta Graduate School of Advanced Science and Engineering Hiroshima University 1-4-1 Kagamiyama Higashi-Hiroshima 739-8527 Japan School of Electronic Information and Electrical Engineering Chengdu University Chengdu Sichuan 610106 PR China Department of Mathematics National Institute of Technology Agartala 799046 India

Reliable memory sampled-data control (MSDC) for Takagi–Sugeno (T–S) fuzzy system is considered in this study. The MSDC approach includes a signal transmission delay, is utilized to stabilize the concerned T–S fuzzy system. Unlike existing Lyapunov–Krasovskii functional (LKF) approaches, a looped functional approach is considered in this paper that minimizes conservatism in designing the desired control gains. A Free-Matrix-Based integral inequality is employed to obtain the upper bounds of the integral terms in the derivative of the looped functional. The sufficient conditions are derived to show the existence of reliable MSDC law and to assure the asymptotic stability of T–S fuzzy systems. The effectiveness and significance of the proposed approach are shown through numerical examples.

关键词： Free-matrix-based inequality memory sampled-data control Reliable control T–S fuzzy system

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Stabilization of Flexible Spacecraft with Probabilistic Faults via Reliable memory sampled-data control 6

Stabilization of Flexible Spacecraft with Probabilistic Faul...

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6th Conference on Advances in control and Optimization of Dynamical Systems (ACODS)

作者： Visakamoorthi, B. Subramanian, K. Muthukumar, P. Gandhigram Rural Inst Dept Math Gandhigram 624302 Tamil Nadu India Kunsan Natl Univ Sch IT Informat & Control Engn Gunsan Si 54150 Jeollabuk Do South Korea Kunsan Natl Univ Dept Math Gunsan Si 54150 Jeollabuk Do South Korea

This paper investigates the problem of stability analysis for a flexible spacecraft model via the reliable memory sampled-data control technique. Unlike the previous studies, the actuator fault under the stochastic environment and signal transmission delay are considered to tackle the stabilization problem of flexible spacecraft model. In this regard, the random variable is introduced to characterize the probabilistic actuator fault, which satisfies the Bernoulli distribution. The delay-dependent looped Lyapunov-Krasovskii functional (LKF) is constructed with full information about the whole sampling interval to derive the stability and stabilization analysis of the proposed results. Thus, the designed memory sampled-data control for the given spacecraft model guarantees the asymptotic stability performance in the formation of linear matrix inequalities (LMIs). The numerical section illustrates the effectiveness of the proposed theoretical results. (C) 2020, IFAC (International Federation of Automatic control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Flexible spacecraft memory sampled-data control Lyapunov-Krasovskii functional Probabilistic faults

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Robust H∞ stabilization for T-S fuzzy systems with time-varying delays and memory sampled-data control

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APPLIED MATHEMATICS AND COMPUTATION 2019年 346卷 500-512页

作者： Ge, Chao Shi, Yanpen Park, Ju H. Hua, Changchun North China Univ Sci & Technol Inst Elect Engn Tangshan 063210 Peoples R China Yeungnam Univ Dept Elect Engn 280 Daehak Ro Kyongsan 38541 South Korea Yanshan Univ Inst Elect Engn Qinhuangdao 066004 Peoples R China

In this paper, we address the robust H-infinity stabilization for T-S fuzzy systems with time-varying delays based on memory sampled-data control. By developing some new terms, an improved piecewise Lyapunov-Krasovskii functional (LKF) is constructed to take full advantage of characteristic about real sampling pattern. Furthermore, some relaxed matrices proposed in the LKF are not necessarily positive definite. By using the LKF and Free-Matrix-Based (FMB) integral inequality, some sufficient criteria are established to ensure the stability of fuzzy systems and reduce the influence of external disturbance with an H-infinity norm bound. Then, the memory sampled-data controller can be derived by solving a group of linear matrix inequalities (LMIs) with the maximal sampling period. Finally, a numerical example is given to demonstrate the benefits and the superiority of the approach proposed. (C) 2018 Elsevier Inc. All rights reserved.

关键词： H-infinity-Los stabilization memory sampled-data control Piecewise Lyapunov-Krasovskii functional T-S fuzzy systems Time-varying delays

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Stabilization of Flexible Spacecraft with Probabilistic Faults via Reliable memory sampled-data control ⁎

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IFAC-PapersOnLine 2020年第1期53卷 416-421页

作者： B. Visakamoorthi K. Subramanian P. Muthukumar Department of Mathematics The Gandhigram Rural Institute (Deemed to be University) Gandhigram-624302 Tamil Nadu India The School of IT Information and Control Engineering Kunsan National University 558 Daehak-ro Gunsan-si Jeollabuk-do 54150 Korea

关键词： Flexible spacecraft memory sampled-data control Lyapunov-Krasovskii functional Probabilistic faults

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Nonfragile Exponential Synchronization of Delayed Complex Dynamical Networks With memory sampled-data control

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IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 2018年第1期29卷 118-128页

作者： Liu, Yajuan Guo, Bao-Zhu Park, Ju H. Lee, Sang-Moon Acad Sinica Acad Math & Syst Sci Key Lab Syst & Control Beijing 100190 Peoples R China Yeungnam Univ Dept Elect Engn Gyongsan 38541 South Korea Univ Witwatersrand Sch Comp Sci & Appl Math ZA-2050 Johannesburg South Africa Kyungpook Natl Univ Dept Elect Engn Daegu 41566 South Korea

This paper considers nonfragile exponential synchronization for complex dynamical networks (CDNs) with time-varying coupling delay. The sampled-data feedback control, which is assumed to allow norm-bounded uncertainty and involves a constant signal transmission delay, is constructed for the first time in this paper. By constructing a suitable augmented Lyapunov function, and with the help of introduced integral inequalities and employing the convex combination technique, a sufficient condition is developed, such that the nonfragile exponential stability of the error system is guaranteed. As a result, for the case of sampled-data control free of norm-bound uncertainties, some sufficient conditions of sampled-data synchronization criteria for the CDNs with time-varying coupling delay are presented. As the formulations are in the framework of linear matrix inequality, these conditions can be easily solved and implemented. Two illustrative examples are presented to demonstrate the effectiveness and merits of the proposed feedback control.

关键词： Complex dynamical networks (CDNs) memory sampled-data control nonfragile synchronization time-varying coupling delay

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