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nonfragile stabilization for semi-Markovian switching systems with actuator saturation via improved dynamic event-triggered scheme

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2021年第4期31卷 1084-1102页

作者： Luo, Miaohong Wu, Xihui Mu, Xiaowu Yang, Zhe Zhengzhou Univ Sch Math & Stat Zhengzhou Peoples R China

This article addresses the problem of stabilization and the H infinity performance for semi-Markovian systems with actuator saturation via dynamic event-triggered scheme. Due to actuator degradation and numerical round-off errors, nonfragile control is proposed. Meanwhile, the saturated nonlinearity is considered in the controller design process, which makes the controller design more practical. Furthermore, the improved event-triggered scheme is utilized for reducing transmitting unnecessary sampled data to the network and saving communication cost. By establishing appropriate Lyapunov-Krasovskii functional that depends on model information and using free-weighting matrix techniques, new sufficient conditions for ensuring the stabilization of the controlled systems are obtained. Then the gain matrices of the controller can be also designed. Finally, simulation examples are provided to verify that the results we get are effective.

关键词： actuator saturation event‐ triggered scheme nonfragile controller semi‐ Markovian jump systems

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nonfragile Fuzzy Control for Nonlinear Fast Sampling Singularly Perturbed Systems Subject to Markov Jumping Parameters

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IEEE TRANSACTIONS ON FUZZY SYSTEMS 2021年第7期29卷 1953-1966页

作者： Shen, Hao Yang, Chengyu Xia, Jianwei Park, Ju H. AnHui Prov Key Lab Special Heavy Load Robot Maanshan 243032 Peoples R China Anhui Univ Technol Sch Elect & Informat Engn Maanshan 243002 Peoples R China Liaocheng Univ Sch Math Sci Liaocheng 252059 Shandong Peoples R China Yeungnam Univ Dept Elect Engn Kyongsan 38541 South Korea

This article investigates the nonfragile extended dissipative control problem for a class of nonlinear fast sampling singularly perturbed systems subject to Markov jumping parameters. Thereinto, the Tagaki-Sugeno fuzzy model is utilized to describe the nonlinear part, and the nonfragile control strategy is employed to handle the gain variations in a controller. Furthermore, we aim to design a fuzzy nonfragile controller, which can ensure that the systems under consideration are stochastically stable as well as extended dissipative. To this end, through constructing a mode-dependent Lyapunov function and applying the convex optimization theory, some sufficient conditions that are independent of the singular perturbation parameter epsilon are derived. Besides, a set of controller gains is also obtained by solving the aforesaid conditions. Based on the effectiveness of the controller, the technique to obtain the upper bound of the singular perturbation parameter is developed, and an improved system performance related to such an upper bound is achieved. Finally, through a numerical example and an inverted pendulum model example, the superiority and the practicability of this article are verified.

关键词： Fast sampling singularly perturbed systems Markov jump parameters nonfragile controller Tagaki-Sugeno (T-S) fuzzy model

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Non-fragile quasi-synchronization of delayed heterogeneous dynamical networks with memory sampled-data control

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TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL 2021年第10期43卷 2321-2333页

作者： Zhao, Manyu Wang, Zhengxin Ye, Jun Nanjing Univ Posts & Telecommun Sch Sci Nanjing 210023 Peoples R China

This paper investigates the quasi-synchronization problem for a class of heterogeneous dynamical networks based on a non-fragile memory sampled-data controller. Considering the effect of controller gain fluctuation and communication delay, a sampled-data control scheme with norm-bounded uncertainty and a constant signal transmission delay is designed. By introducing a leader, the heterogeneous complex delayed networks can be transformed into the corresponding error systems with bounded disturbances. A sufficient criterion to ensure that the error system can be exponentially stable and converge to a bounded region is established by the Lyapunov-Krasovskii function approach. Based on the criterion, the sampled-data control gain matrix is designed. Finally, the numerical examples are presented to illustrate the effectiveness of the theoretical results in this paper.

关键词： Quasi-synchronization heterogeneous complex delayed networks nonlinear dynamics memory sampled-data nonfragile controller

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nonfragile synchronization control of T-S fuzzy Markovian jump complex dynamical networks

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CHAOS SOLITONS & FRACTALS 2023年第1期170卷

作者： Zhong, Yuguang Song, Dening Harbin Engn Univ Coll Mech & Elect Engn Harbin 150001 Peoples R China

This paper investigates the nonfragile dissipativity synchronization control problem of discrete-time Takagi-Sugeno (T-S) fuzzy Markovian jump complex dynamical networks. Considering the randomly occurring uncer-tainty, the nonfragile synchronization controller is proposed. According to the strict dissipative performance, a sufficient condition is developed to ensure that the complex network is stochastically stable by using the fuzzy -basis-dependent and mode-dependent Lyapunov function. Then, new design conditions about the nonfragile controller are obtained in the form of linear matrix inequalities. Finally, the validity of the established theoretical results is illustrated by a numerical example.

关键词： Complex dynamical networks Markovian jump systems T-S fuzzy model nonfragile controller

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Non-fragile control design and state estimation for vehicle dynamics subject to input delay and actuator faults

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IET CONTROL THEORY AND APPLICATIONS 2020年第1期14卷 134-144页

作者： Sakthivel, Rathinasamy Mohanapriya, Saminathan Kaviarasan, Boomipalagan Ren, Yong Anthoni, Selvaraj Marshal Bharathiar Univ Dept Math Coimbatore 641046 Tamil Nadu India Sungkyunkwan Univ Dept Math Suwon 440746 South Korea Anna Univ Dept Math Reg Campus Coimbatore 641046 Tamil Nadu India Anhui Normal Univ Dept Math Wuhu 241000 Peoples R China

In this study, the authors precisely concentrate on the issue of state estimator-based non-fragile reliable control design of the vehicle dynamics in critical situations via the extended dissipative theory. In particular, the vehicle dynamics for rollover mitigation with input time delay and the state estimator are represented by the Takagi-Sugeno (T-S) fuzzy model. Moreover, by constructing a suitable Lyapunov-Krasovskii functional, sufficient conditions for asymptotic stability and extended dissipativity of the proposed T-S fuzzy control system are formulated in terms of linear matrix inequalities (LMIs) such that the estimated state values are exactly synchronised with the actual state values of the considered vehicle model. Also, a non-fragile reliable control design method is then presented via the formulated LMI-based conditions, which can satisfactorily prevent the vehicle rollover in critical situations. Finally, the proposed theoretical results are verified through simulations wherein the significance and importance of the designed non-fragile controller are clearly illustrated.

关键词： linear matrix inequalities fuzzy control robust control Lyapunov methods actuators state estimation delays time-varying systems uncertain systems vehicle dynamics control system synthesis asymptotic stability actual state values considered vehicle model nonfragile reliable control design method formulated LMI-based conditions vehicle rollover critical situations nonfragile controller state estimation vehicle dynamics input delay actuator faults state estimator-based nonfragile reliable control design extended dissipative theory input time delay Takagi-Sugeno fuzzy model sufficient conditions T-S fuzzy control system estimated state values

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nonfragile Finite-Time Synchronization for Coupled Neural Networks With Impulsive Approach

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IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 2020年第11期31卷 4980-4989页

作者： Rao, Hongxia Guo, Yuru Xu, Yong Liu, Chang Lu, Renquan Guangdong Univ Technol Sch Automat Guangdong Prov Key Lab Intelligent Decis & Cooper Guangzhou 510006 Peoples R China

This article addresses the problem of the average stochastic finite-time synchronization (ASFTS) for a set of coupled neural networks (NNs) with energy-bounded noises. Due to the channel capacity constraint, the impulsive approach is introduced so as to cut down the communication times among the leader NNs and the follower NNs. Then, a nonfragile controller is designed to improve the robustness of the controller with randomly occurred uncertainty. The sufficient conditions that guarantee the ASFTS of the coupled NNs and the leader NNs are achieved. The boundary of the synchronization error is also obtained by constructing the monotonic increasing functions. Finally, the controller gains are given based on the derived conditions, and their effectiveness is illustrated by a numerical example.

关键词： Artificial neural networks Synchronization Couplings Robustness Learning systems Biological neural networks Stochastic processes Finite-time boundedness impulsive control neural networks (NNs) nonfragile controller synchronization

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nonfragile and Nonsynchronous Synthesis of Reachable Set for Bernoulli Switched Systems

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IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS 2020年第2期50卷 726-731页

作者： Che, Wei-Wei Su, Hongye Shi, Peng Wu, Zheng-Guang Shenyang Univ Sch Key Lab Mfg Ind Integrated Shenyang 110044 Peoples R China Zhejiang Univ Inst Cyber Syst & Control Natl Lab Ind Control Technol Hangzhou 310027 Peoples R China Univ Adelaide Sch Elect & Elect Engn Adelaide SA 5005 Australia Victoria Univ Coll Engn & Sci Melbourne Vic 8001 Australia

In this paper, the problems of nonfragile and nonsynchronous synthesis for Bernoulli switched systems are studied. The disturbances in the systems are assumed to have bounded peak in the sense of mean square. With the interval additive gain variations consideration, a nonfragile and nonsynchronous controller is designed subject to a nonsynchronous assumption that the switching signals of the system are not accurately gained for synthesis. A sufficient condition that is dependent on the known sojourn probabilities of switching signals is proposed to ascertain the reachable set of the closed-loop system, which is a hidden Bernoulli model, mean square contained in an ellipsoid-like set. Several nonfragile and nonsynchronous controllers are parameterized to guarantee the corresponding requirements to be satisfied for the closed-loop systems. The effectiveness and advantages of the proposed new design techniques are illustrated by a numerical simulation example.

关键词： Switches Switched systems Symmetric matrices Closed loop systems Estimation Cybernetics Bounded disturbances nonfragile controller nonsynchronous controller reachable set switched systems

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nonfragile H_∞ Control for Fuzzy Markovian Jump Systems Under Fast Sampling Singular Perturbation

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IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS 2018年第12期48卷 2058-2069页

作者： Shen, Hao Men, Yunzhe Wu, Zheng-Guang Park, Ju H. Anhui Univ Technol Sch Elect & Informat Engn Maanshan 243002 Peoples R China Zhejiang Univ Inst Cyber Syst & Control Natl Lab Ind Control Technol Hangzhou 310027 Zhejiang Peoples R China Yeungnam Univ Dept Elect Engn Gyongsan 38541 South Korea

This paper is concerned with the nonfragile H-infinity control problem for discrete-time fast sampling Markovian jump singularly perturbed nonlinear systems described by the Takagi-Sugeno fuzzy model. By utilizing singular perturbation theory, a singular perturbation parameter (SPP) independent, i.e., is an element of-independent, condition is derived to make sure the underlying closed-loop system's stability and a mixed H-infinity and passive performance gamma, simultaneously. The ill-conditioned case caused by SPP could be eliminated on the basis of such a condition. With the aid of the stochastic analysis approach, the desired controller gains can be obtained, where the nonfragile property is fully considered to improve the tolerance of controller. Furthermore, a technique is developed to estimate the upper bound of SPP is an element of in this paper by employing a useful inequality. The availability and practicability of the proposed design method are finally explained via a practical example of a tunnel diode circuit with a modified model and a numerical example.

关键词： Fuzzy Markovian jump systems mixed H-infinity and passive control nonfragile controller singularly perturbed systems (SPSs)

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nonfragile stabilization for uncertain system with interval time-varying delays via a new double integral inequality

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MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2018年第16期41卷 6272-6287页

作者： Samidurai, R. Sriraman, R. Cao, Jinde Tu, Zhengwen Thiruvalluvar Univ Dept Math Vellore 632115 Tamil Nadu India Southeast Univ Sch Math Nanjing 210096 Jiangsu Peoples R China Southeast Univ Res Ctr Complex Syst & Network Sci Nanjing 210096 Jiangsu Peoples R China Chongqing Three Gorges Univ Sch Math & Stat Wanzhou 404100 Peoples R China Chongqing Three Gorges Univ Chongqing Engn Res Ctr Internet Things & Intellig Wanzhou 404100 Peoples R China

In this paper, the problem of nonfragile stabilization for uncertain systems with interval time-varying delays via new double integral inequality approach is studied. Based on the auxiliary function-based integral inequality, a new double integral inequality is developed in this literature. Then, to prove the potency of the proposed inequality, some less conservative stability conditions are derived with the help of Lyapunov-Krasovskii functional and linear matrix inequality technique. Three benchmark illustrative examples are delivered with simulations to validate the effectiveness and advantages of present results.

关键词： integral inequalities Lyapunov functions nonfragile controller stabilization

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nonfragile Fuzzy Output Feedback Synchronization of a New Chaotic System: Design and Implementation

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JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS 2018年第1期13卷 011008-011008页

作者： Azarang, A. Miri, M. Kamaei, S. Asemani, M. H. Shiraz Univ Sch Elect & Comp Engn Dept Commun & Elect Engn Shiraz *** Iran Shiraz Univ Sch Elect & Comp Engn Dept Power & Control Engn Shiraz *** Iran

A new three-dimensional (3D) chaotic system is proposed with four nonlinear terms which include two quadratic terms. To analyze the dynamical properties of the new system, mathematical tools such as Lyapunov exponents (LEs), Kaplan-York dimensions, observability constants, and bifurcation diagram have been exploited. The results of these calculations verify the specific features of the new system and further determine the effect of different system parameters on its dynamics. The proposed system has been experimentally implemented as an analog circuit which practically confirms its predicted chaotic behavior. Moreover, the problem of master-slave synchronization of the proposed chaotic system is considered. To solve this problem, we propose a new method for designing a nonfragile Takagi-Sugeno (T-S) fuzzy static output feedback synchronizing controller for a general chaotic T-S system and applied the method to the proposed system. Some practical advantages are achieved employing the new nonlinear controller as well as using system output data instead of the full-state data and considering gain variations because of the uncertainty in values of practical components used in implementation the controller. Then, the designed controller has been realized using analog devices to synchronize two circuits with the proposed chaotic dynamics. Experimental results show that the proposed nonfragile controller successfully synchronizes the chaotic circuits even with inexact analog devices.

关键词： chaotic system T-S fuzzy controller nonfragile controller synchronization Kaplan-York dimensions circuit implementation

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