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Stable Fault Tolerant Controller Design for Takagi-Sugeno Fuzzy Model-Based Control Systems via Linear Matrix Inequalities: Three Conical Tank Case Study

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ENERGIES 2019年第11期12卷 2221页

作者： Patel, Himanshukumar R. Shah, Vipul A. Dharmsinh Desai Univ Fac Technol Dept Instrumentat & Control Nadiad 387001 Gujarat India

This paper deals with a methodical design approach of fault-tolerant controller that gives assurance for the the stabilization and acceptable control performance of the nonlinear systems which can be described by Takagi-Sugeno (T-S) fuzzy models. Takagi-Sugeno fuzzy model gives a unique edge that allows us to apply the traditional linear system theory for the investigation and blend of nonlinear systems by linear models in a different state space region. The overall fuzzy model of the nonlinear system is obtained by fuzzy combination of the all linear models. After that, based on this linear model, we employ parallel distributed compensation for designing linear controllers for each linear model. Also this paper reports of the T-S fuzzy system with less conservative stabilization condition which gives decent performance. However, the controller synthesis for nonlinear systems described by the T-S fuzzy model is a complicated task, which can be reduced to convex problems linking with linear matrix inequalities (LMIs). Further sufficient conservative stabilization conditions are represented by a set of LMIs for the Takagi-Sugeno fuzzy control systems, which can be solved by using MATLAB software. Two-rule T-S fuzzy model is used to describe the nonlinear system and this system demonstrated with proposed fault-tolerant control scheme. The proposed fault-tolerant controller implemented and validated on three interconnected conical tank system with two constraints in terms of faults, one issed to build the actuator and sond is system component (leak) respectively. The MATLAB Simulink platform with linear fuzzy models and an LMI Toolbox was used to solve the LMIs and determine the controller gains subject to the proposed design approach.

关键词： actuator fault fuzzy control linear matrix inequalities T-S model-based fuzzy control parallel distributed compensation stability condition system component fault three conical tank Takagi-Sugeno fuzzy model

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H ∞ Control for T–S Fuzzy System via Delayed State Feedback: Application to Two-Link Robotic System ⁎

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IFAC-PapersOnLine 2022年第1期55卷 777-782页

作者： Rupak Datta Rajeeb Dey Nabanita Adhikari Jason Gu Umar Farooq Muhammad Usman Asad Department of Electrical Engineering National Institute of Technology Silchar 788010 India Department of Electrical & Computer Engineering Dalhousie University Halifax Canada

This paper introduces a fuzzy control design method for nonlinear systems with H ∞ performance index. First, the Takagi–Sugeno (T–S) fuzzy model is employed to represent a nonlinear system. Next, based on the fuzzy model, a parallel distributed compensation (PDC) based delayed fuzzy controller is developed. The advantage of the proposed control design is that only a simple fuzzy controller is used in our approach without the feedback linearization technique. By constructing a suitable Lyapunov–Krasovskii functional (LKF) and using the Wirtinger-based inequality method, the proposed fuzzy control problem is designed in terms of linear matrix inequality (LMI) problem. Finally, the simulation result is presented to show the effectiveness of the proposed condition.

关键词： Fuzzy control Takagi–Sugeno fuzzy model parallel distributed compensation Lyapunov–Krasovskii functional Linear matrix inequality

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Type III Fuzzy Impulsive Controller Based on PDC

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IFAC Proceedings Volumes 2011年第1期44卷 8749-8753页

作者： I. Zamani M. Shafiee Electrical Engineering Department Amirkabir University of Technology (Tehran Polytechnic) Tehran Iran

Abstract This paper investigates an approach for the stabilization of continuous-time type III (Takagi-Sugeno-Kang) fuzzy system based on impulsive parallel distributed compensation (PDC). Based on the Lyapunov criterion, some conditions are derived to stabilize type III fuzzy systems. These conditions are given in term of some matrix inequalities.

关键词： Impulsive T-S Fuzzy Systems parallel distributed compensation Stability Analysis Asymptotically Stability Matrix Inequality

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State Dependant Anytime Control Methodology for Non-Linear Systems

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JOURNAL OF ADVANCED COMPUTATIONAL INTELLIGENCE AND INTELLIGENT INFORMATICS 2008年第2期12卷 198-205页

作者： Varkonyi-Koczy, Annamaria R. Budapest Univ Technol & Econ Dept Measurement & Informat Syst Magyar Tudosok Korutja 2 H-1521 Budapest Hungary

Nowadays in solving control problems the processing is performed typically by model-based computer systems, which contain a representation of our knowledge about the nature and the actual circumstances of the problem in hand. If the nature and/or the actual circumstances change, the corresponding model should also be changed. Anytime techniques are very flexible in this respect and can advantageously be used when the operation should be performed under changing circumstances. In this paper, a nonlinear state dependant control methodology is proposed for anytime use and as an example is applied to globally stabilize a given prototypical aeroelastic wing section via one control surface.

关键词： nonlinear control anytime systems multiple models parallel distributed compensation aeroelastic wing section

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Nonlinear System H_∞ Fuzzy Control within Takagi-Sugeno Framework

Nonlinear System H_∞ Fuzzy Control within Takagi-Sugeno Fra...

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International Conference on Process Control

作者： A. Filasova V. Hladky D. Krokavec Technical University of Kosice Faculty of Electrical Engineering and Informatics Department of Cybernetics and Artificial Intelligence

ISBN: (纸本)9781479909261

The paper deals with the problem of constrained H_∞ fuzzy control for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. On the basis of the Lyapunov stability criterion and H_∞ norm performances, the sufficient conditions of stabilization are outlined and adjusted for systems operating in a forced mode. Numerical simulation is given to illustrate the design procedure and to validate the performances of the proposed approach.

关键词： Takagi-Sugeno models Fuzzy control parallel distributed compensation Linear matrix inequalities Convex optimization

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Robust Control of T-S fuzzy systems with Time-varying delay:New approach

Robust Control of T-S fuzzy systems with Time-varying delay:...

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Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference

作者： Hamdi Gassara Ahmed El Hajjaji Mohamed Chaabane Modeling Information and Systems LaboratoryUniversity of Picardie Jules VerneMIS the Department of Electrical Engineering Research Unit of Automatic ControlNational School of Engineering of SfaxUniversity of Sfax

This paper aims to design a controller to robustly stabilize uncertain nonlinear systems with time-varying delay and norm bounded uncertainties via Takagi-Sugeno(T-S) fuzzy *** stabilization conditions are given in the form of Linear Matrix Inequalities using a single Lyapunov-Krasovskii Functional(LKF) combining the introduction of some relaxation matrices and only one tuning *** comparison with the existing techniques in the literature,the proposed approach gives two great *** first one is the reduction of computational complexity when the number of IFTHEN rules,r,is *** second one concerns the conservatism *** example is given to show the effectiveness and the merits of the design procedure.

关键词： LMIs Linear Matrix Inequalities PDC parallel distributed compensation LKF Lyapunov-Krasovskii Functional T-S Takagi-Sugeno

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Fuzzy controller design for singular affine T-S fuzzy models

Fuzzy controller design for singular affine T-S fuzzy models

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SICE Annual Conference

作者： Wen-Jer Chang Jian-Hon Sie Cheung-Chieh Ku Department of Marine Engineering National Taiwan Ocean University Keelung Taiwan Department of Electrical Engineering National Taiwan Ocean University Keelung Taiwan

ISBN: (纸本)9784907764302

This paper presents a fuzzy controller design method for the singular nonlinear systems with perturbations via singular affine Takagi-Sugeno (T-S) fuzzy models. The parallel distributed compensation (PDC) technique is applied to design this fuzzy controller for the singular affine T-S fuzzy model. However, the derived stability conditions with the fuzzy controller are bilinear matrix inequality (BMI) problems which cannot be calculated by the optimal convex programming algorithm of linear matrix inequality (LMI) method directly. In order to solve the present design problem, the BMI problems must be transferred into the LMI problems. Hence, an iterative linear matrix inequality (ILMI) algorithm is developed to find the feasible solutions for the stability conditions. Finally, a numerical example is provided to demonstrate the applications and effectiveness of the proposed fuzzy control approach.

关键词： Singular affine T-S fuzzy models parallel distributed compensation Iterative linear matrix inequality fuzzy controller design linear matrix inequalities Interim Local Management Interface Singular Affine In-law FUZZY CONTROLLER Fuzzy shunt compensation Nonlinear systems numerical example

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Synchronization of chaotic systems via fuzzy sliding mode controller

Synchronization of chaotic systems via fuzzy sliding mode co...

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2011 Chinese Control and Decision Conference（CCDC）

作者： Zhaona Chen is with Faculty of Information and Control Engineering,Liaoning Shihua University,Fushun,Liaoning,113001,P.R.of China.Yong Fu is with Faculty of Metallurgy Automation,Shenyang Aluminum & Magnesium Engineering & Research Institute,Shenyang,Liaoning,110001,P.R.of China.Yuanwei Jing is with Faculty of Information Science and Engineering,Northeastern University,Shenyang,Liaoning,110004,P.R.of China.

This paper investigates a robust fuzzy sliding mode control (FSMC) for the synchronization of chaotic *** using Lyapunov function the sliding surfaces are proposed for the chaotic system which is express by T-S fuzzy *** design is based on the concept of parallel distributed compensation (PDC).The designed sliding mode controller such that the global system confined on the sliding surfaces is asymptotically *** proposed controller can guarantee asymptotical synchronization of both drive and response ***,the corresponding numerical simulation results demonstrate the effectiveness of the proposed schemes.

关键词： Fuzzy sliding mode control Synchronization parallel distributed compensation T-S fuzzy model

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Synchronization of chaotic systems via fuzzy sliding mode controller

Synchronization of chaotic systems via fuzzy sliding mode co...

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2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)

作者： Zhaona Chen Yong Fu Yuanwei Jing Faculty of Information and Control Engineering Liaoning Shihua University Fushun Liaoning 113001 Faculty of Metallurgy Automation Shenyang Aluminum & Magnesium Engineering & Research Institute Sh Faculty of Information Science and Engineering Northeastern University Shenyang Liaoning 110004

This paper investigates a robust fuzzy sliding mode control (FSMC) for the synchronization of chaotic systems. By using Lyapunov function the sliding surfaces are proposed for the chaotic system which is express by T-S fuzzy model. The design is based on the concept of parallel distributed compensation (PDC). The designed sliding mode controller such that the global system confined on the sliding surfaces is asymptotically stable. The proposed controller can guarantee asymptotical synchronization of both drive and response systems. Finally, the corresponding numerical simulation results demonstrate the effectiveness of the proposed schemes.

关键词： Fuzzy sliding mode control Synchronization parallel distributed compensation T-S fuzzy model

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Complete synchronization between two identical discrete-time 2D hyperchaotic maps via fuzzy method

Complete synchronization between two identical discrete-time...

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International Conference on Educational and Information Technology (ICEIT)

作者： Lihua Miao Yusheng Li Xiaoyan Shen Fusheng Song Fundamental Teaching Department of Computer Mathematics and Physics Shenyang Medical College Shenyang China Department of Automatic Control Engineering Shenyang Institute of Engineering Shenyang China

ISBN: (纸本)9781424480333

In this paper, a novel fuzzy synchronization method is proposed to synchronize two identical discrete-time 2D hyperchaotic maps. Firstly, the T-S fuzzy model of the considered discrete-time 2D hyperchaotic map is constructed. The simple T-S fuzzy model with four IF-THEN rules can represent the hyperchaotic map accurately. Then, according to the PDC technique, a simple fuzzy state feedback controller is designed. By choosing appropriate controller gain matrices, the complete synchronization can be reached. Finally, simulation results are given to verify the effectiveness of the proposed fuzzy synchronization method.

关键词： 2D hyperchaotic map T-S fuzzy control complete synchronization parallel distributed compensation fuzzy method T-S fuzzy model discrete-time maps Simulation results shunt compensation Fuzzy Identical fuzzy modeling

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