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American Control Conference 2006

作者： Boukas, E. K. El-Hajjaji, A. Ecole Polytech Dept Mech Engn POB 6079Stn Ctr Ville Montreal PQ H3C 3A7 Canada Univ Picardie Jules Verne Fac Math & Comp Sci CREA F-80000 Amiens France

ISBN: (纸本)1424402093

This paper deals with the class of continuous-time uncertain stochastic fuzzy systems with norm bounded uncertainties. A model-based fuzzy stabilization design utilizing the concept of the so-called parallel distributed compensation (PDC) is employed to stochastically stabilize the class of systems under consideration. LMI-based sufficient conditions are developed to synthesize the state feedback controller that stochastically stabilizes either the nominal system or the uncertain one. A numerical example is provided to show the effectiveness of the proposed results.

关键词： stochastic fuzzy systems linear matrix inequality quadratic stability stabilizability parallel distributed compensation

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Observer-based controller for stochastic fuzzy systems

Observer-based controller for stochastic fuzzy systems

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45th IEEE Conference on Decision and Control

作者： Boukas, E. K. Ecole Polytech Dept Mech Engn Montreal PQ H3C 3A7 Canada

ISBN: (纸本)9781424401703

This paper deals with the class of continuous-time stochastic fuzzy systems. A model-based fuzzy observer-based control stabilization design utilizing the concept of the so-called parallel distributed compensation (PDC) is employed to stochastically stabilize the class of systems under consideration. LMI-based sufficient conditions are developed to synthesize the observer and the state feedback controller that stochastically stabilizes the stochastic fuzzy system. A numerical example is provided to show the effectiveness of the proposed results.

关键词： stochastic fuzzy systems linear matrix inequality quadratic stability stabilizability parallel distributed compensation

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Stability analysis and synthesis of fuzzy singularly perturbed systems

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IEEE TRANSACTIONS ON FUZZY SYSTEMS 2005年第2期13卷 273-284页

作者： Liu, HP Sun, FC Sun, ZQ Tsinghua Univ Dept Comp Sci & Technol State Key Lab Intelligent Technol & Syst Beijing 100084 Peoples R China

In this paper, we investigate the stability analysis and synthesis problems for both continuous-time and discrete-time fuzzy singularly perturbed systems. For continuous-time case, both the stability analysis and synthesis can be parameterized in terms of a set of linear matrix inequalities (LMIs). For discrete-time case, only the analysis problem can be cast in LMIs, while the derived stability conditions for controller design are nonlinear matrix inequalities (NMIs). Furthermore, a two-stage algorithm based on LMI and iterative LMI (ILMI) techniques I'S developed to solve the resulting NMIs and the stabilizing feedback controller gains can be obtained. For both continuous-time and discrete-time cases, the reduced-control law, which is only dependent on the slow variables, is also discussed. Finally, an illustrated example based on the flexible joint inverted pendulum model is given to illustrate the design procedures.

关键词： fuzzy systems linear matrix inequalities (LMIs) parallel distributed compensation singular perturbations

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Anticontrol of chaos for a continuous-time Takagi-Sugeno fuzzy system via local time-delay feedback

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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 2005年第12期15卷 3883-3894页

作者： Kim, TR Hoon, YH Park, JB Chen, GR City Univ Hong Kong Dept Elect Engn Kowloon Hong Kong Peoples R China Kunsan Natl Univ Sch Elect & Informat Engn Kunsan 573701 Chonbuk South Korea Yonsei Univ Dept Elect & Elect Engn Seoul 120749 South Korea

In this paper, a simple and systematic control design method is proposed for making a continuous-time Takagi-Sugeno (T-S) fuzzy system chaotic. The concept of parallel distributed compensation is employed to determine the structure of a fuzzy controller from a T-S fuzzy model. The fuzzy controller makes the T-S fuzzy model, which could be stable or unstable, bounded and chaotic. The verification of chaos in the closed-loop T-S fuzzy system is done by the following procedure. First, we establish an asymptotically approximate relationship between a continuous-time T-S fuzzy system with time-delay and a discrete-time T-S fuzzy system. Then, we verify the chaos in the closed-loop T-S fuzzy system by applying the Marotto theorem to its associated discrete-time T-S fuzzy system. The generated chaos is in the sense of Li and Yorke. Two examples are given to show that this methodology is simple and effective for anticontrol of chaos for a continuous-time T-S fuzzy system.

关键词： fuzzy chaos anticontrol chaotification local time delay parallel distributed compensation

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TP transformation based dynamic system modeling for nonlinear control

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IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT 2005年第6期54卷 2191-2203页

作者： Baranyi, P Várkonyi-Kóczy, AR Hungarian Acad Sci Comp & Automat Res Inst H-1111 Budapest Hungary Integrated Intelligent Syst Japanese Hunagarian Lab H-1111 Budapest Hungary

The aim of this paper is to propose a numerical controller design methodology. This methodology is based on two steps. In the first step, the tensor product (TP) model transformation is applied, which is capable of transforming a given nonlinear state-space dynamic model into TP model form. Then, in the second step, the linear matrix inequality (LMI) theorems are used within the parallel distributed compensation (PDC) controller design frameworks. The main novelty of this paper is the TP model transformation of the first step. It is also capable of dealing with the tradeoff between complexity and accuracy of the resulting TP model. The TP model transformation is a numerical method that leads to the following advantages: it is capable of functioning with models given either by analytic explicit forms or by various soft-computing based identification techniques;it does not need problem dependent analytic derivations, but can be executed "automatically" by computers. Numerical simulations are used to provide empirical validation of the proposed control design methodology. In order to demonstrate the effectiveness of the TP model transformation a controller is derived for the prototypical aeroelastic wing section that exhibits limit cycle oscillation and chaotic behavior.

关键词： linear matrix inequality nonlinear control design parallel distributed compensation tensor product (TP) model

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An efficient projection method to stability issues of fuzzy systems

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INTERNATIONAL JOURNAL OF COMPUTER APPLICATIONS IN TECHNOLOGY 2005年第2期24卷 75-82页

作者： Huang, Chih-Peng Juang, Yau-Tarng Natl Cent Univ Dept Elect Engn Chungli Taiwan

This paper deals with the stability issues for a class of nonlinear systems described in the Takagi-Sugeno's (T-S) fuzzy model. Based on the alternating projection method, first we propose an efficient projection algorithm for stability analysis. By involving the controller, the design method for the resulting closed-loop system is further investigated. Some numerical examples are given to demonstrate the validity of the proposed methods. The design strategy is verified by the problem of balancing and swing-up of an inverted pendulum on a car.

关键词： nonlinear system fuzzy control T-S fuzzy model stability parallel distributed compensation

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Global asymptotic stabilization of the prototypical aeroelastic wing section via TP model transformation

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ASIAN JOURNAL OF CONTROL 2005年第2期7卷 99-111页

作者： Baranyi, P Korondi, P Hashimoto, H Hungarian Acad Sci Comp & Automat Res Inst H-1111 Budapest Hungary Univ Technol & Econ Integrated Intelligent Syst Japanese Hungarian Lab H-1111 Budapest Hungary

A comprehensive analysis of aeroelastic systems has shown that these systems exhibit a broad class of pathological response regimes when certain types of non-linearities are included. In this paper, we propose a design method of a state-dependent non-linear controller for aeroelastic systems that includes polynomial structural non-linearities. The proposed method is based on recent numerical techniques such as the Tensor Product (TP) model transformation and the Linear Matrix Inequality (LMI) control design methods within the parallel. distributed compensation (PDC) frameworks. In order to link the TP model transformation and the LMI's in the proposed design method, we extend the TP model transformation with a further transformation. As an example, a controller is derived that ensures the global asymptotic stability of the prototypical aeroelastic wing section via one control surface, in contrast with previous approaches which have achieved local stability or applied additional control actuator on the purpose of achieving global stability. Numerical simulations are used to provide empirical validation of the control results. The effectiveness of the controller design is compared with a former approach.

关键词： aeroelasticity tensor product model transformation linear matrix inequality parallel distributed compensation

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A projection approach to stability analysis and design of fuzzy systems

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IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS 2003年第6期33卷 766-771页

作者： Huang, CP Juang, YT Natl Cent Univ Dept Elect Engn Chungli 32054 Taiwan

The stability analysis and design of the systems, described in Takagi-Sugeno's (TS) fuzzy model, are discussed in this correspondence. Based on the alternating projection method, the stability issue can be extended to a prescribed stability region. And the projection algorithm is proposed for assuring the desired stability. By involving the controller, we further introduce the design issues for the closed-1oop system. Some numerical examples are given to demonstrate the validity and feasibility.

关键词： fuzzy system parallel distributed compensation pole assignment stability TS fuzzy model

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l_∞-based stability criteria and its applications on FLC systems

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FUZZY SETS AND SYSTEMS 2003年第1期139卷 35-57页

作者： Liao, DZ Yeung, LF ASM Assembly Automat Ltd R&D Hong Kong Peoples R China City Univ Hong Kong Dept Elect Engn Hong Kong Peoples R China

In this paper, a new stability analysis and design method for the fuzzy logical systems described by the Takagi-Sugeno model is proposed. The proposed fuzzy controller is implemented by a parallel distributed compensation structure. The closed-loop system can be expressed as a linear time-variant system. A minimum transition matrix set can be determined by the fuzzy rule structure, so that it contains the transition matrices of the closed-loop system. Thus the stability of the system defined over the set is sufficient to ensure the stability of the closed-loop system. A common l(infinity) Lyapunov function method is employed for the stability analysis of the system defined over the transition matrix set. It is proved that the existence of the l(infinity) Lyapunov function is the sufficient and necessary stability condition of the system defined over the transition matrix set. Thus the l(infinity) Lyapunov function can be applied to more cases than quadratic Lyapunov functions. A convenient stability criterion based on l(infinity) Lyapunov function is also given in this paper. By using geometric properties of l(infinity) Lyapunov functions, an iterative algorithm is introduced to construct the required 1, Lyapunov function. (C) 2002 Elsevier B.V. All rights reserved.

关键词： fuzzy system stability analysis Lyapunov function variable structure control theory parallel distributed compensation

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Decentralized stabilization of fuzzy large-scale systems

Decentralized stabilization of fuzzy large-scale systems

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39th IEEE Conference on Decision and Control

作者： Hsiao, FH Hwang, JD Shiau, LG Chang Gung Univ Dept Elect Engn Kwei San 333 Taoyuan Shian Taiwan

ISBN: (纸本)0780366387

A stability criterion in terms of Lyapunov's direct method is derived in this paper to guarantee the asymptotic stability of fuzzy large-scale systems. Based on this criterion and the decentralized control scheme, a set of fuzzy controllers is synthesized via the technique of parallel distributed compensation (PDQ to stabilize a fuzzy large-scale system which consists of a few interconnected subsystems represented by Takagi-Sugeno (T-S) fuzzy models. Finally, a numerical example with simulations is given to illustrate the results.

关键词： large-scale systems T-S fuzzy models parallel distributed compensation

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