• 제목/요약/키워드: fuzzy Lyapunov

검색결과 248건 처리시간 0.019초

파라미터 불확실성을 갖는 시간지연 비선형시스템의 지연종속 퍼지 $H_{\infty}$ 제어 (Delay dependent fuzzy $H_{\infty}$ control of delayed nonlinear systems with parameter uncertainty)

  • 이갑래;김태식;이해창
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.110-113
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    • 2004
  • A delay dependent fuzzy $H_{\infty}$ controller design method for delayed nonlinear systems with parameter uncertainty is considered. Using delay-dependent Lyapunov function the asymptotical stability and $H_{\infty}$n performance problem :are discussed. A sufficient condition for the existence of fuzzy controller is presented in terms of linear matrix inequalities(LMIs). A simulation example through radar gimbal system is given to illustrate the design procedures and performances of the prosed methods.

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A MATHEMATICAL MODEL OF A PREY-PREDATOR TYPE FISHERY IN THE PRESENCE OF TOXICITY WITH FUZZY OPTIMAL HARVESTING

  • PAL, D.;MAHAPATRA, G.S.;MAHATO, S.K.;SAMANTA, G.P.
    • Journal of applied mathematics & informatics
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    • 제38권1_2호
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    • pp.13-36
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    • 2020
  • In this paper, we have presented a multispecies prey-predator harvesting system based on Lotka-Voltera model with two competing species which are affected not only by harvesting but also by the presence of a predator, the third species. We also assume that the two competing fish species releases a toxic substance to each other. We derive the condition for global stability of the system using a suitable Lyapunov function. The possibility of existence of bionomic equilibrium is considered. The optimal harvest policy is studied and the solution is derived under imprecise inflation in fuzzy environment using Pontryagin's maximal principle. Finally some numerical examples are discussed to illustrate the model.

헬리콥터 시스템의 퍼지 분산 제어기 설계 (A Decentralized Fuzzy Controller for Experimental Nonlinear Helicopter Systems)

  • 김문환;이호재;박진배;차대범;주영훈
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
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    • pp.141-144
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    • 2001
  • This paper proposes a decentralized control technique for 2-dimensional experimental helicopter systems. The decentralized control technique is especially suitable in large-scale control systems. We derive the stabilization condition for the interconnected Takagi-Sugeno (75) fuzzy system using the rigorous tool - Lyapunov stability criterion and formulate the controller design condition in terms of linear matrix inequality (LMI). To demonstrate the feasibility of the proposed method, we include the experiment result as well as a computer simulation one, which strongly convinces us the applicability to the industry.

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퍼지뉴럴 네트워크를 이용한 불확실한 비선형 시스템의 출력 피드백 강인 적응 제어 (Robust Adaptive Output Feedback Controller Using Fuzzy-Neural Networks for a Class of Uncertain Nonlinear Systems)

  • 황영호;이은욱;김홍필;양해원
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 학술회의 논문집 정보 및 제어부문 A
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    • pp.187-190
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    • 2003
  • In this paper, we address the robust adaptive backstepping controller using fuzzy neural network (FHIN) for a class of uncertain output feedback nonlinear systems with disturbance. A new algorithm is proposed for estimation of unknown bounds and adaptive control of the uncertain nonlinear systems. The state estimation is solved using K-fillers. All unknown nonlinear functions are approximated by FNN. The FNN weight adaptation rule is derived from Lyapunov stability analysis and guarantees that the adapted weight error and tracking error are bounded. The compensated controller is designed to compensate the FNN approximation error and external disturbance. Finally, simulation results show that the proposed controller can achieve favorable tracking performance and robustness with regard to unknown function and external disturbance.

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시변지연을 가지는 TS퍼지시스템을 위한 견실 시간종속 안정성판별법 (Robust Delay-dependent Stability Criteria for Takagi-Sugeno Fuzzy Systems with Time-varying Delay)

  • 유아연;이상문;권오민
    • 전기학회논문지
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    • 제64권6호
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    • pp.891-899
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    • 2015
  • This paper presents the robust stability condition of uncertain Takagi-Sugeno(T-S) fuzzy systems with time-varying delay. New augmented Lyapunov-Krasovskii function is constructed to ensure that the system with time-varying delay is globally asymptotically stable. Also, less conservative delay-dependent stability criteria are obtained by employing some integral inequality, reciprocally convex approach and new delay-partitioning method. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

샘플치-데이터 퍼지 시스템의 안정도 분석 (Stability Analysis of Sampled-Data Fuzzy System)

  • 김도완;이호재;주영훈;박진배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 제37회 하계학술대회 논문집 D
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    • pp.2085-2086
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    • 2006
  • This paper addresses the problem of stability analysis and control synthesis of a digital fuzzy control systems. The authors shows that the stability properties (in the Lyapunov sense) of a digital fuzzy control system can be deduced from the stability properties of the its approximate discretization in the sufficiently small sampling time.

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퍼지규칙에 의한 직/간접 혼합 신경망 적응제어시스템의 설계 (Design of Combined Direct/Indirect Adaptive Neural Control System using Fuzzy Rule)

  • 장순용;최재석;이순영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 B
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    • pp.724-727
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    • 1999
  • In this paper, the direct and indirect neural adaptive controller are combined based on the Lyapunov synthesis approach. The proposed adaptive controller is constructed from RBF neural network and a set of fuzzy IF-THEN rules. And the weighting parameters are adjusted on-line according to some adaptation law for the purpose of controlling the plant to track a given trajectory. In this scheme, fuzzy IF-THEN rules are used to decide the combined weighting factor. It is shown that all the signals in the closed-loop system are uniformly bounded under mild assumptions. The effectiveness of the proposed control scheme is demonstrated through the control of one-link rigid robotics manipulator.

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EXISTENCE AND GLOBALLY EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF IMPULSIVE FUZZY BAM NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS

  • Zhang, Qianhong;Yang, Lihui;Liao, Daixi
    • Journal of applied mathematics & informatics
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    • 제30권5_6호
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    • pp.1031-1049
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    • 2012
  • In this paper, a class of impulsive fuzzy bi-directional associative memory (BAM) neural networks with distributed delays and variable coefficients are considered. Using Lyapunov functional method and fixed point theorem, we derived some sufficient conditions for the existence and globally exponential stability of unique periodic solution of the networks. The results obtained are new and extend the previous known results. In addition, an example is given to show the effectiveness of our results obtained.

마찰변수 관측기와 적응순환형 퍼지신경망을 이용한 PMLSM의 강인한 위치제어 (Robust Position Control for PMLSM Using Friction Parameter Observer and Adaptive Recurrent Fuzzy Neural Network)

  • 한성익;여대언;김새한;이권순
    • 한국생산제조학회지
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    • 제19권2호
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    • pp.241-250
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    • 2010
  • A recurrent adaptive model-free intelligent control with a friction estimation law is proposed to enhance the positioning performance of the mover in PMLSM system. For the PMLSM with nonlinear friction and uncertainty, an adaptive recurrent fuzzy neural network(ARFNN) and compensated control law in $H_{\infty}$ performance criterion are designed to mimic a perfect control law and compensate the approximated error between ideal controller and ARFNN. Combined with friction observer to estimate nonlinear friction parameters of the LuGre model, on-line adaptive laws of the controller and observer are derived based on the Lyapunov stability criterion. To analyze the effectiveness our control scheme, some simulations for the PMLSM with nonlinear friction and uncertainty were executed.

Adaptive Model Reference Control Based on Takagi-Sugeno Fuzzy Models with Applications to Flexible Joint Manipulators

  • Lee, Jongbae;Lim, Joon-hong;Park, Chang-Woo;Kim, Seungho
    • Journal of Mechanical Science and Technology
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    • 제18권3호
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    • pp.337-346
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    • 2004
  • The control scheme using fuzzy modeling and Parallel Distributed Compensation (PDC) concept is proposed to provide asymptotic tracking of a reference signal for the flexible joint manipulators with uncertain parameters. From Lyapunov stability analysis and simulation results, the developed control law and adaptive law guarantee the boundedness of all signals in the closed-loop multi-input/multi-output system. In addition, the plant state tracks the state of the reference model asymptotically with time for any bounded reference input signal.