• Title/Summary/Keyword: Takagi-Sugeno Fuzzy model

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The Design of Membership-function-dependent Observer-based Controller Using Takagi-Sugeno Fuzzy Model (소속함수 의존성을 이용한 Takagi-Sugeno 퍼지 시스템의 관측기 기반 제어기 설계)

  • Kim, Ho-Jun;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1758-1759
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    • 2011
  • 본 논문은 비선형 시스템의 소속함수 의존성을 이용한 관측기 기반 퍼지 제어기 설계 기법을 제시한다. Takage-Sugeno (T-S)퍼지 모델링을 이용해 비선형 시스템을 퍼지 모델로 표현한다. 시스템의 안정화 조건은 소속함수의 의존성을 이용한 리아푸노프 안정도 해석 방법을 이용해 유도된다. 안정화 조건은 선형 행렬 부등식으로 표현되며, 부등식의 해를 이용해 제어기의 이득값을 구한다. 모의실험을 통해 설계된 제어기의 타당성을 검증한다.

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Takagi-Sugeno Fuzzy Model-based Iterative Learning Control Systems: A Two-dimensional System Theory Approach

  • Chu, Jun-Uk;Lee, Yun-Jung
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.169.3-169
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    • 2001
  • This paper introduces a new approach to analysis of error convergence for a class of iterative learning control systems. First, a nonlinear plant is represented using a Takagi-Sugeno(T-S) fuzzy model. Then each iterative learning controller is designed for each linear plant in the T-S fuzzy model. From the view point of two-dimensional(2-D) system theory, we transform the proposed learning systems to a 2-D error equation, which is also established in the form of T-S fuzzy model. We analysis the error convergence in the sense of induced 2 L -norm, where the effects of disturbances and initial conditions on 2-D error are considered. The iterative learning controller design problem to guarantee the error convergence can be reduced to linear matrix inequality problems. In comparison with others, our learning algorithm ...

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Robust Stability Analysis for a Fuzzy Feedback Linearization Method using a Takagi-Sugeno Fuzzy Model

  • Kang, Hyung-Jin;Cheol Kwon;Lee, Hee-Jin;Park, Mignon
    • Journal of Electrical Engineering and information Science
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    • v.2 no.4
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    • pp.28-36
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    • 1997
  • In this paper, robust stability analysis for the fuzzy feedback linearization regulator is presented. Well-known Takagi-Sugeno fuzzy model is used as the MISO nonlinear plant model. Uncertainty and disturbance are assumed to be included in the model structure with known bounds. For these structured uncertainty and disturbances, robust stability of the close system is analyzed in both input-output sense and Lyapunov sense. The robust stability conditions are proposed by using multivariable circle criterion and the relationship between input-output stability and Lyapunov stability. The proposed stability analysis is illustrated by a simple example.

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Design of Buoyancy and Moment Controllers of a Underwater Glider Based on a T-S Fuzzy Model (T-S 퍼지 모델 기반 수중글라이더의 부력 및 모멘트 제어기 설계)

  • Lee, Gyeoung Hak;Kim, Do Wan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.12
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    • pp.2037-2045
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    • 2016
  • This paper presents a fuzzy-model-based design approach to the buoyancy and moment controls of a class of nonlinear underwater glider. Through the linearization and the sector nonlinearity methodologies, the underwater glider dynamics is represented by a Takagi-Sugeno (T-S) fuzzy model. Sufficient conditions are derived to guarantee the asymptotic stability of the closed-loop system in the format of linear matrix inequality (LMI). Simulation results demonstrate the effectiveness of the proposed buoyancy and moment controllers for the underwater glider.

Sampled-data Fuzzy Tracking Control of Nonlinear Control Systems (비선형 제어 시스템의 샘플치 퍼지 추적 제어)

  • Kim, Han Sol;Park, Jin Bae;Joo, Young Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.1
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    • pp.159-164
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    • 2017
  • In this paper, we propose a method of designing the sampled-data tracking controller for nonlinear systems expressed by the Takagi-Sugeno (T-S) fuzzy model. A sufficient condition that asymptotically stabilizes the state error between the linear reference model and the T-S fuzzy model is derived in terms of linear matrix inequalities. To this end, error dynamics are constructed, and the exact discretization method and the Lyapunov stability theory are employed in this paper. Finally, we validate the proposed method through the simulation example.

Adaptive Parameter Estimator Design for Takagi-Sugeno Fuzzy Models

  • Park, Chang-Woo;Lee, Chang-Hoon;Park, Mignon;Kim, Seungho
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.40.5-40
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    • 2001
  • In this paper, a new on-line parameter estimation methodology for the general continuous time Takagi-Sugeno(T-S) fuzzy model whose parameters are poorly known or uncertain is presented. An estimator with an appropriate adaptive law for updating the parameters is designed and analyzed based on the Lyapunov theory. The adaptive law is designed so that the estimation model follows the plant parameterized model. By the proposed estimator, the parameters of the T-S fuzzy model can be estimated by observing the behavior of the system and it can be a basis for the indirect adaptive fuzzy control.

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Design of T-S(Takagi-Sugeno) Fuzzy Control Systems Under the Bound on the Output Energy

  • Kim, Kwang-Tae;Joh, Joog-Seon;Kwon, Woo-Hyen
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.1
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    • pp.44-49
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    • 1999
  • This paper presents a new T-S(Tae-Sugeno) fuzzy controller design method satisfying the output energy bound. Maximum output energy via a quadratic Lyapunov function to obtain the bound on output energy is derived. LMI(Linear Matrix Inequality) problems which satisfy an output energy bound for both of the continuous-time and discrete-time T-S fuzzy control system are also derived. Solving these LMIs simultaneously, we find a common symmetric positive definite matrix P which guarantees the global asymptotic stability of the system and stable feedback gains K's satisfying the output energy bound. A simple example demonstrates validity of the proposed design method.

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Sampled-Data Observer-Based Decentralized Fuzzy Control for Nonlinear Large-Scale Systems

  • Koo, Geun Bum;Park, Jin Bae;Joo, Young Hoon
    • Journal of Electrical Engineering and Technology
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    • v.11 no.3
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    • pp.724-732
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    • 2016
  • In this paper, a sampled-data observer-based decentralized fuzzy control technique is proposed for a class of nonlinear large-scale systems, which can be represented to a Takagi-Sugeno fuzzy system. The premise variable is assumed to be measurable for the design of the observer-based fuzzy controller, and the closed-loop system is obtained. Based on an exact discretized model of the closed-loop system, the stability condition is derived for the closed-loop system. Also, the stability condition is converted into the linear matrix inequality (LMI) format. Finally, an example is provided to verify the effectiveness of the proposed techniques.

Design of Intelligent Controller with Time Delay for Internet-Based Remote Control (인터넷 기반 원격제어를 위한 임의의 시간지연을 갖는 지능형 제어기의 설계)

  • Joo, Young-Hoon;Kim, Jung-Chan;Lee, Oh-Jae;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.3
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    • pp.293-299
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    • 2003
  • This paper discusses a design of intelligent controller with time delay for Internet-based remote control. The finite Markovian process is adopted to model the input delay of the overall control system. It is assumed that the zero and hold devices are used for control input. The Takagi-Sugeno (T-S) fuzzy system with uncertain input delay is utilized to represent nonlinear plant. The continuous-time T-S fuzzy system with the Markovian input delay is discretized for easy handling delay, accordingly, the discretized T-S fuzzy system is represented by a discrete-time T-S fuzzy system with jumping parameters. The robust stochastic stabilizibility of the jump T-S fuzzy system is derived and formulated in terms of linear matrix inequalities (LMIs). An experimental results is provided to visualize the feasibility of the proposed method.

T-S Fuzzy Model-based Waypoints-Tracking Control of Underwater Vehicles (무인잠수정의 T-S 퍼지 모델기반 경로점 유도제어)

  • Kim, Do-Wan;Lee, Ho-Jae;Sur, Joo-No
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.6
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    • pp.526-530
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    • 2011
  • This paper presents a new fuzzy model-based design approach for waypoints-tracking control of nonlinear underwater vehicles (UUVs) on a horizontal plane. The waypoints-tracking control problem is converted into the stabilization one for the error model between the given nonlinear UUV and the waypoints. By using the sector nonlinearity, the error model is modeled in Takagi-Sugeno's form. We then derive stabilization conditions for the error model in the format of linear matrix inequality. A numerical simulation is provided to illustrate the effectiveness of the proposed methodology.