• Title/Summary/Keyword: T-S Fuzzy Model

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A Study on the Nonlinear Controller Design Using T-S Fuzzy Model and GA (T-S 퍼지 모델과 GA를 이용한 비선형 제어기의 설계에 관한 연구)

  • Kang, Hyeong-Jin;Kwon, Cheol;Shim, Han-Su;Kim, Seun-U;Park, Min-Yong
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.310-312
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    • 1996
  • In this paper, we propose a design method for nonlinear SISO system using Takagi-Sugeno fuzzy model and Genetic Algorithm. Our method can reduce the number of design parameters and has advantage of small search space of Genetic Algorithm. The proposed nonlinear controller, which can be implemented by fuzzy controller and simple nonlinear controller, cancels the original nonlinear dynamics and gives the optimal nonlinear dynamics. We illustrated the performance of the proposed controller by simple simulation example.

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Intelligent Digital Redesign for Nonlinear Interconnected Systems using Decentralized Fuzzy Control

  • Koo, Geun-Bum;Park, Jin-Bae;Joo, Young-Hoon
    • Journal of Electrical Engineering and Technology
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    • v.7 no.3
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    • pp.420-428
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    • 2012
  • In this paper, a novel intelligent digital redesign (IDR) technique is proposed for the nonlinear interconnected systems which can be represented by a Takagi-Sugeno (T-S) fuzzy model. The IDR technique is to convert a pre-designed analog controller into an equivalent digital one. To develop this method, the discretized models of the analog and digital closed-loop system with the decentralized controller are presented, respectively. Using these discretized models, the digital decentralized control gain is obtained to minimize the norm between the state variables of the analog and digital closed-loop systems and stabilize the digital closed-loop system. Its sufficient conditions are derived in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to verify the effectiveness of the proposed technique.

Fuzzy $H^{\infty}$ Controller Design for Uncertain Nonlinear Systems (불확실성을 갖는 비선형 시스템의 퍼지 $H^{\infty}$ 제어기 설계)

  • Lee, Kap-Rai;Jeung, Eun-Tae;Park, Hong-Bae
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.6
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    • pp.46-54
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    • 1998
  • This paper presents a method for designing robust fuzzy $H^{\infty}$ controllers which stabilize nonlinear systems with parameter uncertainty adn guarantee an induced $L_{2}$ norm bound constraint on disturbance attenuation for all admissible uncertainties. Takagi and Sugeno's fuzzy models with uncertainty are used as the model for the uncertain nonlinear systems. Fuzzy control systems utilize the concept of so-called parallel distributed compensation(PDC). Using a single quadratic Lyapunov function, the stability condition satisfying decay rate and disturbance attenuation condition for Takagi and Sugeno's fuzzy model with parameter uncertainty are discussed. A sufficient condition for the existence of robust fuzzy $H^{\infty}$ controllers is then presented in terms of linear matrix inequalities(LMIs). Finally, design examples of robust fuzzy $H^{\infty}$ controllers for uncertain nonlinear systems are presented.

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Trajectory Tracking Control of Mobile Robot via T-S Fuzzy Modeling (T-S 퍼지 모델링을 통한 이동 로봇의 궤도 추적 제어)

  • Hwang, Keun-Woo;Cheon, Seok-Hyo;Park, Seung-Kyu;Yoon, Tae-Sung
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1846-1847
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    • 2011
  • In this paper, for the trajectory tracking control of mobile robot, firstly, we obtained the T-S fuzzy models from the tracking-error models, one of which has nonlinear form and the other is linearized around the reference trajectory. Then the tracking control inputs are designed using the proposed fuzzy linearization method and the existed PDC method. Lastly, the tracking performance is tested and compared for each model through simulation.

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Robust Intelligent Digital Redesign (강인 지능형 디지털 재설계 방안 연구)

  • Sung, Hwa-Chang;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.220-222
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    • 2006
  • This paper presents intelligent digital redesign method of global approach for hybrid state space fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(TS) fuzzy model is used to represent the complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated lineal operators to be matched. Also, by using the bilinear and inverse bilinear approximation method, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete-time system have proper reason. Sufficiently conditions for the global state-matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMIs). Finally, a T-S fuzzy model for the chaotic Lorentz system is used as an example to guarantee the stability and effectiveness of the proposed method.

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A Novel Speed Estimation Method of Induction Motors Using Real-Time Adaptive Extended Kalman Filter

  • Zhang, Yanqing;Yin, Zhonggang;Li, Guoyin;Liu, Jing;Tong, Xiangqian
    • Journal of Electrical Engineering and Technology
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    • v.13 no.1
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    • pp.287-297
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    • 2018
  • To improve the performance of sensorless induction motor (IM) drives, a novel speed estimation method based on the real-time adaptive extended Kalman filter (RAEKF) is proposed in this paper. In this algorithm, the fuzzy factor is introduced to tune the measurement covariance matrix online by the degree of mismatch between the actual innovation and the theoretical. Simultaneously, the fuzzy factor can be continuously self-tuned tuned by the fuzzy logic reasoning system based on Takagi-Sugeno (T-S) model. Therefore, the proposed method improves the model adaptability to the actual systems and the environmental variations, and reduces the speed estimation error. Furthermore, a simple exponential function based on the fuzzy theory is used to reduce the computational burden, and the real-time performance of the system is improved. The correctness and the effectiveness of the proposed method are verified by the simulation and experimental results.

Design of a Model-Based Fuzzy Controller for Container Cranes (컨테이너 크레인을 위한 모델기반 퍼지제어기 설계)

  • Lee, Soo-Lyong;Lee, Yun-Hyung;Ahn, Jong-Kap;Son, Jeong-Ki;Choi, Jae-Jun;So, Myung-Ok
    • Journal of Navigation and Port Research
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    • v.32 no.6
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    • pp.459-464
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    • 2008
  • In this paper, we present the model-based fuzzy controller for container cranes which effectively performs set-point tracking control of trolley and anti-swaying control under system parameter and disturbance changes. The first part of this paper focuses on the development of Takagi-Sugeno (T-S) fuzzy modeling in a nonlinear container crane system. Parameters of the membership functions are adjusted by a RCGA to have same dynamic characteristics with nonlinear model of a container crane. In the second part, we present a design methodology of the model-based fuzzy controller. Sub-controllers are designed using LQ control theory for each subsystem in fuzzy model and then the proposed controller is performed with the combination of these sub-controllers by fuzzy IF-THEN rules. In the results of simulation, the fuzzy model showed almost similar dynamic characteristics compared to the outputs of the nonlinear container crane model. Also, the model-based fuzzy controller showed not only the fast settling time for the change in parameter and disturbance, but also stable and robust control performances without any steady-state error.

Real Time Textile Animation Using Fuzzy Inference (퍼지추론을 적용한 직물 애니메이션)

  • Hwang, Seon-Min;Song, Bok-Hee;Yun, Han-Kyung
    • The Journal of the Korea Contents Association
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    • v.11 no.9
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    • pp.1-8
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    • 2011
  • A fuzzy inference technique for real-time textile animation without integration at textile model based Mass-Spring model is introduced. Until now many techniques have used the Mass-Spring model to describe elastically deformable objects like textile. A textile object is able to represent as a deformable surface composed of spring and masses, the movement of textile surface which is analysed through the numerical integration by the fundamental law of dynamics such as Hooke's law. However, the integration methods have 'instability problems' if the explicit Euler's method is applied or 'large amounts of calculation' if the implicit Euler's method is applied. A simple and fast animation technique for Mass-Spring model of a textile with fuzzy inference is proposed. The stabilized simulation result is obtained the state of each mass-point in real-time for the n of mass-points by a relatively simple calculation.

Speech Recognition Using HMM Based on Fuzzy (피지에 기초를 둔 HMM을 이용한 음성 인식)

  • 안태옥;김순협
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.28B no.12
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    • pp.68-74
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    • 1991
  • This paper proposes a HMM model based on fuzzy, as a method on the speech recognition of speaker-independent. In this recognition method, multi-observation sequences which give proper probabilities by fuzzy rule according to order of short distance from VQ codebook are obtained. Thereafter, the HMM model using this multi-observation sequences is generated, and in case of recognition, a word that has the most highest probability is selected as a recognized word. The vocabularies for recognition experiment are 146 DDD are names, and the feature parameter is 10S0thT LPC cepstrum coefficients. Besides the speech recognition experiments of proposed model, for comparison with it, we perform the experiments by DP, MSVQ and general HMM under same condition and data. Through the experiment results, it is proved that HMM model using fuzzy proposed in this paper is superior to DP method, MSVQ and general HMM model in recognition rate and computational time.

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Intelligent Controller for Networked Control Systems with Time-delay (시간지연을 갖는 네트워크 제어 시스템의 지능형 제어기 설계)

  • Bae, Gi-Sun;Joo, Young-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.2
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    • pp.139-144
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    • 2011
  • We consider the stabilization problem for a class of networked control systems with random delays in the discrete-time domain. The controller-to-actuator and sensor-to-controller time-delays are modeled as two Markov chains, and the resulting closed-loop systems are Markovian jump nonlinear systems with two modes. The T-S (Takagi-Sugeno) fuzzy model is employed to represent a nonlinear system with Markovian jump parameters. The aim is to design a fuzzy controller such that the closed-loop Markovian jump fuzzy system is stochastically stable. The necessary and sufficient conditions on the existence of stabilizing fuzzy controllers are established in terms of LMIs (Linear Matrix Inequalities). It is shown that fuzzy controller gains are mode-dependent. Finally, a simulation example is presented to illustrate the effectiveness of the proposed design method.