• Title/Summary/Keyword: Takagi-Sugeno model

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On Chaotic Behavior of Fuzzy Inferdence Rule Based Nonlinear Functions

  • Ikoma, Norikazu
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.861-864
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    • 1993
  • This research provides the results of a trial to generate the chaos by using nonlinear function constructed by fuzzy inference rules. The chaos generation function or chaotic behavior can be obtained by using Takagi-Sugeno fuzzy model with some constraint of the relationship of its parameters. Two examples are shown in this research. The first is simple example that construct of logistic image by fuzzy model. The second is more complicated one that provide the chaotic time series by non-linear autoregression based on fuzzy model. Simulated results are shown in these examples.

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Fuzzy Model-Based Output-Tracking Control for 2 Degree-of-Freedom Helicopter

  • Chang, Wook;Moon, Ji Hyun;Lee, Ho Jae
    • Journal of Electrical Engineering and Technology
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    • v.12 no.4
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    • pp.1649-1656
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    • 2017
  • This paper addresses the control problem of a laboratory-level 2 degree-of-freedom helicopter. The exact fuzzy model in a Takagi - Sugeno form is constructed by the sector nonlinearity technique, and is then represented as a set of uncertain linear systems. Output-tracking controller is designed in terms of linear matrix inequalities and the closed-loop stability is rigorously analyzed. Experimental evaluation shows that the proposed method is of benefit to many real industrial plants.

A Constructive Algorithm of Fuzzy Model for Nonlinear System Modeling (비선형 시스템 모델링을 위한 퍼지 모델 구성 알고리즘)

  • Choi, Jong-Soo
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.648-650
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    • 1998
  • This paper proposes a constructive algorithm for generating the Takagi-Sugeno type fuzzy model through the sequential learning from training data set. The proposed algorithm has a two-stage learning scheme that performs both structure and parameter learning simultaneously. The structure learning constructs fuzzy model using two growth criteria to assign new fuzzy rules for given observation data. The parameter learning adjusts the parameters of existing fuzzy rules using the LMS rule. To evaluate the performance of the proposed fuzzy modeling approach, well-known benchmark is used in simulation and compares it with other modeling approaches.

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Effective Decentralized Sampled-Data Control for Nonlinear Systems in T-S' Form: Overlapping IDR Approach (타카기-수게노 형태의 비선형 시스템의 효율적 분산 샘플치 제어: 중복 지능형 디지털 재설계 접근법)

  • Lee, Ho-Jae;Kim, Do-Wan
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.1
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    • pp.94-99
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    • 2012
  • This paper discusses a decentralized sampled-data control problem for large-scale nonlinear systems. The system is represented in Takagi-Sugeno's form. Next, we design a decentralized analog controller based on the overlapping decomposition technique. The final step is to apply the intelligent digital redesign scheme for converting the analog controller into the sampled-data one. Design condition is represented in terms of linear matrix inequalities. A simulation result is provided for the effectiveness of the proposed design method.

Variable Speed Control of Wind Turbines Using Robust Fuzzy Algorithm (강인 퍼지 이론을 이용한 풍력 터빈의 가변 속도 제어)

  • Sung, Hwa-Chang;Park, Jin-Bae;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.1
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    • pp.1-6
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    • 2008
  • In this paper, we present the robust fuzzy algorithm for variable speed control of wind turbines. Generally, the plants of wind turbines are consisted of complex nonlinearities, and the parameters of variable speed of wind turbines are represented as uncertain terms. For solving these complexity, we propose the robust fuzzy algorithm. At first, the exact fuzzy modeling are performed for variable speed of wind turbines. Next, we design the fuzzy controller for reanalyzed T-S fuzzy model of the wind turbines, then, we prove the stability of the plant through the Lyapunov stability theorem. At last, an example is included for visualizing the efficiency of the proposed technique.

Design of Robust Fuzzy Controller For Nonlinear System with Uncertainty Using LMI (LMI를 이용한 불확실 비선형 시스템의 강인한 퍼지 제어기 설계)

  • 전상원;주영훈;이호재;박진배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.11a
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    • pp.188-190
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    • 2000
  • This paper proposed design of robust fuzzy controller for nonlinear systems in the presence of parametric uncertainties. In the design procedure, we represent the nonlinear system using Takagi-Sugeno fuzzy model. A sufficient condition of the robust stability is presented in the sense of Lyapunov for the TSK fuzzy model with uncertainties. Finally, the effectiveness of proposed controller has been through a result of numerical simulation.

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Backing up Control of a Truck-Trailer using TSK Fuzzy System (TSK 퍼지시스템을 이용한 트럭-트레일러의 후진 제어)

  • 김종화;이원창;강근택
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09b
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    • pp.133-136
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    • 2003
  • This paper presents a fuzzy control scheme for backing up control of Truck-Trailer, which is nonlinear and unstable by using TSK(Takagi-Sugeno-kang) fuzzy system. The nonlinear system of Truck-Trailer was expressed by using TSK fuzzy model, and the TSK fuzzy controller was designed from TSK fuzzy model. The usefulness of the proposed algorithm for backing up truck-trailer is certificated by the computer simulations.

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Controller Design for Affine T-S Fuzzy System with Parametric Uncertainties (파라미터 불확실성을 갖는 어핀 T-S 퍼지 시스템의 제어기 설계)

  • Lee, Sang-In;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2004.04a
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    • pp.133-136
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    • 2004
  • This paper proposes a stability condition in affine Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties and then, introduces the design method of a fuzzy-model-based controller which guarantees the stability. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The search for a piecewise quadratic Lyapunov function can be represented in terms of linear matrix inequalities (LMIs).

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A Study of Short-Term Load Forecasting System Using Data Mining (데이터 마이닝을 이용한 단기 부하 예측 시스템 연구)

  • Joo, Young-Hoon;Jung, Keun-Ho;Kim, Do-Wan;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.2
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    • pp.130-135
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    • 2004
  • This paper presents a new design methods of the short-term load forecasting system (STLFS) using the data mining. The structure of the proposed STLFS is divided into two parts: the Takagi-Sugeno (T-S) fuzzy model-based classifier and predictor The proposed classifier is composed of the Gaussian fuzzy sets in the premise part and the linearized Bayesian classifier in the consequent part. The related parameters of the classifier are easily obtained from the statistic information of the training set. The proposed predictor takes form of the convex combination of the linear time series predictors for each inputs. The problem of estimating the consequent parameters is formulated by the convex optimization problem, which is to minimize the norm distance between the real load and the output of the linear time series estimator. The problem of estimating the premise parameters is to find the parameter value minimizing the error between the real load and the overall output. Finally, to show the feasibility of the proposed method, this paper provides the short-term load forecasting example.

Fuzzy Controller for Nonlinear Systems Using Optimal Pole Placement (최적 극점 배치를 이용한 비선형 시스템의 퍼지 제어기)

  • 이남수
    • Journal of the Korean Institute of Intelligent Systems
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    • v.10 no.2
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    • pp.152-160
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    • 2000
  • This paper addresses the analysis and design of fuzzy-model-based controller for nonlinear systems using extended PDC and optimal pole-placement schemes. In the design procedure, we represent the nonlinear system using a Takagi-Sugeno fkzy model and formulate the controller rules by using the extended parallel distributed compensator (EPDC) and construct an overall fuzzy logic controller by blending all local state feedback controllers with an optimal pole-placement scheme. Unlike the commonly used parallel distributed compensation technique, by blending a newly extended parallel distributed compensator and the optimal poleplacement schemes, we can design not only a local stable k z y controller but also an overall stable fuzzy controller to perform the tacking control objective. Furthermore, a stability analysis is carried out not only for the fuzzy model but also for a real nonlinear system. Finally. the effectiveness and feasibility of the proposed fizzy model-based controller design method has been shown through a simulation example.

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