• Title/Summary/Keyword: Fuzzy transformation

Search Result 103, Processing Time 0.021 seconds

State Feedback Linearization of Discrete-Time Nonlinear Systems via T-S Fuzzy Model (T-S 퍼지모델을 이용한 이산 시간 비선형계통의 상태 궤환 선형화)

  • Kim, Tae-Kue;Wang, Fa-Guang;Park, Seung-Kyu;Yoon, Tae-Sung;Ahn, Ho-Kyun;Kwak, Gun-Pyong
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.19 no.6
    • /
    • pp.865-871
    • /
    • 2009
  • In this paper, a novel feedback linearization is proposed for discrete-time nonlinear systems described by discrete-time T-S fuzzy models. The local linear models of a T-S fuzzy model are transformed to a controllable canonical form respectively, and their T-S fuzzy combination results in a feedback linearizable Tagaki-Sugeno fuzzy model. Based on this model, a nonlinear state feedback linearizing input is determined. Nonlinear state transformation is inferred from the linear state transformations for the controllable canonical forms. The proposed method of this paper is more intuitive and easier to understand mathematically compared to the well-known feedback linearization technique which requires a profound mathematical background. The feedback linearizable condition of this paper is also weakened compared to the conventional feedback linearization. This means that larger class of nonlinear systems is linearizable compared to the case of classical linearization.

Transformation of TSK fuzzy systems into fuzzy systems with singleton consequents and its application (TSK퍼지시스템을 결론부가 singleton인 퍼지시스템으로 표현하는 방법과 그 응용)

  • 채양범;오갑석;이원창;강근택
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 1998.10a
    • /
    • pp.225-231
    • /
    • 1998
  • TSK fuzzy system can represent effectively the behavior of a complex nonlinear system with low number of rules with the desired accuracy and guarantee the stability of the closed loop system, while the interpretation of the rules is difficult due to the functional nature of the consequents. On the contrary, fuzzy controller with singleton consequents is understandable intuitively and adjustable the rules easily due to qualitative expression of the rules. Ideally, one would like to combine the positive identification properties of TSK fuzzy system with the advantages of fuzzy controller with singleton consequents. Therefore, this paper suggests a method transforming TSK fuzzy systems into fuzzy systems with singleton consequents, and shows its application designing a fuzzy controller with singleton consequents by using the TSK fuzzy system when the behavior of a nonlinear system is described with a singleton fuzzy model by human esper.

  • PDF

Fuzzy Uncertainty Analysis of the Bird Strike Simulation (퍼지이론을 적용한 불확실성이 존재하는 조류충돌 해석)

  • Lee, Bok-Won;Park, Mi-Young;Kim, Chun-Gon
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.35 no.11
    • /
    • pp.983-989
    • /
    • 2007
  • The bird strike simulation is a problem characterized by a high degree of uncertainty. It deals with nonlinear dynamics, complicated models of bird materials and geometry, as well as a plenty of possible boundary and initial conditions. In this complex field, uncertainty management plays an important role. This paper aims to assess the effect of input uncertainty of bird strike analysis on the impact behavior of the leading edge of the WIG(Wing in Ground Effect) craft obtained with finite element analysis using LS-DYNA 3D. The uncertainties of the bird strike simulation arise due to imprecision or lack of information, due to variability or scatter, or as a consequence of model simplification. These uncertain parameters are represented by fuzzy numbers with their membership functions quantifying an initial guess for the actual value of the model parameter. Using the transformation method as a special implementation of fuzzy arithmetic, the model can be analyzed with the intention of determining the influence of each uncertain parameter on the overall bird strike behavior.

A Study on Automatic Seam Tracking using Vision Sensor (비전센서를 이용한 자동추적장치에 관한 연구)

  • 전진환;조택동;양상민
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1995.10a
    • /
    • pp.1105-1109
    • /
    • 1995
  • A CCD-camera, which is structured with vision system, was used to realize automatic seam-tracking system and 3-D information which is needed to generate torch path, was obtained by using laser-slip beam. To extract laser strip and obtain welding-specific point, Adaptive Hough-transformation was used. Although the basic Hough transformation takes too much time to process image on line, it has a tendency to be robust to the noises as like spatter. For that reson, it was complemented with Adaptive Hough transformation to have an on-line processing ability for scanning a welding-specific point. the dead zone,where the sensing of weld line is impossible, is eliminated by rotating the camera with its rotating axis centered at welding torch. The camera angle is controlled so as to get the minimum image data for the sensing of weld line, hence the image processing time is reduced. The fuzzy controller is adapted to control the camera angle.

  • PDF

Design of Passivity Tele-Operation System Using Fuzzy Wave Variables (퍼지 웨이브 변수를 이용한 수동성 원격 시스템 설계)

  • Park, Beom-Seok;Yoo, Sung-Goo;Chong, Kil-To
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.17 no.3
    • /
    • pp.258-263
    • /
    • 2011
  • In the bilateral tele-operation system, time delay may be a critical problem. Even if system modeling error or time delay occurs, when applied to wave transformation system, the system's stability can be achieved. Using the characteristic b which is an important parameter of wave transformation, the system can display robust performance for time delay. However, since assuming and that the time delay was fixed developing a theory, a stability cannot be guaranteed about the time-varying delay. Therefore, In the paper, Therefore, in this paper, we studied for the method that controls this by applying the fuzzy algorithm which surveyed the timevarying delay characteristics and can adjust the b according to it adaptively.

Associations Among Information Granules and Their Optimization in Granulation-Degranulation Mechanism of Granular Computing

  • Pedrycz, Witold
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.13 no.4
    • /
    • pp.245-253
    • /
    • 2013
  • Knowledge representation realized by information granules is one of the essential facets of granular computing and an area of intensive research. Fuzzy clustering and clustering are general vehicles to realize formation of information granules. Granulation - degranulation paradigm is one of the schemes determining and quantifying functionality and knowledge representation capabilities of information granules. In this study, we augment this paradigm by forming and optimizing a collection of associations among original and transformed information granules. We discuss several transformation schemes and analyze their properties. A series of numeric experiments is provided using which we quantify the improvement of the degranulation mechanisms offered by the optimized transformation of information granules.

Design of Multiple Fuzzy Prediction System based on Interval Type-2 TSK Fuzzy Logic System (Interval Type-2 TSK 퍼지논리시스템 기반 다중 퍼지 예측시스템 설계)

  • Bang, Young-Keun;Lee, Chul-Heui
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.20 no.3
    • /
    • pp.447-454
    • /
    • 2010
  • This paper presents multiple fuzzy prediction systems based on an Interval type-2 TSK fuzzy Logic System so that the uncertainty and the hidden characteristics of nonlinear data can be reflected more effectively to improve prediction quality. In proposed method, multiple fuzzy systems are adopted to handle the nonlinear characteristics of data, and each of multiple system is constructed by using interval type-2 TSK fuzzy logic because it can deal with the uncertainty and the characteristics of data better than type-1 TSK fuzzy logic and other methods. For input of each system, the first-order difference transformation method are used because the difference data generated from it can provide more stable statistical information to each system than the original data. Finally, computer simulations are performed to show the effectiveness of the proposed method for two typical time series examples.

FUZZY CHOICE IN DESIGN OF THE COMPLEX SYSTEMS.

  • Belov, Y.;Matsuoka, K.;Shafranskiy, S.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 1993.06a
    • /
    • pp.1301-1304
    • /
    • 1993
  • The base of proposed decomposing approach is multilevel process of agregation (simplificative transformation) of the description of the project structures. The new classification of fuzzy choice operators is suggested to obtain the decomposing correlations.

  • PDF

Development of Query Transformation Method by Cost Optimization

  • Altayeva, Aigerim Bakatkaliyevna;Yoon, Youngmi;Cho, Young Im
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.16 no.1
    • /
    • pp.36-43
    • /
    • 2016
  • The transformation time among queries in the database management system (DBMS) is responsible for the execution time of users' queries, because a conventional DBMS does not consider the transformation cost when queries are transformed for execution. To reduce the transformation time (cost reduction) during execution, we propose an optimal query transformation method by exploring queries from a cost-based point of view. This cost-based point of view means considering the cost whenever queries are transformed for execution. Toward that end, we explore and compare set off heuristic, linear, and exhaustive cost-based transformations. Further, we describe practical methods of cost-based transformation integration and some query transformation problems. Our results show that, some cost-based transformations significantly improve query execution time. For instance, linear and heuristic transformed queries work 43% and 74% better than exhaustive queries.

Robust Fuzzy Feedback Linearization Control Based on Takagi-Sugeno Fuzzy Models

  • Park, Chang-Woo;Park, Mignon
    • Transactions on Control, Automation and Systems Engineering
    • /
    • v.4 no.4
    • /
    • pp.356-362
    • /
    • 2002
  • In this paper, well-known Takagi-Sugeno fuzzy model is used as the nonlinear plant model and uncertainty is assumed to be included in the model structure with known bounds. Based on the fuzzy models, a numerical robust stability analysis for the fuzzy feedback linearization regulator is presented using Linear Matrix Inequalities (LMI) Theory. For these structured uncertainty, the closed system can be cast into Lur'e system by simple transformation. From the LMI stability condition for Lur'e system, we can derive the robust stability condition for the fuzzy feedback linearization regulator based on Takagi-Sugeno fuzzy model. The effectiveness of the proposed analysis is illustrated by a simple example.