• 제목/요약/키워드: Polynomial systems

검색결과 532건 처리시간 0.025초

컴퓨터 처리를 위한 대규모 시스템의 간략법에 관한 연구 (A Study on the Large Scale Systems Simplification for computer processing)

  • 황형수;권오신;이창구
    • 대한전기학회논문지
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    • 제36권4호
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    • pp.280-286
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    • 1987
  • A new method is presented for obtaining redced-order model for time-invariant systems. This method does not require the calculation of the reciprocal transformation, the alpha table, the beta-table and the alpha-beta expansion which should be calculated in Routh approximation method, hence it is computationally very attractive better than Routh approximation method, furthemore the stability of the reduced-order model is guaranted if the original system is stable. This method starts with the continued fraction espansion of auxiliary denominator polynomial give for the denominator polynomial of the reduced-order model. The coefficients of the numerator polynomial are then obtained by equating moment of the original and the reduced-order medel.

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공개키 암호 시스템을 위한 LFSR 곱셈기 설계 (Design of LFSR Multipliers for Public-key Cryptosystem)

  • 이진호;김현성
    • 한국산업정보학회논문지
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    • 제9권1호
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    • pp.43-48
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    • 2004
  • 본 논문에서는 GF(2m)상에서 Linear Feedback Shift Register 구조기반의 새로운 구조를 제안한다. 먼저 모듈러 곱셈기와 제곱기를 제안하고, 이를 기반으로 곱셈과 제곱을 동시에 수행할 수 있는 구조를 설계한다. 제안된 구조는 기약다항식으로 모든 계수가 1인 속성의 All One Polynomial 을 이용한다. 제안된 구조는 구조복잡도면에서 기존의 구조들보다 훨씬 효율적이다. 제안된 곱셈기는 공개키 암호의 핵심이 되는 지수기의 구현을 위한 효율적인 기본구조로 사용될 수 있다.

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Advanced Self-organizing Neural Networks with Fuzzy Polynomial Neurons : Analysis and Design

  • Oh, Sung-Kwun;Lee , Dong-Yoon
    • KIEE International Transaction on Systems and Control
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    • 제12D권1호
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    • pp.12-17
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    • 2002
  • We propose a new category of neurofuzzy networks- Self-organizing Neural Networks(SONN) with fuzzy polynomial neurons(FPNs) and discuss a comprehensive design methodology supporting their development. Two kinds of SONN architectures, namely a basic SONN and a modified SONN architecture are dicussed. Each of them comes with two types such as the generic and the advanced type. SONN dwells on the ideas of fuzzy rule-based computing and neural networks. Simulation involves a series of synthetic as well as experimental data used across various neurofuzzy systems. A comparative analysis is included as well.

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Rule-Based Fuzzy Polynomial Neural Networks in Modeling Software Process Data

  • Park, Byoung-Jun;Lee, Dong-Yoon;Oh, Sung-Kwun
    • International Journal of Control, Automation, and Systems
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    • 제1권3호
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    • pp.321-331
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    • 2003
  • Experimental software datasets describing software projects in terms of their complexity and development time have been the subject of intensive modeling. A number of various modeling methodologies and modeling designs have been proposed including such approaches as neural networks, fuzzy, and fuzzy neural network models. In this study, we introduce the concept of the Rule-based fuzzy polynomial neural networks (RFPNN) as a hybrid modeling architecture and discuss its comprehensive design methodology. The development of the RFPNN dwells on the technologies of Computational Intelligence (CI), namely fuzzy sets, neural networks, and genetic algorithms. The architecture of the RFPNN results from a synergistic usage of RFNN and PNN. RFNN contribute to the formation of the premise part of the rule-based structure of the RFPNN. The consequence part of the RFPNN is designed using PNN. We discuss two kinds of RFPNN architectures and propose a comprehensive learning algorithm. In particular, it is shown that this network exhibits a dynamic structure. The experimental results include well-known software data such as the NASA dataset concerning software cost estimation and the one describing software modules of the Medical Imaging System (MIS).

Nonlinear Backstepping Control of SynRM Drive Systems Using Reformed Recurrent Hermite Polynomial Neural Networks with Adaptive Law and Error Estimated Law

  • Ting, Jung-Chu;Chen, Der-Fa
    • Journal of Power Electronics
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    • 제18권5호
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    • pp.1380-1397
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    • 2018
  • The synchronous reluctance motor (SynRM) servo-drive system has highly nonlinear uncertainties owing to a convex construction effect. It is difficult for the linear control method to achieve good performance for the SynRM drive system. The nonlinear backstepping control system using upper bound with switching function is proposed to inhibit uncertainty action for controlling the SynRM drive system. However, this method uses a large upper bound with a switching function, which results in a large chattering. In order to reduce this chattering, a nonlinear backstepping control system using an adaptive law is proposed to estimate the lumped uncertainty. Since this method uses an adaptive law, it cannot achiever satisfactory performance. Therefore, a nonlinear backstepping control system using a reformed recurrent Hermite polynomial neural network with an adaptive law and an error estimated law is proposed to estimate the lumped uncertainty and to compensate the estimated error in order to enhance the robustness of the SynRM drive system. Further, the reformed recurrent Hermite polynomial neural network with two learning rates is derived according to an increment type Lyapunov function to speed-up the parameter convergence. Finally, some experimental results and a comparative analysis are presented to verify that the proposed control system has better control performance for controlling SynRM drive systems.

Evolutionary Design Methodology of Fuzzy Set-based Polynomial Neural Networks with the Information Granule

  • Roh Seok-Beom;Ahn Tae-Chon;Oh Sung-Kwun
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2005년도 춘계학술대회 학술발표 논문집 제15권 제1호
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    • pp.301-304
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    • 2005
  • In this paper, we propose a new fuzzy set-based polynomial neuron (FSPN) involving the information granule, and new fuzzy-neural networks - Fuzzy Set based Polynomial Neural Networks (FSPNN). We have developed a design methodology (genetic optimization using Genetic Algorithms) to find the optimal structure for fuzzy-neural networks that expanded from Group Method of Data Handling (GMDH). It is the number of input variables, the order of the polynomial, the number of membership functions, and a collection of the specific subset of input variables that are the parameters of FSPNN fixed by aid of genetic optimization that has search capability to find the optimal solution on the solution space. We have been interested in the architecture of fuzzy rules that mimic the real world, namely sub-model (node) composing the fuzzy-neural networks. We adopt fuzzy set-based fuzzy rules as substitute for fuzzy relation-based fuzzy rules and apply the concept of Information Granulation to the proposed fuzzy set-based rules.

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진화론적 최적 규칙베이스 퍼지다항식 뉴럴네트워크 (Genetically Optimized Rule-based Fuzzy Polynomial Neural Networks)

  • 박병준;김현기;오성권
    • 제어로봇시스템학회논문지
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    • 제11권2호
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    • pp.127-136
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    • 2005
  • In this paper, a new architecture and comprehensive design methodology of genetically optimized Rule-based Fuzzy Polynomial Neural Networks(gRFPNN) are introduced and a series of numeric experiments are carried out. The architecture of the resulting gRFPNN results from asynergistic usage of the hybrid system generated by combining rule-based Fuzzy Neural Networks(FNN) with polynomial neural networks (PNN). FNN contributes to the formation of the premise part of the overall rule-based structure of the gRFPNN. The consequence part of the gRFPNN is designed using PNNs. At the premise part of the gRFPNN, FNN exploits fuzzy set based approach designed by using space partitioning in terms of individual variables and comes in two fuzzy inference forms: simplified and linear. As the consequence part of the gRFPNN, the development of the genetically optimized PNN dwells on two general optimization mechanism: the structural optimization is realized via GAs whereas in case of the parametric optimization we proceed with a standard least square method-based learning. To evaluate the performance of the gRFPNN, the models are experimented with the use of several representative numerical examples. A comparative analysis shows that the proposed gRFPNN are models with higher accuracy as well as more superb predictive capability than other intelligent models presented previously.

퍼지 클러스터링 이용한 고농도오존예측 (Forecasting High-Level Ozone Concentration with Fuzzy Clustering)

  • 김재용;김성신;왕보현
    • 한국지능시스템학회논문지
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    • 제11권4호
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    • pp.336-339
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    • 2001
  • 오존농도 메커니즘은 매우 복잡하고, 비선형성과 비정상성이 강하기 때문에 오존 예보시스템들은 많은 문제점을 가지고 있다. 특히 고농도 오존에 있어서 예측결과들이 성능이 좋지 않다. 본 논문은 뉴로-퍼지기법과 퍼지 클러스터링을 이용한 오존 예측시스템의 모델링 방법을 설명하고자 한다. GMDH의 전형적인 알고리즘에 기초한 동적 다항식 신경망은 데이터 분석, 비선형적이고 복잡한 시스템의 검증 그리고 동적 시스템의 예측을 위한 유용한 방법이다.

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GMDH 알고리즘을 이용한 모델링 및 제어에 관한 연구 (A Study onthe Modelling and control Using GMDH Algorithm)

  • 최종헌;홍연찬
    • 한국지능시스템학회논문지
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    • 제7권3호
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    • pp.65-71
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    • 1997
  • 신경 회로망의 출현으로 비선형 시스템 모델링에 대한 관힘이 다시 고조되고 있다. 따라서 본 논문에서는 미지의 비선형 시스템을 동적으로 인식하기 위해 GMDH(Group Method of Data Handling) 일고리즘을 사용한 DPNN(Dynamic Polynomial Neural Network)을 제안한다. GMDH를 사용한 동적 시스템의 인신은 일렬의 입/출력 데이타를 인가하여 필요한 계수들의 집합을 동적으로 산출함으로써 훈련시킨다. 또한 DPNN을 이용하여 비선형 시스템을 제어하기 위해, MRA(Model Reference Adaptive Control)를 설계한다. 결과에서 컴퓨터 시뮬레이션을 통해 DPNN을 사용한 모델링과 제어가 잘 수행됨을 알 수 있었다.

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A New Architecture of Genetically Optimized Self-Organizing Fuzzy Polynomial Neural Networks by Means of Information Granulation

  • Park, Ho-Sung;Oh, Sung-Kwun;Ahn, Tae-Chon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1505-1509
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    • 2005
  • This paper introduces a new architecture of genetically optimized self-organizing fuzzy polynomial neural networks by means of information granulation. The conventional SOFPNNs developed so far are based on mechanisms of self-organization and evolutionary optimization. The augmented genetically optimized SOFPNN using Information Granulation (namely IG_gSOFPNN) results in a structurally and parametrically optimized model and comes with a higher level of flexibility in comparison to the one we encounter in the conventional FPNN. With the aid of the information granulation, we determine the initial location (apexes) of membership functions and initial values of polynomial function being used in the premised and consequence part of the fuzzy rules respectively. The GA-based design procedure being applied at each layer of genetically optimized self-organizing fuzzy polynomial neural networks leads to the selection of preferred nodes with specific local characteristics (such as the number of input variables, the order of the polynomial, a collection of the specific subset of input variables, and the number of membership function) available within the network. To evaluate the performance of the IG_gSOFPNN, the model is experimented with using gas furnace process data. A comparative analysis shows that the proposed IG_gSOFPNN is model with higher accuracy as well as more superb predictive capability than intelligent models presented previously.

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