• 제목/요약/키워드: Complex Function Theory

검색결과 158건 처리시간 0.027초

자유 곡면으로 구성되는 3차원 구조물에 대한 자동 요소 분할 (Automatic Mesh Generation for Three-Dimensional Structures Consisting of Free-Form Surfaces)

  • 이준성;;박면웅
    • 한국CDE학회논문집
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    • 제1권1호
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    • pp.65-75
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    • 1996
  • This paper describes an automatic finite element(FE) mesh generation for three-dimensional structures consisting of free-form surfaces. This mesh generation process consists of three subprocesses: (a) definition of geometric model, i.e. analysis model, (b) generation of nodes, and (c) generation of elements. One of commercial solid modelers is employed for three-dimensional solid and shell structures. Node is generated if its distance from existing node points is similar to the node spacing function at the point. The node spacing function is well controlled by the fuzzy knowledge processing. The Delaunay method is introduced as a basic tool for element generation. Automatic generation of FE meshes for three-dimensional solid and shell structures holds great benefits for analyses. Practical performances of the present system are demonstrated through several mesh generations for three-dimensional complex geometry.

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Fuzzy Identification by Means of an Auto-Tuning Algorithm and a Weighted Performance Index

  • 오성권
    • 한국지능시스템학회논문지
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    • 제8권6호
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    • pp.106-118
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    • 1998
  • The study concerns a design procedure of rule-based systems. The proposed rule-based fuzzy modeling implements system structure and parameter identification in the efficient from of "IF..., THEN..." statements, and exploits the theory of system optimization and fuzzy implication rules. The method for rule-based fuzzy modeling concerns the from of the conclusion part of the the rules that can be constant. Both triangular and Gaussian-like membership function are studied. The optimization hinges on an autotuning algorithm that covers as a modified constrained optimization method known as a complex method. The study introduces a weighted performance index (objective function) that helps achieve a sound balance between the quality of results produced for the training and testing set. This methodology sheds light on the role and impact of different parameters of the model on its performance. The study is illustrated with the aid of two representative numerical examples.

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DIDF를 이용한 PID제어기의 성능향상에 관한 연구 (Performance Improvement for PID Controllers by using Dual-Input Describing Function (DIDF) Method)

  • 최연욱
    • 전기학회논문지
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    • 제60권9호
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    • pp.1741-1747
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    • 2011
  • Though various techniques have been studied as a way of adjusting parameters of PID controllers, no perfect method of determining parameters is available to date. This paper proposes a new method for enhancing performance of PID controllers by using the characteristics of dual-input describing function (DIDF). In other words, if nonlinear elements with two inputs (DIDF) are connected in series to the plant, the critical point (-1+j0) for Nyquist stability theory can be moved to a position arbitrarily selected on the complex plane by determining necessary coefficients of the DIDF appropriately. This makes the application of the existing conventional PID parameter tuning methods a lot easier, and stability and robustness of the system are improved simultaneously due to the DIDF inserted.

복소수 평면에서 안정한 유리함수에 의한 curve-fitting (Curve-fitting in complex plane by a stable rational function)

  • 최종호;황진권
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1986년도 한국자동제어학술회의논문집; 한국과학기술대학, 충남; 17-18 Oct. 1986
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    • pp.119-122
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    • 1986
  • An algorithm is proposed to find a stable rational function, which is frequently used in the linear system theory, by curve-fitting a given data. This problem is essentially a nonolinear optimization problem. In order to converge faster to the solution, the following method is used. First, the coefficients of the denominator polynomial are fixed and only the coefficients of the numerator polynomial are adjusted by its linear relationships. Then the coefficients of the numerator are fixed and the coefficients of the denominator polynomial are adjusted by nonlinear programming. This whole process is repeated until a convergent solution is found. The solution obtained by this method converges better than by other algorithms and its versatility is demonstrated by applying it to the design of a feedback control system and a low pass filter.

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Development of High-Performance FEM Modeling System Based on Fuzzy Knowledge Processing

  • Lee, Joon-Seong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제4권2호
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    • pp.193-198
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    • 2004
  • This paper describes an automatic finite element (FE) mesh generation for three-dimensional structures consisting of tree-form surfaces. This mesh generation process consists of three subprocesses: (a) definition of geometric model, (b) generation of nodes, and (c) generation of elements. One of commercial solid modelers is employed for three-dimensional solid structures. Node is generated if its distance from existing node points is similar to the node spacing function at the point. The node spacing function is well controlled by the fuzzy knowledge processing. The Voronoi diagram method is introduced as a basic tool for element generation. Automatic generation of FE meshes for three-dimensional solid structures holds great benefits for analyses. Practical performances of the present system are demonstrated through several mesh generations for three-dimensional complex geometry.

퍼지이론을 이용한 FEM 모델링을 위한 자동 요소분할 시스템 (Automatic Mesh Generation System for a Novel FEM Modeling Based on Fuzzy Theory)

  • 이준성;이양창;최윤종
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2005년도 춘계학술대회 학술발표 논문집 제15권 제1호
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    • pp.139-142
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    • 2005
  • This paper describes an automatic finite element (FE) mesh generation for three-dimensional structures consisting of free-form surfaces. This mesh generation process consists of three subprocesses: (a) definition of geometric model, i.e. analysis model, (b) generation of nodes, and (c) generation of elements. One of commercial sol id modelers is employed for three-dimensional sol id structures. Node is generated if its distance from existing node points is similar to the node spacing function at the point. The node spacing function is well control led by the fuzzy knowledge processing. The Delaunay method is introduced as a basic tool for element generation. Automatic generation of FE meshes for three-dimensional sol id structures holds great benefits for analyses. Practical performances of the present system are demonstrated through several mesh generations for three-dimensional complex geometry.

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A Double Auction Model based on Nonlinear Utility Functions;Genetic Algorithms Approach for Market Optimization

  • 최진호;안현철
    • 한국지능정보시스템학회:학술대회논문집
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    • 한국지능정보시스템학회 2007년도 추계학술대회
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    • pp.592-601
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    • 2007
  • In the conventional double auction approaches, two basic assumptions are usually applied - (1) each trader has a linear or quasi-linear utility function of price and quantity, (2) buyers as well as sellers have identical utility functions. However, in practice, these assumptions are unrealisitc. Therefore, a flexible and integrated double auction mechanism that can integrate all traders' diverse utility functions is necessary. We propose a double auction mechanism with resource allocation based on nonlinear utility functions, namely a flexible synchronous double auction system where each participant can express a diverse utility function on the price and quantity. In order to optimize the total market utility consists of multiple complex utility functions of traders, our study proposes a genetic algorithm (GA) We show the viability of the proposed mechanism through several simulation experiments.

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지진에 대한 지반-구조물 상호작용의 확률론적 연구 (A Probabilistic Analysis of Soil- Structure Interaction Subjected to Seismic Loading)

  • 이인모;김용진;이정학
    • 한국지반공학회지:지반
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    • 제6권2호
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    • pp.5-20
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    • 1990
  • 지반-구조물의 동적 상호작용 해석에 있어서, 흙의 특성치들 뿐만 아니라 입력지진 자체도 무척 Random하다. 본 논문에서는 이 Randomness를 고려하기 위하여 확률론적 방법을 적용하여 상호작용 해석에 미치는 영향을 연구하였다. 이 확률론적 적용을 위해 Elastic Half Space 이론에 의해 얻어진 Complex Response 방법, Random Vibration Theory와 Rosenblueth의 Two Point Estimate 방법을 사용하여 해석을 수행하여 다음과 같은 결론을 얻었다. 1) 흙의 동적 특성치 뿐만 아니라 Kanai-Tajimi에 의하여 제안된 입력지진의 PSD Function 의 불확정성도 상당히 큼을 알 수 있었다. 이때의 Parameter의 변동계수는 0.4에서 0.6의 범위를 갖는다. 2) 흙의 동적 특성치의 불확정성의 영향이 입력지진의 그것보다는 구조물에 미치는 영향이 큼 을 알 수 있었다. 3) 입력지진과 흙의 동적 특성치 사이의 상관계수에 의한 영향은 무척 작음을 알 수 있었다.

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A Fast Anti-jamming Decision Method Based on the Rule-Reduced Genetic Algorithm

  • Hui, Jin;Xiaoqin, Song;Miao, Wang;Yingtao, Niu;Ke, Li
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권9호
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    • pp.4549-4567
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    • 2016
  • To cope with the complex electromagnetic environment of wireless communication systems, anti-jamming decision methods are necessary to keep the reliability of communication. Basing on the rule-reduced genetic algorithm (RRGA), an anti-jamming decision method is proposed in this paper to adapt to the fast channel variations. Firstly, the reduced decision rules are obtained according to the rough set (RS) theory. Secondly, the randomly generated initial population of the genetic algorithm (GA) is screened and the individuals are preserved in accordance with the reduced decision rules. Finally, the initial population after screening is utilized in the genetic algorithm to optimize the communication parameters. In order to remove the dependency on the weights, this paper deploys an anti-jamming decision objective function, which aims at maximizing the normalized transmission rate under the constraints of minimizing the normalized transmitting power with the pre-defined bit error rate (BER). Simulations are carried out to verify the performance of both the traditional genetic algorithm and the adaptive genetic algorithm. Simulation results show that the convergence rates of the two algorithms increase significantly thanks to the initial population determined by the reduced-rules, without losing the accuracy of the decision-making. Meanwhile, the weight-independent objective function makes the algorithm more practical than the traditional methods.

데이터 정보입자 기반 퍼지 추론 시스템의 최적화 (Optimization of Fuzzy Inference Systems Based on Data Information Granulation)

  • 오성권;박건준;이동윤
    • 대한전기학회논문지:시스템및제어부문D
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    • 제53권6호
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    • pp.415-424
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    • 2004
  • In this paper, we introduce and investigate a new category of rule-based fuzzy inference system based on Information Granulation(IG). The proposed rule-based fuzzy modeling implements system structure and parameter identification in the efficient form of “If..., then...” statements, and exploits the theory of system optimization and fuzzy implication rules. The form of the fuzzy rules comes with three types of fuzzy inferences: a simplified one that involves conclusions that are fixed numeric values, a linear one where the conclusion part is viewed as a linear function of inputs, and a regression polynomial one as the extended type of the linear one. By the nature of the rule-based fuzzy systems, these fuzzy models are geared toward capturing relationships between information granules. The form of the information granules themselves becomes an important design features of the fuzzy model. Information granulation with the aid of HCM(Hard C-Means) clustering algorithm hell)s determine the initial parameters of rule-based fuzzy model such as the initial apexes of the membership functions and the initial values of polynomial function being used in the Premise and consequence Part of the fuzzy rules. And then the initial Parameters are tuned (adjusted) effectively with the aid of the improved complex method(ICM) and the standard least square method(LSM). In the sequel, the ICM and LSM lead to fine-tuning of the parameters of premise membership functions and consequent polynomial functions in the rules of fuzzy model. An aggregate objective function with a weighting factor is proposed in order to achieve a balance between performance of the fuzzy model. Numerical examples are included to evaluate the performance of the proposed model. They are also contrasted with the performance of the fuzzy models existing in the literature.