• 제목/요약/키워드: Nonlinear Optimization Model

검색결과 455건 처리시간 0.03초

C-Means 클러스터링 기반의 Type-2 퍼지 논리 시스템을 이용한 비선형 모델 설계 (Design of Nonlinear Model Using Type-2 Fuzzy Logic System by Means of C-Means Clustering)

  • 백진열;이영일;오성권
    • 한국지능시스템학회논문지
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    • 제18권6호
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    • pp.842-848
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    • 2008
  • 본 논문에서는 비선형 모델의 설계를 위해 Type-2 퍼지 논리 집합을 이용하여 불확실성 문제를 다룬다. 제안된 모델은 규칙의 전 후반부가 Type-2 퍼지 집합으로 주어진 Type-2 퍼지 논리 시스템을 설계하고 불확실성의 변화에 대한 비선형 모델의 성능을 해석한다 여기서 규칙 전반부 멤버쉽 함수의 정점 선택은 C-means 클러스터링 알고리즘을 이용하고, 규칙 무반부 퍼지 집합의 정점 결정에는 경사 하강법(Gradient descent method)을 이용한 오류 역전파 알고리즘을 사용하여 학습한다. 또한, 제안된 모델에 관련된 파라미터는 입자 군집 최적화(Particle Swarm Optimization; PSO) 알고리즘으로 동조한다. 제안된 모델은 모의 데이터집합(Synthetic dadaset), Mackey-Glass 시계열 공정 데이터를 적용하여 논증되고, 기존 Type-1 퍼지 논리 시스템과의 근사화 및 일반화 능력에 대하여 비교 토의한다.

비선형 최적화기법을 이용한 하지근력 예측 인체역학 모형

  • 황규성;정의승;이동춘
    • 대한인간공학회:학술대회논문집
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    • 대한인간공학회 1994년도 춘계학술대회논문집
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    • pp.124-135
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    • 1994
  • A biomechanical model of lower extremity in seated postures was developed to assess muscular activities of lower extremity involved in a variety of foot pedal operations. It is found that nonlinear optimization method which has been used for modeling the articulated body segments does not predict the forces generated from biarticular muscles reasonably, so the revised nonlinear optimization scheme was employed to consider the synergistic effects of biarticular muscles in the model, assuming that the muscle forces are distributed proportionally based on their physiological cross sectional area and moment arm. The model incorporated four rigid body segments with the nine muscles to represent lower extreimity. For the model valida- tion, three male subjects performed the experiments in which EMG activities of the nine lower extremity muscles were measured. Predicted muscle forces were compared with the corresponding EMG amplitudes and it showed no statistical difference. The developed model can be used to design and to assess the pedals and foot-related equipments design.

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Optimum Allocation of Reactive Power in Real-Time Operation under Deregulated Electricity Market

  • Rajabzadeh, Mahdi;Golkar, Masoud A.
    • Journal of Electrical Engineering and Technology
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    • 제4권3호
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    • pp.337-345
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    • 2009
  • Deregulation in power industry has made the reactive power ancillary service management a critical task to power system operators from both technical and economic perspectives. Reactive power management in power systems is a complex combinatorial optimization problem involving nonlinear functions with multiple local minima and nonlinear constraints. This paper proposes a practical market-based reactive power ancillary service management scheme to tackle the challenge. In this paper a new model for voltage security and reactive power management is presented. The proposed model minimizes reactive support cost as an economic aspect and insures the voltage security as a technical constraint. For modeling validation study, two optimization algorithm, a genetic algorithm (GA) and particle swarm optimization (PSO) method are used to solve the problem of optimum allocation of reactive power in power systems under open market environment and the results are compared. As a case study, the IEEE-30 bus power system is used. Results show that the algorithm is well competent for optimal allocation of reactive power under practical constraints and price based conditions.

BJT의 DC 해석 용 SPICE 모델 파라미터 추출 방법에 관한 연구 (A Study on the SPICE Model Parameter Extraction Method for the BJT DC Model)

  • 이은구
    • 전기학회논문지
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    • 제58권9호
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    • pp.1769-1774
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    • 2009
  • An algorithm for extracting the BJT DC model parameter values for SPICE model is proposed. The nonlinear optimization method for analyzing the device I-V data using the Levenberg-Marquardt algorithm is proposed and the method for calculating initial conditions of model parameters to improve the convergence characteristics is proposed. The base current and collector current obtained from the proposed method shows the root mean square error of 6.04% compared with the measured data of the PNP BJT named 2SA1980.

인공신경망 이론을 적용한 3단 축류압축기의 다분야 통합 최적설계 (Multidisciplinary Design Optimization of 3-Stage Axial Compressorusing Artificial Neural Net)

  • 홍상원;이세일;강형민;이동호;강영석;양수석
    • 한국유체기계학회 논문집
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    • 제13권6호
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    • pp.19-24
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    • 2010
  • The demands for small, high performance and high loaded aircraft compressor are increased in the world. But the design requirements become increasingly complex to design these high technical engines, the requirement of the design optimization become increased. The optimal design result of several disciplines show different tendencies and nonlinear characteristics of the compressor design, the multidisciplinary design optimization method must be considered in compressor design. Therefore, the artificial Neural Net method is adapted to make the approximation model of 3-stage axial compressor design optimization for considering the nonlinear characteristic. At last, the optimal result of this study is compared to that of previous study.

다제약식하에서의 최적중복설계에 관한 연구 (Redundancy Optimization under Multiple Constraints)

  • 윤덕균
    • 한국국방경영분석학회지
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    • 제11권2호
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    • pp.53-63
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    • 1985
  • This paper presents a multi-costraint optimization model for redundant system reliability. The optimization model is usually formulated as a nonlinear integer programming (NIP) problem. This paper reformulates the NIP problem into a linear integer programming (LIP) problem. Then an efficient 'Branch and Straddle' algorithm is proposed to solve the LIP problem. The efficiency of this algorithm stems from the simultaneous handling of multiple variables, unlike in ordinary branch and bound algorithms. A numerical example is given to illustrate this algorithm.

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A robust nonlinear mathematical programming model for design of laterally loaded orthotropic steel plates

  • Maaly, H.;Mahmoud, F.F.;Ishac, I.I.
    • Structural Engineering and Mechanics
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    • 제14권2호
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    • pp.223-236
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    • 2002
  • The main objective of the present paper is to address a formal procedure for orthotropic steel plates design. The theme of the proposed approach is to recast the design procedure into a mathematical programming model. The objective function to be optimized is the total weight of the structure. The total weight is function of its layout parameters and structural element design variables. Mean while the proposed approach takes into consideration the strength and rigidity criteria in addition to other dimensional constraints. A nonlinear programming model is developed which consists of a nonlinear objective function and a set of implicit/explicit nonlinear constraints. A transformation method is adopted for minimization strategy, where the primal model constrained problem is transformed into a sequence of unconstrained minimization models. The search strategy is based on the well-known Fletcher/Powell algorithm. The finite element technique is adopted for discretization and analysis strategies. Mindlin theory is selected to simulate the finite element model and a selective reduced integration scheme is exploited to avoid a shear lock problem.

A Novel Stabilizing Control for Neural Nonlinear Systems with Time Delays by State and Dynamic Output Feedback

  • Liu, Mei-Qin;Wang, Hui-Fang
    • International Journal of Control, Automation, and Systems
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    • 제6권1호
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    • pp.24-34
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    • 2008
  • A novel neural network model, termed the standard neural network model (SNNM), similar to the nominal model in linear robust control theory, is suggested to facilitate the synthesis of controllers for delayed (or non-delayed) nonlinear systems composed of neural networks. The model is composed of a linear dynamic system and a bounded static delayed (or non-delayed) nonlinear operator. Based on the global asymptotic stability analysis of SNNMs, Static state-feedback controller and dynamic output feedback controller are designed for the SNNMs to stabilize the closed-loop systems, respectively. The control design equations are shown to be a set of linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms to determine the control signals. Most neural-network-based nonlinear systems with time delays or without time delays can be transformed into the SNNMs for controller synthesis in a unified way. Two application examples are given where the SNNMs are employed to synthesize the feedback stabilizing controllers for an SISO nonlinear system modeled by the neural network, and for a chaotic neural network, respectively. Through these examples, it is demonstrated that the SNNM not only makes controller synthesis of neural-network-based systems much easier, but also provides a new approach to the synthesis of the controllers for the other type of nonlinear systems.

Power Series를 이용한 불확실성을 포함된 비선형 시스템의 지능형 디지털 재설계 (Intelligent Digital Redesign of Uncertain Nonlinear Systems Using Power Series)

  • 성화창;주영훈;박진배;김도완
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 학술대회 논문집 정보 및 제어부문
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    • pp.496-498
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    • 2005
  • 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 linear operators to be matched. Also by using the power series, 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).

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3-자유도 헬리콥터 시스템의 입자군집최적화 기법을 이용한 시스템 식별 (A Study on Identification using Particle Swarm Optimization for 3-DOF Helicopter System)

  • 이호운;김태우;김태형
    • 한국지능시스템학회논문지
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    • 제25권2호
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    • pp.105-110
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    • 2015
  • 본 연구는 Quanser사의 3-자유도 헬리콥터 시스템에 대한 종래의 선형 수리 모델을 개선한 수리 모델을 제안하고, 실험을 통해 제안된 수리 모델을 기반으로 설계된 제어기의 제어 성능을 종래의 수리 모델을 기반으로 설계된 제어기의 제어 성능과 비교함으로써 그 타당성을 검증한다. 이에 대한 연구 진행 과정은 다음과 같다. 첫째, 3-자유도 헬리콥터 시스템의 동 특성을 분석하고, 종래의 선형 수리 모델을 구축한다. 둘째, 종래의 수리 모델의 구축을 위해 수행된 선형화 과정에서 제거된 비선형적 요소들을 파악한다. 그리고 이 제거된 비선형적 요소들에 대응하는 파라미터들을 추가하여 개선된 수리 모델을 구축한다. 이 때, 수리 모델을 구축하기 위해 메타 휴리스틱 전역 최적화 기법인 입자군집최적화 알고리즘을 이용한다. 마지막으로, 제안된 모델을 기반으로 제어기를 설계하고, 이를 종래의 수리 모델을 기반으로 설계된 제어기의 제어 성능을 비교하여 제안된 수리 모델의 타당성을 검증한다.