• 제목/요약/키워드: nonlinear scaling

검색결과 122건 처리시간 0.037초

구속조건식이 있는 비선형 최적화 문제를 위한 ALM방법의 성능향상 (Computational enhancement to the augmented lagrange multiplier method for the constrained nonlinear optimization problems)

  • 김민수;김한성;최동훈
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.544-556
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    • 1991
  • The optimization of many engineering design problems requires a nonlinear programming algorithm that is robust and efficient. A general-purpose nonlinear optimization program IDOL (Interactive Design Optimization Library) is developed based on the Augmented Lagrange Mulitiplier (ALM) method. The ideas of selecting a good initial design point, using resonable initial values for Lagrange multipliers, constraints scaling, descent vector restarting, and dynamic stopping criterion are employed for computational enhancement to the ALM method. A descent vector is determined by using the Broydon-Fletcher-Goldfarb-Shanno (BFGS) method. For line search, the Incremental-Search method is first used to find bounds on the solution, then the bounds are reduced by the Golden Section method, and finally a cubic polynomial approximation technique is applied to locate the next design point. Seven typical test problems are solved to show IDOL efficient and robust.

Rhino XR-2 로보트의 퍼지 혼성 제어 (Fuzzy Hybrid Control of Rhino XR-2 Robot)

  • 변대열;성홍석;이쾌희
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1993년도 정기총회 및 추계학술대회 논문집 학회본부
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    • pp.299-303
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    • 1993
  • There can be two methods in control systems: one is to use a linear controller, the other is to use a nonlinear controller. The PID controller and the fuzzy controller can be said to belong the linear and the nonlinear controller respectively. In this paper, a new hybrid controller which is consist of the linear PID controller of which the gain is tuned and the nonlinear self tuning fuzzy controller is proposed. In the PID controller, an algorithm which parameterizes the proportional, the intergral, and the derivative gain as a single parameter is used to improve the performance of the PID controller. In the self tuning fuzzy controller, an algorithm which changes the shape of the triangle membership function and changes the scaling factor which is multiplied to the error and the error change. The evaluation of the performance of the suggested algorithm is carried on by the simulation for the Rhino XH-2 robot manipulator with 5 links revolute joints.

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가변 축척 매개변수를 가진 변형 확률적 경사도 기반 필터의 해석 (Analysis of a Modified Stochastic Gradient-Based Filter with Variable Scaling Parameter)

  • 김해정
    • 한국통신학회논문지
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    • 제31권12C호
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    • pp.1280-1287
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    • 2006
  • 본 논문은 변형 확률적 경사도 기반 (MSGB) 필터를 제안하고 그 필터가 최적화 문제에 대한 해가 될 수 있음을 보여준다. 갱신항으로 첨가된 가변적 축척 매개변수를 가진 비선형 적응 필터인 MSGB 필터의 특성을 분석 한다. 가변 매개변수의 MSGB 필터는 가변 축척 매개변수를 통하여 고정 매개변수의 MSGB 필터와 무매개변수의 MSGB 필터를 연결하는 역할을 한다. 그 안정성 영역과 오조정량도 살펴본다. 시스템 식별에 응용하여 컴퓨터 모의실험을 실행하여 MSGB 필터의 개선된 성능 특성을 보여준다.

Design of Fuzzy PD+I Controller Based on PID Controller

  • Oh, Sea-June;Yoo, Heui-Han;Lee, Yun-Hyung;So, Myung-Ok
    • 한국항해항만학회지
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    • 제34권2호
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    • pp.117-122
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    • 2010
  • Since fuzzy controllers are nonlinear, it is more difficult to set the controller gains and to analyse the stability compared to conventional PID controllers. This paper proposes a fuzzy PD+I controller for tracking control which uses a linear fuzzy inference(product-sum-gravity) method based on a conventional linear PID controller. In this scheme the fuzzy PD+I controller works similar to the control performance as the linear PD plus I(PD+I) controller. Thus it is possible to analyse and design an fuzzy PD+I controller for given systems based on a linear fuzzy PD controller. The scaling factors tuning scheme, another topic of fuzzy controller design procedure, is also introduced in order to fine performance of the fuzzy PD+I controller. The scaling factors are adjusted by a real-coded genetic algorithm(RCGA) in off-line. The simulation results show the effectiveness of the proposed fuzzy PD+I controller for tracking control problems by comparing with the conventional PID controllers.

비선형 스케일링 함수를 이용한 어안 영상의 원근 변환 (Conversion of Fisheye Image to Perspective Image Using Nonlinear Scaling Function)

  • 김태우;조태경
    • 한국산학기술학회논문지
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    • 제10권1호
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    • pp.117-121
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    • 2009
  • 어안 렌즈 카메라로 촬영한 어안 영상은 일반 카메라 영상보다 화각이 크다. 반면 영상에서 피사체의 왜곡이 커서 사용자의 인지가 어려우므로 원근 영상으로 변환이 필요하다. 기존의 Ishii 방법[1]은 등거리 투영을 사용하므로 피사체가 변환 영상에서 크기와 기하학적 왜곡이 생기는 문제점을 가지고 있었다. 본 논문에서는 스케일링 함수를 이용한 어안 영상의 원근 영상 변환 방법을 제안하였다. 실험에서, 제안한 방법은 스케일링 함수를 적용함으로써 크기 왜곡과 기하학적 왜곡이 감소되었다.

Semi-rigid connection modeling for steel frameworks

  • Liu, Yuxin
    • Structural Engineering and Mechanics
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    • 제35권4호
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    • pp.431-457
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    • 2010
  • This article provides a discussion of the mathematic modeling of connections for designing and qualifying structures, systems, and components subject to monotonic or cyclic loading. To characterize the force-deformation behavior of connections under monotonic loading, a review of the Ramberg-Osgood, Richard-Abbott, and Menegotto-Pinto models is conducted, and it is shown that these nonlinear functions can be mathematically derived by scaling up or down a linear force-deformation function. A generalized four-parameter model for simulating connection behavior is investigated to facilitate nonlinear regression analysis. In order to perform seismic analysis of frameworks, a hysteretic model accounting for loading, unloading, and reloading is described using the established monotonic model. For preliminary analysis, a method is provided to quickly determine the model parameters that fit approximately with the observed data. To reach more accurate values of the parameters, the methods of nonlinear regression analysis are investigated and the modified Levenberg-Marquardt and separable nonlinear least-square algorithms are applied in determining the model parameters. Example case studies illustrate the procedure for the computation through the use of experimental/analytical data taken form the literature. Transformation of connection curves from the three-parameter model to the four-parameter model for structural analysis is conducted based on the modeling of connections subject to fire.

다중 분산점 칼만필터를 이용한 급격한 구조손상 탐지 기법 개발 (Unscented Kalman Filter with Multiple Sigma Points for Robust System Identification of Sudden Structural Damage)

  • 이세혁;이상리;이진호
    • 한국전산구조공학회논문집
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    • 제36권4호
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    • pp.233-242
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    • 2023
  • 본 논문에서는 다중 시그마포인트 세트(MSP)를 사용하는 분산점 칼만필터(UKF)인 UKF-MSP를 소개한다. 비선형 동적시스템을 표현하기 위해 널리 알려진 Bouc-Wen 모델을 사용하였고, 비선형성 고려가 가능한 칼만필터 중 UKF를 선정하였다. 그런데 UKF는 두 가지 인공오차와 시그마포인트의 분포를 결정하는 스케일링 파라미터의 값을 튜닝(Tuning)하는 과정을 통해 적절히 설정해야만 대상 동적시스템의 추정하고자 하는 상태(State)를 정확히 추정할 수가 있다. 본 논문에서는 후자의 스케일링 파라미터 설정 문제를 완화하고자 하였으며, MSP를 사용함으로써 기존 UKF에 비해 칼만필터 튜닝 과정에 덜 민감한 UKF-MSP를 제안하였다. 지진으로 인한 급격한 구조손상 시나리오에 대해 UKF-MSP의 안정성을 검증하였다. 제안된 방법은 튜닝과정을 완화함과 동시에 다른 칼만필터 파라미터인 인공오차에 대해서도 덜 민감한 거동을 보임을 확인하였다.

구조물 동적해석을 위한 현행 내진설계기준의 입력 지반 운동 선정 조건 타당성 평가 - I 선정방법 (Assessment of Code-specified Ground Motion Selection Criteria with Accurate Selection and Scaling Methods - I Ground Motion Selection)

  • 하성진;한상환;지현우
    • 한국지진공학회논문집
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    • 제21권4호
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    • pp.171-179
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    • 2017
  • For estimating the seismic demand of buildings, most seismic design provisions permit conducting linear and nonlinear response history analysis. In order to obtain reliable results from response history analyses, a proper selection of input ground motions is required. In this study, an accurate algorithm for selecting and scaling ground motions is proposed, which satisfies the ASCE 7-10 criteria. In the proposed algorithm, a desired number of ground motions are sequentially scaled and selected from a ground motion library without iterations.

A TWO-LEVEL FINITE ELEMENT METHOD FOR THE STEADY-STATE NAVIER-STOKES/DARCY MODEL

  • Fang, Jilin;Huang, Pengzhan;Qin, Yi
    • 대한수학회지
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    • 제57권4호
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    • pp.915-933
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    • 2020
  • A two-level finite element method based on the Newton iterative method is proposed for solving the Navier-Stokes/Darcy model. The algorithm solves a nonlinear system on a coarse mesh H and two linearized problems of different loads on a fine mesh h = O(H4-𝜖). Compared with the common two-grid finite element methods for the considered problem, the presented two-level method allows for larger scaling between the coarse and fine meshes. Moreover, we prove the stability and convergence of the considered two-level method. Finally, we provide numerical experiment to exhibit the effectiveness of the presented method.

A rapid screening method for selection and modification of ground motions for time history analysis

  • Behnamfar, Farhad;Velni, Mehdi Talebi
    • Earthquakes and Structures
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    • 제16권1호
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    • pp.29-39
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    • 2019
  • A three-step screening process is presented in this article for selection of consistent earthquake records in which number of suitable ground motions is quickly screened and reduced to a handful number. Records that remain at the end of this screening process considerably reduce the dispersion of structural responses. Then, an effective method is presented for spectral matching and modification of the selected records. Dispersion of structural responses is explored using different statistical measures for each scaling procedure. It is shown that the Uniform Design Method, presented in this study for scaling of earthquake records, results in most cases in the least dispersion measure.