• 제목/요약/키워드: Quadratic equation

검색결과 537건 처리시간 0.024초

수정된 GMDH 알고리즘 기반 다층 퍼지 추론 시스템에 관한 연구 (A Study on Multi-layer Fuzzy Inference System based on a Modified GMDH Algorithm)

  • 박병준;박춘성;오성권
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부 B
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    • pp.675-677
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    • 1998
  • In this paper, we propose the fuzzy inference algorithm with multi-layer structure. MFIS(Multi-layer Fuzzy Inference System) uses PNN(Polynomial Neural networks) structure and the fuzzy inference method. The PNN is the extended structure of the GMDH(Group Method of Data Hendling), and uses several types of polynomials such as linear, quadratic and cubic, as well as the biquadratic polynomial used in the GMDH. In the fuzzy inference method, the simplified and regression polynomial inference methods are used. Here, the regression polynomial inference is based on consequence of fuzzy rules with the polynomial equations such as linear, quadratic and cubic equation. Each node of the MFIS is defined as fuzzy rules and its structure is a kind of neuro-fuzzy structure. We use the training and testing data set to obtain a balance between the approximation and the generalization of process model. Several numerical examples are used to evaluate the performance of the our proposed model.

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Identification of Fuzzy Systems by means of the Extended GMDH Algorithm

  • Park, Chun-Seong;Park, Jae-Ho;Oh, Sung-Kwun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.254-259
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    • 1998
  • A new design methology is proposed to identify the structure and parameters of fuzzy model using PNN and a fuzzy inference method. The PNN is the extended structure of the GMDH(Group Method of Data Handling), and uses several types of polynomials such as linear, quadratic and cubic besides the biquadratic polynomial used in the GMDH. The FPNN(Fuzzy Polynomial Neural Networks) algorithm uses PNN(Polynomial Neural networks) structure and a fuzzy inference method. In the fuzzy inference method, the simplified and regression polynomial inference methods are used. Here a regression polynomial inference is based on consequence of fuzzy rules with a polynomial equations such as linear, quadratic and cubic equation. Each node of the FPNN is defined as fuzzy rules and its structure is a kind of neuro-fuzzy architecture. In this paper, we will consider a model that combines the advantage of both FPNN and PNN. Also we use the training and testing data set to obtain a balance between the approximation and generalization of process model. Several numerical examples are used to evaluate the performance of the our proposed model.

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P-e 곡선의 타원 특성을 이용한 전력계통 최대허용부하의 예측 (Estimation of Maximum Loadability in Power Systems By Using Elliptic Properties of P-e Curve)

  • 문영현;최병곤;조병훈;이태식
    • 대한전기학회논문지:전력기술부문A
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    • 제48권1호
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    • pp.22-30
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    • 1999
  • This paper presents an efficient algorithm to estimate the maximum load level for heavily loaded power systems with the load-generation vector obtained by ELD (Economic Load Dispach) and/or short term load forecasting while utilizing the elliptic pattern of the P-e curve. It is well known the power flow equation in the rectangular corrdinate is jully quadratic. However, the coupling between e and f makes it difficult to take advantage of this quadratic characteristic. In this paper, the elliptic characteristics of P-e curve are illustrated and a simple technique is proposed to reflect the e-f coupling effects on the estimation of maximum loadability with theoretical analysis. An efficient estimation algorithm has been developed with the use of the elliptic properties of the P-e curve. The proposed algorithm is tested on IEEE 14 bus system, New England 39 bus system and IEEE 118 bus system, which shows that the maximum load level can be efficiently estimated with remarkable improvement in accuracy.

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최적제어이론에 의한 원자로 제어봉속도의 설계 (The Control Rod Speed Design for the Nuclear Reactor Power Control Using Optimal Control Theory)

  • Lee, Yoon-Joon
    • Nuclear Engineering and Technology
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    • 제26권4호
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    • pp.536-547
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    • 1994
  • 본 논문에서는 최적제어기법을 이용한 원자로 출력 제어시스템을 다루었다. 시스템 변수들을 상태변수로 표시하면 관측치 뿐만 아니라 시스템 내부의 모든 상태변수를 동시에 다룰 수 있으므로 설계의 자유도가 증가될 수 있다. 따라서 본 논문에서는 원자로의 동특성식과 열수력학적 에너지 평형식을 사용하여 원자로를 모델링한 후 이를 상태변수로 나타내었다. 다음으로는 LQR 및 LQG 시스템을 설계하여 제어봉 및 출력의 거동을 동시에 만족시킬 수 있는 설계조건을 결정하였다. 또한 서보 시스템의 설계를 위해 보통의 휘드백 시스템과 차수를 증가시킨 레귤레이팅 시스템을 만들어 비교하였으며 그 결과 증가차수 레귤레이팅 시스템이 보통의 휘드백 시스템에 비해 우수한 제어 특성이 있음을 알 수 있었다.

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시뮬레이션 데이터를 이용한 횡경사 각도 예측 방법 연구 (Study of the Heeling Angle Prediction by using Simulation Data)

  • 윤동협;박충환;임남균
    • 한국항해항만학회지
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    • 제43권4호
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    • pp.231-236
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    • 2019
  • 선박의 대형화, 고속화 및 선종의 다양화는 운송수단 중 해양 운송수단의 비중을 크게 증가시켰으나 동시에, 선박사고의 발생도 같이 증가 되었다. 선박사고의 발생은 생명과 재산의 손실뿐만 아니라 환경재해까지 일으키기 때문에 막대한 경제적, 환경적인 영향을 끼치게 된다. 특히, 여객선의 경우 인명의 피해가 크게 발생하기 때문에 선박사고를 예방하기 위한 방법들이 논의 되어 지고 있다. 본 연구에서는 여객선의 횡경사 각도를 바탕으로 전복의 위험까지 가게 되는 시간을 예측하여 위험시간에 도달하기 전에 인명을 대피할 수 있는 기초 자료를 제공하고자 하였다. 2012년~2016년 사이 침몰사고를 바탕으로 특정 시나리오를 설정하였으며, PRR1의 데이터를 MOSES V20을 이용하여 시뮬레이션을 수행하였다. 시뮬레이션 결과는 시간에 따른 횡경사 각도이며, 횡경사 에측을 위한 1차, 2차 방정식을 이용하여 시뮬레이션 결과와 비교하였다. 1차방정식의 경우 시뮬레이션 데이터가 선형적인 그래프를 나타내었기 때문에 낮은 오차율을 보이고 있으며, 2차방정식의 경우 초기에는 낮은 오차율을 보이고 있으나 추후 발생되는 각도에 대해서는 높은 오차율을 보이고 있었다.

고차경계요소법에 의한 선체주위 유동해석 (Analysis of Steady and Unsteady Flow Around a Ship Using a Higher-Order Boundary Element Method)

  • 홍사영;최항순
    • 대한조선학회논문집
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    • 제32권1호
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    • pp.42-57
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    • 1995
  • 자유표면의 유동문제는 저항추진성능과 내항성능이 우수한 선박과 파랑중 작업성능이 우수한 해양구조물의 설계와 관련되어 조선해양공학분야에서 지속적으로 관심의 대상이 되어온 연구분야이다. 본 논문에서는 선체주위 유동을 정확하고 효율적으로 해석하기 위한 3차원 수치해법의 개발을 목적으로 하였다. 수치해법으로 경계요소법을 사용하였으며, 그린함수는 간단한 랜킨소오스를 사용하였다. 전 경계요소면은 8점 경계요소로 표시하여 기하학적 특성을 정밀하게 반영하고자 하였다. 자유표면에서 속도포텐셜의 변화를 정규화된 8점 경계요소에서 이중 2차 스플라인함수(bi-quadratic spline function)로 표시함으로써 자유표면에서의 수치감쇠 및 분산오차를 개선하였다. 한편 물체표면에서의 물리량은 8점 경계요소의 특성을 살려 이중 2차 다항식(bi-quadratic function)으로 근사하였다. 이와같이 계산영역에 따라 해의 특성에 부합하는 수치방법을 채택함으로써 수치해의 정확성과 효율성이 향상되도록 하였다. 개발한 수치해법의 효능을 검증하기 위해 계산예로서 정상유동 및 비정상유동의 경우 Neumann-Kelvin문제를 다루었다. 본 방법에 의한 몰수 타원체 및 Series 60선에 대한 조파저항 계산결과는 적은 파넬수를 사용하고도 기존의 계산치는 물론 실험치와 좋은 일치를 보였다. 변형된 Wigley선형에 대한 동유체력 계산결과도 기존의 실험치 및 계산치와 비교적 잘 일치하였다. 비정상 유동의 경우 랜킨소오스법에서 일반적으로 적용하는 상류방사조건은 무차원주파수가 1/4보다 큰 경우에만 유효하므로, 본 논문에서는 파동방정식 연산자를 이용하여 무차원주파수가 1/4보다 작은 경우에 적용할 수 있는 상류방사조건을 유도하였다. 수면하에서 전진하며 동요하는 소오스에 대하여 적용한 결과 본 논문에서 유도한 방사조건이 유효함을 입증하였다.

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폐석분 함유율에 따른 최적의 콘크리트 탄성계수 추정 (Presumption of Optimum Concrete Elastic Modulus according to Content of Crushed Stone Powder)

  • 박도경;양극영
    • 한국건축시공학회지
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    • 제6권1호
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    • pp.101-107
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    • 2006
  • While a Study with regard to the measurement on Concrete Strength and the Change of Drying Shrinkage in accordace with Content Ratio of Crushed Stone Powder, it is being analyzed as the result that the strength according to Content Ratio of crushed Stone Powder is somewhat lowering. Accordingly, it is the real situation that the Concrete mixed with Crushed Stone Powder is utilized for non-structural material, not for the structural material. Therefore, this Research willing to furnish the suitable utilizing scheme for construction site as well as practical life by means of conduct the experiment on both Concrete Pressure Strength according to mixture with Crushed Stone Powder and Elastic Modulus, it also presumes the optimum Elastic Modulus Equation after analysis of comparison with common concrete strength. As the result of the experiment, in case of the Content Ratio of Crushed Stone Powder is less than 5%, it did not display a big difference in its both strength and matter-property compare with common concrete. In case of Elastic Modulus, when the Pressure Strength is 50% and 40% respectively, the Elastic Modulus Equation accords very well with the provided condition of Quadratic function, and as the result of the Presumption on Elastic Modulus according to Content of Crushed Stone Powder, in case the Pressure Strength is 50%, Elastic Modulus Equation showed that Error Ratio of Cubic function is at degree of 0.0005%, in case the Pressure Strength is 40%, Elastic Modulus Equation was accorded well with the value of the experimental data likely as the Error Ratio of Cubic function is at the degree around 0.0034%, respectively.

Active control of a flexible structure with time delay

  • Cai, Guo-Ping;Yang, Simon X.
    • Structural Engineering and Mechanics
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    • 제20권2호
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    • pp.191-207
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    • 2005
  • Time delay exists inevitably in active control, which may not only degrade the system performance but also render instability to the dynamic system. In this paper, a novel active controller is developed to solve the time delay problem in flexible structures. By using the independent modal space control method, the differential equation of the controlled mode with time delay is obtained from the time-delay system dynamics. Then it is discretized and changed into a first-order difference equation without any explicit time delay by augmenting the state variables. The modal controller is derived based on the augmented system using the discrete variable structure control method. The switching surface is determined by minimizing a discrete quadratic performance index. The modal coordinate is extracted from sensor measurements and the actuator control force is converted from the modal one. Since the time delay is explicitly included throughout the entire controller design without any approximation, the system performance and stability are guaranteed. Numerical simulations show that the proposed controller is feasible and effective in active vibration control of dynamic systems with time delay. If the time delay is not explicitly included in the controller design, instability may occur.

Sparsity-constrained Extended Kalman Filter concept for damage localization and identification in mechanical structures

  • Ginsberg, Daniel;Fritzen, Claus-Peter;Loffeld, Otmar
    • Smart Structures and Systems
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    • 제21권6호
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    • pp.741-749
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    • 2018
  • Structural health monitoring (SHM) systems are necessary to achieve smart predictive maintenance and repair planning as well as they lead to a safe operation of mechanical structures. In the context of vibration-based SHM the measured structural responses are employed to draw conclusions about the structural integrity. This usually leads to a mathematically illposed inverse problem which needs regularization. The restriction of the solution set of this inverse problem by using prior information about the damage properties is advisable to obtain meaningful solutions. Compared to the undamaged state typically only a few local stiffness changes occur while the other areas remain unchanged. This change can be described by a sparse damage parameter vector. Such a sparse vector can be identified by employing $L_1$-regularization techniques. This paper presents a novel framework for damage parameter identification by combining sparse solution techniques with an Extended Kalman Filter. In order to ensure sparsity of the damage parameter vector the measurement equation is expanded by an additional nonlinear $L_1$-minimizing observation. This fictive measurement equation accomplishes stability of the Extended Kalman Filter and leads to a sparse estimation. For verification, a proof-of-concept example on a quadratic aluminum plate is presented.

병렬형 역진자와 비선형 $H_2$/H_{\infty}강인제어 (Robust Nonlinear $H_2$/$H_{\infty}$Control for a Parallel Inverted Pendulum)

  • 한성익;김종식
    • 대한기계학회논문집A
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    • 제24권4호
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    • pp.1065-1074
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    • 2000
  • A robust nonlinear $H_2$/$H_{\infty}$ control method for a parallel inverted pendulum with structured perturbation and dry friction is proposed. By the random input describing function techniques, the nonlinear dry friction is approximated into the quasi-linear system. Introducing the quadratic robustness theorem, the robust $H_2$/$H_{\infty}$ control system is constructed for the quasi-linear perturbed system. But it is difficult to design a controller due to the nonlinear correction term in Riccati equation. With some transformations on the Riccati equation containing nonlinear correction term, the design of the robust nonlinear controller can be done easily. Hence when the stiffness and mass of the parallel inverted pendulum vary in certain ranges, the proposed control scheme has the robustness for both the structured perturbation and dry friction. The results of computer simulation show the effectiveness of our proposed control method.