• 대한수학회보
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• 제44권1호
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• pp.13-29
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• 2007

In this paper, we first present a method for finding the implicit equation of the curve given by rational parametric equations. The method is based on the computation of $Gr\"{o}bner$ bases. Then, another method for implicitization of curve and surface is given. In the case of rational curves, the method proceeds via giving the implicit polynomial f with indeterminate coefficients, substituting the rational expressions for the given curve and surface into the implicit polynomial to yield a rational expression $\frac{g}{h}$ in the parameters. Equating coefficients of g in terms of parameters to 0 to get a system of linear equations in the indeterminate coefficients of polynomial f, and finally solving the linear system, we get all the coefficients of f, and thus we obtain the corresponding implicit equation. In the case of polynomial surfaces, we can similarly as in the case of rational curves obtain its implicit equation. This method is based on characteristic set theory. Some examples will show that our methods are efficient.

• 대한기계학회논문집
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• 제16권11호
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• pp.2011-2020
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• 1992

본 연구에서는 실용성을 중시하는 산업계의 요구에 부응하여 해석이 용이하면 서도 강인성을 갖춘 제어 알고리즘을 제안하여 실시간 제어가 가능한 시스템을 구축해 실험적으로 검토하였다. 매니퓰레이터와 서보계의 다이내믹스를 나타내는 미분방정 식은 선형요소와 비선형요소의 합으로 생각할 수 있다. 여기서 매니퓰레이터의 비선 형요소를 외란으로 간주해 슬라이딩 모드를 적용하므로 매니퓰레이터의 자유도가 높아 도 비교적 간단히 슬라이딩 모드의 존재 조건식으로 부터 절환 파라미터가 구해져 슬 라이딩 모드를 발생시킬 수 있는 알고리즘을 도출할 수가 있음을 보였다. 비선형요 소를 외란으로 간주하였을때 로보트 매니퓰레이터가 슬라이딩 모드에 들어갈 수 있도 록 외란에 대응하는 절환 제어입력을 종래의 방식대로 부가하면 이 제어입력으로 인해 채터링(chattering)이 증가하게 됨이 확인되었으며, 이러한 채터링을 줄일 수 있도록 새로운 절환 제어입력의 알고리즘을 도출하여 검토하였다.

• Journal of Electrical Engineering and Technology
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• 제7권1호
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• pp.124-131
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• 2012

This paper deals with robust stability of linear time-invariant (LTI) systems with unstructured uncertainties. A new relation between uncertainties and system poles perturbed by the uncertainties is derived from a graphical analysis. A stability criterion for LTI systems with uncertainties is proposed based on this result. The migration range of the poles in the proposed criterion is represented as the bound of uncertainties, the condition number of a system matrix, and the disc containing the poles of a given nominal system. Unlike the existing methods depending on the solutions of algebraic matrix equations, the proposed criterion provides a simpler way which does not involves algebraic matrix equations, and a more flexible root clustering approach by means of adjusting the center and the radius of the disc as well as the condition number.

• 대한기계학회논문집
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• 제12권2호
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• pp.193-199
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• 1988

본 연구의 목적은 SCPA방법을 이용한 비선형 2자유도 비감쇠계의 해석을 통하여 응답곡선을 구하고, 그 응답곡선의 분기현상을 규명함에 있다. 결과의 비교를 위하여 4차의 Runge-Kutta방법을 이용한 수치실험을 수행하였다.

• 항공우주시스템공학회지
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• 제1권1호
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• pp.25-35
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• 2007

In this paper, the interlaminar crack problems of a fiber metal laminate (FML) under generalized plane deformation are studied using the theory of anisotropic elasticity. The crack is considered to be embedded in the matrix interlaminar region (including adhesive zone and resin rich zone) of the FML. Based on Fourier integral transformation and the stress matrix formulation, the current mixed boundary value problem is reduced to solving a system of Cauchy-type singular integral equations of the 1st kind. Within the theory of linear fracture mechanics, the stress intensity factors are defined on terms of the solutions of integral equations and numerical results are obtained for in-plane normal (mode I) crack surface loading. The effects of location and length of crack in the 3/2 and 2/1 ARALL, GLARE or CARE type FML's on the stress intensity factors are illustrated.

• Journal of Hydrospace Technology
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• 제2권2호
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• pp.24-35
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• 1996

This paper describes parameter identification techniques formulated for the estimation of maneuvering coefficients of a submerged body. The first part of this paper is concerned with the identifiability of the system parameters. The relationship between a stochastic linear time-invariant system and the equivalent dynamic system is investigated. The second is concerned with the development of the numerically stable identification technique. Two identification techniques are tested; one is the ma7mum likelihood (ML) methods using the Holder & Mead simplex search method and using the modified Newton-Raphson method, and the other is the modified extended Kalman filter (MEKF) method with a square-root algorithm, which can improve the numerical accuracy of the extended Kalman filter. As a results, it is said that the equations of motion for a submerged body have higher probability to generate simultaneous drift phenomenon compared to general state equations and only the ML method using the Holder & Mead simplex search method and the MEKF method with a square-root algorithm gives acceptable results.

• 대한전기학회논문지:시스템및제어부문D
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• 제49권3호
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• pp.111-116
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• 2000

In this paper, we presented a new algebraic iterative algorithm for the optimal control of the nonlinear systems. The algorithm is based on tow steps. The first step transforms optimal control problem into a sequence of linear optimal control problem using the quasilinearization method. In the second step, TPB(two point boundary condition problem) is solved by algebraic equations instead of differential equations using BPF(block pulse functions). The proposed algorithm is simple and efficient in computation for the optimal control of nonlinear systems. In computer simulation, the algorithm was verified through the optimal control design of Van del pole system and Volterra Predatory-prey system.

• 한국정보통신학회논문지
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• 제5권3호
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• pp.543-551
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• 2001

본 논문은 주차판 시스템의 토크 최적화에 대하여 다루었다. 주차판 시스템은 독립된 전원 을 가지고 있어야 하므로 주차판 시스템을 움직이는 데 소요되는 모터 구동력을 최소화하는 것이 문제이다. 따라서 이 문제를 해결하기 위해서는 주차판 시스템의 동적인 방정식을 유도하여야 하며, 비선형 미분방정식을 풀어야 하는 어려움이 있다. 본 논문에서는 동적인 방정식을 유도하였으며, 유전 알고리즘을 이용하여 방정식을 풀었으며, 컴퓨터 모의실험을 통하여 결과의 유용성을 보였다.

• 한국기계가공학회지
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• 제17권1호
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• pp.42-47
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• 2018

This paper describes the dynamical behavior of the bicycle and its nonlinear effect when magnetic repulsive forces are applied to the bicycle cushion system. A finite-element method was used to obtain its reliabilities by comparing the experimental and numerical values and select the proper magnet sizes. The Equivalent spring stiffness values were evaluated in terms of both linear and nonlinear approximations, where the nonlinear effect was specifically investigated for the ride comfort. The corresponding equations of linear and nonlinear motion were derived for the numerical model with three degrees of freedom. Dynamic behaviors were observed when the bicycle ran over a curvilinear road in the form of a sinusoidal curve. The analysis in this paper for the observed nonlinearity of magnetic repulsive forces will be a useful guide to more accurately predict the cushion design for any vehicle system.

• 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.