• 제목/요약/키워드: state variables equation

검색결과 197건 처리시간 0.025초

컨베이어 추적을 위한 로보트 매니퓰레이터의 동적계획 (Motion Planning of a Robot Manipulator for Conveyor Tracking)

  • 박태형;이범희;고명삼
    • 대한전기학회논문지
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    • 제38권12호
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    • pp.995-1006
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    • 1989
  • 로보트 매니퓰레이터가 컨베이어 상의 파트를 추적 하면서 작업을 수행하는 것은 작업 효율의 증가에 크게 기여한다. 본 논문은 컨베이어 상의 파트를 추적하기 위한 로보트 매니퓰레이터의 동작계획 알고리즘을 제안한다. 로보트 매니퓰레이터의 추적 동작은 밸트의 속도, 추적 시작 시간에서의 파트와 로보트 핸드의 위체이 의하여 결정된다. 이때 토크 및 관절 속도, 관절 가속도, 관절 저크의 제한범위가 모두 고려되며, 최소의 정착시간을 갖는 추적 궤적이 생성된다. 추적 해는 linearr quadratic tracking문제로 접근하여 구한다. 로보트매니퓰레이터의 동적 방정식은 파라메터의 함수 성능 지수를 최소화 하는 동적 방정식의 해는 동적 계획법에 의하여 구한다. ${\mu}-VAX_@$에 의한 시뮬레이션 결과를 제시한다.

State-Space Analysis on The Stability of Limit Cycle Predicted by Harmonic Balance

  • Lee, Byung-Jin;Yun, Suk-Chang;Kim, Chang-Joo;Park, Jung-Keun;Sung, Sang-Kyung
    • Journal of Electrical Engineering and Technology
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    • 제6권5호
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    • pp.697-705
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    • 2011
  • In this paper, a closed-loop system constructed with a linear plant and nonlinearity in the feedback connection is considered to argue against its planar orbital stability. Through a state space approach, a main result that presents a sufficient stability criterion of the limit cycle predicted by solving the harmonic balance equation is given. Preliminarily, the harmonic balance of the nonlinear feedback loop is assumed to have a solution that determines the characteristics of the limit cycle. Using a state-space approach, the nonlinear loop equation is reformulated into a linear perturbed model through the introduction of a residual operator. By considering a series of transformations, such as a modified eigenstructure decomposition, periodic averaging, change of variables, and coordinate transformation, the stability of the limit cycle can be simply tested via a scalar function and matrix. Finally, the stability criterion is addressed by constructing a composite Lyapunov function of the transformed system.

Transient Response of The Optimal Taper-Flat Head Slider in Magnetic Storage Devices

  • Arayavongkul, R.;Mongkolwongrojn, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.990-994
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    • 2004
  • This paper presents a method to predict the transient characteristic of the air lubricated slider head in a hard disk drive by using optimization technique. The time dependent modified Reynolds equation based on the molecular slip flow approximation equations was used to describe the fluid flow within the air bearing and the implicit finite difference scheme is applied to calculate the pressure distribution under the slider head. The exhaustive search combined with the Broyden-Fletcher-Goldfarb-Shanno method were employed to obtain optimum design variables which are taper angle, rail width and taper length in order to keep the forces and moments acting on the slider head in dynamic equilibrium. The results show that the optimal head slider of the magnetic head has good stability characteristic that can reach the steady state within 0.5 microsecond.

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이산 시변 구간 시스템의 비구조화된 불확실성과 시변 지연시간 상태변수 불확실성의 안정범위 (Stability Bounds of Unstructured and Time-Varying Delayed State Uncertainties for Discrete Interval Time-Varying System)

  • 한형석
    • 한국항행학회논문지
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    • 제27권6호
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    • pp.871-876
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    • 2023
  • 본 논문에서는 시변 지연 시간이 있는 선형 이산 시변 구간 시스템에 두 가지의 불확실성이 동시에 존재하는 경우에 대하여 안정조건을 다룬다. 구간 시스템은 시스템 행렬들이 구간행렬의 형태로 주어지는 시스템으로 본 논문에서는 이러한 구간 시스템 행렬과 상태변수의 지연 시간이 시변인 특성을 갖는 시스템을 대상으로 한다. 비선형성을 포함하며 그 크기만을 알 수 있는 비구조화된 불확실성과 지연상태변수의 시스템 행렬 불확실성이 동시에 존재하는 경우의 시스템 안정조건을 제안한다. 두가지 종류의 불확실성에 대하여 안정 유지 가능한 크기를 해석적인 수식으로 유도한다. 제안된 안정조건과 안정 보장 크기는 기존의 다양한 선형 이산 시스템에 대한 안정 조건들을 포함할 수 있으며, 시변 지연시간 변동 크기, 불확실성의 크기들과 구간행렬의 범위 등의 값을 모두 조건식에 포함하게 된다. 새로운 안정범위는 수치예제를 통하여 이전의 결과와 비교하며 효용성과 우수성을 검증한다.

Employee Engagement and Motivation as Mediators between the Linkage of Reward with Employee Performance

  • SISWANTO, Siswanto;MAULIDIYAH, Zahrotul;MASYHURI, Masyhuri
    • The Journal of Asian Finance, Economics and Business
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    • 제8권2호
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    • pp.625-633
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    • 2021
  • This study analyzes the impact of the reward variable on employees' performance through work motivation and employee engagement. This study's specific purpose is to investigate employee engagement's mediating role in the relationship between reward and employee performance. The sample of research is the employee at Sukorejo, Pasuruan Indonesia. The sample is permanent employees at manufacture corporate. The sample size is 150 employees of the total 759 workers through the calculation of the Slovin formula. Respondents in this study were employees with the criteria for having worked for at least last five years. The data obtained is in the form of answers from employees to the statements submitted. The data analysis was used structural equation modeling partial least square. To test the relationship between variables, it was equipped with a Sobel mediation test of statistics. SmartPLS 3.0 is used to help analyze the relationship between variables. The result shows that the reward does not have a direct influence on the performance of employees. However, it has a significant positive effect on the performance of employees through employee engagement. While working motivation variable does not have the role as a mediation variable related to the effect of reward on employee performance.

ORTHOGONAL POLYNOMIALS SATISFYING PARTIAL DIFFERENTIAL EQUATIONS BELONGING TO THE BASIC CLASS

  • Lee, J.K.;L.L. Littlejohn;Yoo, B.H.
    • 대한수학회지
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    • 제41권6호
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    • pp.1049-1070
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    • 2004
  • We classify all partial differential equations with polynomial coefficients in $\chi$ and y of the form A($\chi$) $u_{{\chi}{\chi}}$ + 2B($\chi$, y) $u_{{\chi}y}$ + C(y) $u_{yy}$ + D($\chi$) $u_{{\chi}}$ + E(y) $u_{y}$ = λu, which has weak orthogonal polynomials as solutions and show that partial derivatives of all orders are orthogonal. Also, we construct orthogonal polynomials in d-variables satisfying second order partial differential equations in d-variables.s.

선로조류방정식 특성을 이용한 전압안정도 평가에 관한 연구 (A Study on Evaluating of Voltage Stability Using the Line Flow Equation.)

  • 송길영;김세영;김용하
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 B
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    • pp.797-799
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    • 1996
  • This paper presents a simple method for evaluating of voltage stability using the line flow equation. Line flow equations($P_{ij}$, $Q_{ij}$) are comprised of state variable, $V_i$, ${\delta}_i$, $V_j$ and ${\delta}_j$, and line parameter, r and x. Using the feature of polar coordinate, these equations become one equation with two variables, $V_i$ and $V_j$. Moreover, if bus j is slack bus or generator bus, which is specified voltage magnitude, it becomes One equation with one variable $V_i$, that is, may be formulated with the second-order equation for $V_i^2$. Therefore, solutions are obtained with simple computation. Solutions obtained are used for evaluating of voltage stability through sensitivity analysis. Also, considering of reactive power source, method for evaluating the voltage stability is introduced. The proposed method was validated to 2-bus and IEEE 6-bus system.

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정자계 문제의 형상 최적 설계를 위한 설계 민감도 해석 (Design Sensitivity Analysis for the Optimal Shape Design of Magnetostatic Problems)

  • 고창섭;한송엽;정현교
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1992년도 하계학술대회 논문집 B
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    • pp.567-569
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    • 1992
  • Design sensitivity analysis is proposed for the optimal shape design of three dimensional magnetostatic problems. The direct differentiation method is introduced for design sensitivity analysis and the boundary element method with reduced magnetic scalar potential as the state variable is used to analyze the magnetic characteristics. In the direct differentiation method, the design sensitivity, defined as the total derivative of the objective function with respect to the design variables, is calculated based on the variation of the state variable with respect to the design variable. And the variation of He state variable is calculated by differentiating the both sides of the system matrix equation obtained by applying boundary element method. Through the numerical example with simple electromagnet, the usefullness is proved.

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3차원 정자계 문제의 형상 최적설계를 위한 설계 민감도 해석 (Design Sensitivity Analysis for the Optimal Shape Design of Three-Dimensional Magnetostatic Problems)

  • 고창섭;정현교;한송엽
    • 대한전기학회논문지
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    • 제41권8호
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    • pp.850-857
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    • 1992
  • Design sensitivity analysis is proposed for the optimal shape design of three-dimensional magnetostatic problems. The direct differentiation method is introduced for design sensitivity analysis and the boundary element method with reduced magnetic scalar potential as the state variable is used to analyze the magnetic characteristics. In the direct differentiation method, the design sensitivity, defined as the total derivative of the objective function with respect to the design variables, is calculated based on the variation of the state variable with respect to the design variable. And the variation of the state variable is calculated by differetiating the both sides of the system matrix equation obtained by applying boundary element method. Through the numerical example with simple electromagnet, the usefulness is proved.

An Axially Marching Scheme for Internal Waves

  • In-Joon,Suh
    • 대한조선학회지
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    • 제25권2호
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    • pp.1-10
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    • 1988
  • An axially marching numerical method is developed for the simulation of the internal waves produced by translation of a submersed vehicle in a density-stratified ocean. The method provides for the direct solution of the primitive variables [$\upsilon,\;p,\;\rho$] for the nonlinear and steady state three-dimensional Euler's equation with a non-constant density term in the vehicle-fixed cartesian co-ordinate system. By utilizing a known potential flow around the vehicle for an estimate of the axial velocity gradient, the present parabolic algorithm local upstreamwise disturbances and axial velocity variation.

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