• Title/Summary/Keyword: jacobian matrix

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Position Control of a Precise 6-D.O.F Stage with Magnetic Levitation (자기부상을 이용한 초정밀 6자유도 스테이지의 위치제어)

  • 이세한;강재관;김용주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.894-897
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    • 2004
  • In this paper, we address a position control scheme for a stage system, which is levitated and driven by electric magnetic actuators. This consists of a levitating object (called platen) with 4 permanent magnetic linear synchronous motors in parallel. Each motor generates vertical force for suspension against gravity and propulsion force horizontally as well. This stage can generate six degrees of freedom motion by the vertical and horizontal forces. Dynamic equations of the stage system are derived based on Newton-Euler method and its special Jacobian matrix describing a relation between the Joint velocity and platen velocity is done. There are proposed two control schemes for positioning, which are Cartesian space controller and Joint space controller. The control performance of the Cartesian space controller is better than the Joint space controller in task space trajectory while the Joint space controller is simpler than the Cartesian space controller in controller realization.

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A study on Fast Decoupled Load Flow Algorithm using the decoupling technique via linear transformation (선형변환 분할기법을 이용한 고속분할 조류 계산 앨고리즘에 관한 연구)

  • Song, Kil-Yeong;Choi, Sang-Geu;Hwang, Moon-Baeg
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.115-117
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    • 1988
  • The algorithm presented here achieves mathematically better decoupling of the MW-$\theta$ and MVARE Calculations by applying linear transformations to load flow equation on paired initial power. The linear transformations to decouple Jacobian matrix prove to be highly profitable considering both Convergence characteristics and computation time per iteration to those required by the FDLF, because the decoupling does not rely on the assumption that the transmission lines have high X/R ratios.

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Cartesian Coordinate Control of Robot Motion (로보트 운동에 대한 공간 좌표 제어)

  • 노영식;우광방
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.5
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    • pp.177-184
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    • 1986
  • An effective cartesian coordinate model is presented to control a robot motion along a prescribed timebased hand trajectory in cartesian coordinates and to provide an adaptive feedback design approach utilizing self-tuning control methods without requiring a detailed mathematical description of the system dynamics. Assuming that each of the hybrid variable set of velocities and forces at the cartesian coordinate level is mutually independent, the dynamic model for the cartesian coordinate control is reduced to first-order SISO models for each degree of freedom of robot hand, including a term to represent all unmodeled effects, by which the number of parameters to be identified is minimized. The self-tuners are designde to minimize a chosen performance criterion, and the computed control forces are resolved into applied joint torques by the Jacobian matrix. The robustness of the model and controller is demonstrated by comparing with the other catesian coordinate controllers.

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New Power Flow Calculation Using Improved Genetic Algorithm (개선된 유전 알고리즘을 이용한 새로운 전력조류계산)

  • Chae, Myung-Suck;Lee, Tae-Hyung;Shin, Joong-Rin;Im, Han-Seok
    • Proceedings of the KIEE Conference
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    • 1999.11a
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    • pp.43-51
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    • 1999
  • The power flow calculations(PFc) are the most important and powerful tools in power systems engineering. The conventional power flow problem is solved generally with numerical methods such as Newton-Raphson(NR). The conventional numerical method generally have some convergency problem, which is sensitive to initial value, and numerical stability problem concerned with jacobian matrix inversion. This paper presents a new PFc algorithm based on the improved genetic algorithm (IGA) which can overcome the disadvantages mentioned above. The parameters of GA, with dynamical hierarchy of the coding system, are improved to make GA a practical algorithm in the problem of real system. Some case studies with test bus system also present to show the performance of proposed algorithm. The results of proposed algorithm are compared with the results of PFc obtained using a conventional NR method.

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Static Voltage Stability Analysis using Reactive Power Loss Sensitivity (무효전력 손실감도를 이용한 정적 전압 안정도 해석)

  • Kim, Weon-Kyum;Lee, Bok-Yong;Lee, Sang-Cheol
    • Proceedings of the KIEE Conference
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    • 1999.11a
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    • pp.52-55
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    • 1999
  • In recent years, much attention has been paid to the voltage collapse phenomena. There has been reported many cases about the voltage collapse in many countries. These voltage collapse phenomena are known as the event that can occur due to reactive power deficits. This paper proposes an efficient method that can pursue the reactive power loss changes and gives the simple voltage collapse proximity indicator(VCPI) based on the reactive power loss sensitivities using optimal techniques. By comparing reactive power loss sensitivity with active power loss sensitivity, it is also proved that VCPI based on reactive power loss sensitivities is more effective. The developed VCPI is derived from the Jacobian matrix of Load Flow and the computational burden is very low and on-line implementation is possible. The proposed method is applied to a IEEE-14 bus test system and reliable and promising results are obtained.

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A Study for a load flow analysis algorithm in the three-phase distribution network (3상 배전계통에서의 부하조류해석 알고리즘에 관한 연구)

  • Ryu, Jae-Hong;Kim, Jae-Eon
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.150-152
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    • 2000
  • This paper introduces an advanced three-phase load flow analysis algorithm in the radial distribution network. This method is an extension of the Novel method for solving radial distribution networks with the emphasis on expanding from single phase to three-phase. The proposed method involves only simple algebraic computation without any form of Jacobian matrix but has a desirable convergence characteristic. Computationally, The suggested technique is very efficient and requires less computer memory storage and maintains high execution speed. Also, the submitted process can be easily programmed and be simply extended to different types of load characteristics. A simulation results applied to the IEEE 34 bus radial distribution feeder are examined by using the MATLAB.

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Contingency Selection Using Eigen-Sensitivity Analysis for Voltage Stability. (고유치감도 해석에 의한 전압안정도의 상정사고 선택)

  • Song, S.G.;Nam, H.K.;Shim, K.S.;Moon, Y.H.;Choi, H.K.;NamKung, J.Y.
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.66-68
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    • 2000
  • The Eigen analysis in large power system provides much useful information that is not got in nose curve. The branch participation factor is not quantitative information and is an indirect method calculating incremental change in branch reactive loss. But the Eigen sensitivity analysis to each mode is direct and provides of quantitative information but this method because of needing much time is used in large power system. In this paper the Hessenberg method is used to obtaining dominant eignvalues and corresponding eigenvectors of Jacobian matrix. Ranking the critical contingencies is done by computing the Eigen sensitivity of each dominant eignvalues for changes of each line. The proposed algorithm is tested on the New England 30-bus system and KEPCO system in the year of 2000, which comprises of 791-bus and 2500-branches.

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Disturbance-Observer-Based Robust H Switching Tracking Control for Near Space Interceptor

  • Guo, Chao;Liang, Xiao-Geng
    • International Journal of Aeronautical and Space Sciences
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    • v.15 no.2
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    • pp.153-162
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    • 2014
  • A novel robust $H_{\infty}$ switching tracking control design method with disturbance observer is proposed for the near space interceptor (NSI) with aerodynamic fins and reaction jets. Initially, the flight envelop of the NSI is divided into small subregions, and a slow-fast loop polytopic linear parameter varying (LPV) model is proposed, to approximate the nonlinear dynamic of the NSI, based on the Jacobian linearization and Tensor-Product (T-P) model transformation approach. A disturbance observer is then constructed, to estimate the modeled disturbance. Subsequently, based on the descriptor system method, a robust switching controller is developed, to ensure that the closed-loop descriptor system is stable with a desired $H_{\infty}$ disturbance attenuation level. Furthermore, the outcome of the proposed switching tracking control problem is formulated as a set of linear matrix inequalities (LMIs). Finally, simulation results demonstrate the effectiveness of the proposed design method.

Locally optimal trajectory planning for redundant robot manipulators-approach by manipulability (여유 자유도 로봇의 국부 최적 경로 계획)

  • Lee, Ji-Hong;Lee, Han-Gyu;Yoo, Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1136-1139
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    • 1996
  • For on-line trajectory planning such as teleoperation it is desirable to keep good manipulability of the robot manipulators since the motion command is not given in advance. To keep good manipulability means the capability of moving any arbitrary directions of task space. An optimization process with different manipulability measures are performed and compared for a redundant robot system moving in 2-dimensional task space, and gives results that the conventional manipulability ellipsoid based on the Jacobian matrix is not good choice as far as the optimal direction of motion is concerned.

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robust independant controller for position, motion-inducing force, internal force of multi-robot system) (다중 로보트 시스템의 위치, 운동야기힘, 내부힘의 강건 독립 제어기)

  • 김종수;박세승;박종국
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.539-542
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    • 1996
  • The forces exerted on an object by the end-effectors of multi-manipulators are decomposed into the motion-inducing force and the internal force. Motion-inducing force effects the motion of an object and internal force can't effect it. The motion of an object can't track exactly the desired motion because of internal force component, therefore internal force component must be considered. In this paper using the resolved acceleration control method and the fact that internal force lies in the null space of jacobian matrix, we construct independently the position, motion-inducing force and internal force controller. Secondly we construct the robust controller to preserve the robustness with respect to the uncertainty of manipulator parameters.

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