• Title/Summary/Keyword: jacobian matrix

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DIRECT COMPUTATION OF MARGINAL OPERATING CONDITIONS FOR VOLTAGE COLLAPSE

  • Lee, Kyung-Jae;Jung, Tay-Ho
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.195-201
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    • 1989
  • Voltage collapse is a serious concern to the electirc utility industry. It is common to associate steady-state stability with the ability of the transmission system to transport real power and to associate voltage collapse with the inability to provide reactive power at the necessary locations within the system. An algorithm to directly calculate the critical point of system voltage collapse was presented by the authors. The method (based on the ordinary power flow equations and explicit requirement of singularity of the Jacobian matrix) is basically one degree of freedom with proper load distribution factors. This paper suggests a modified algorithm to increase the degree of freedom, introducing the nonlinear programming technique. The objective function is a distance measure between the present operating point and the closest voltage collapse point. Knowledge of the distance and the most vulnarable bus from the voltage collapse point of view may be used as a useful index for the secure system operation.

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Redundant Robot Control by Neural Optimization Networks (신경망 최적화 회로에 의한 여유자유도를 갖는 로보트의 제어)

  • 현웅근;서일홍
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.6
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    • pp.638-648
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    • 1990
  • An effective resolved motion control method of redundant manipulators is proposed to minimize the energy consumption and to increase the dexterity while satisfying the physical actuator constraints. The method employs the neural optimization networks, where the computation of Jacobian matrix is not required. Specifically, end effector movement resulting from each joint differential motion is first separated into orthogonal and tangential components with respect to a given desired trajectory. Then the resolved motion is obtained by neural optimization networks in such a way that 1) linear combination of the orthogonal components should be null 2) linear combination of the tangential components should be the differential length of the desired trajectory, 3) differential joint motion limit is not violated, and 4) weighted sum of the square of each differential joint motion is minimized. Here the weighting factors are controlled by a newly defined joint dexterity measure as the ratio of the tangential and orthogonal components.

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Design of an Omni-directional mobile Robot with 3 Caster Wheels

  • Kim, Wheekuk;Kim, Do-Hyung;Yi, Byung-Ju;Yang, Sung-Il;You, Bum-Jae
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.4
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    • pp.210-216
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    • 2001
  • In this paper, design of a 3-degree-of-freedom mobile robot with three caster wheels is performed. Initially, kinematic modeling and singularity analysis of the mobile robot is performed. It is found that the singularity can be avoided when the robot has more than two wheels on which two active joints are located. Optimal kinematic parameters of mobile robots with three active joint variables and with four active joint variables are obtained and compared with respect to kinematic isotropic index of the Jacobian matrix of the mobile robot which is functions of the wheel radius and the length of steering link.

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Implementation of a control system for a telerobot using DSP (DSP를 이용한 원격 로봇의 제어 시스템 구현)

  • 노철래;정명진
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.844-849
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    • 1991
  • A high speed control system for a telerobot using DSP is developed. The system is designed to resolve computational burden in advanced algorithms. The design is assumed to h ave no specific algorithm and robot configuration. The system is composed of a teaching box, a DSP board, a set of servo drivers and 16 bit microcomputer system. The teaching box is designed as a man-machine interface, which has two joysticks with three degrees of freedom for velocity generation in Cartesian space. The DSP board, i.e. DSP56000ADS based on a 10.25MIPS digital signal processor, DSP56001, computes the inverse Jacobian matrix which transforms Cartesian velocity into joint velocity. A resolved motion rate control algorithm for a 5 degrees of freedom manipulator was implemented. About 100 Hz sampling rate was achieved in this system.

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A New Hybrid Strategy for the Optimization of Xhemical Processing System

  • Cho, In-Ho;Yoon, En-Sup
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.848-855
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    • 1989
  • By structural comparison of process optimization strategies based on Simultaneous Modular Approach, they can be classified into two groups : the Sequential Module Based Approach and the Two-Tier Approach. The Sequential Module Based Approach needs rigorous models and a set of accurate solutions are guranteed. However, it requires large amount of computation time. In the Two-Tier Approach composed of rigorous and simplified models, optimization calculation uses simplified models, therefore comparatively smaller amount of computation time is required but the obtained solutions may not be accurate. These optimization problems were somewhat improved by the alternate application of the two strategies. In this study, improved optimization strategy is suggested, in which Jacobian Matrix is modified to accomodate the strong points of above mentioned strategies. The results of case study show that this approach is superior to the other strategies.

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Development of A Omni-directional Flying Robot (전방향 소형비행로봇의 개발)

  • 이호길;원대희;박윤수;양광웅
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.302-305
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    • 2003
  • In this paper, dynamic behaviors of a small-sized flying robot with 4 rotors propelled by DC motor are discussed, and a control scheme based on the dynamic model to make stable flying motions, i.e., hovering, take-off, cruising behavior, etc. is proposed. The experimental results via some flying tests show good performances for practical use. The flying robot with 6DOF is controlled only 4 DOF, and the rest of two DOF are remained under the dynamic constraints. How to give the stability of all positions and orientations and to make the omni-directional motions in spite of such restrictions is analyzed. The proposed control scheme composes of two stages. First, PD control inputs for the trust-force and orientation are calculated, next the control inputs are distributed to each rotor by using a sort of Jacobian matrix. To design and control of a low cost - small sized flying robot, vibrated gyro sensor, cheap accelerometer, IR, and ultra sonic sensors are selected.

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THE RECURSIVE ALGOFITHM FOR OPTIMAL REGULATOR OF NONSTANCARD SINGULARLY PERTURVED SYSTEMS

  • Mukaidani, Hiroaki;Xu, Hau;Mizukami, Koichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.10-13
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    • 1995
  • This paper considers the linear-quadratic optimal regulator problem for nonstandard singularly perturbed systems making use of the recursive technique. We first derive a generalized Riccati differential equation by the Hamilton-Jacobi equation. In order to obtain the feedback gain, we must solve the generalized algebraic Riccati equation. Using the recursive technique, we show that the solution of the generalized algebraic Riccati equation converges with the rate of convergence of O(.epsilon.). The existence of a bounded solution of error term can be proved by the implicit function theorem. It is enough to show that the corresponding Jacobian matrix is nonsingular at .epsilon. = 0. As a result, the solution of optimal regulator problem for nonstandard singularly perturbed systems can be obtained with an accuracy of O(.epsilon.$^{k}$ ). The proposed technique represents a significant improvement since the existing method for the standard singularly perturbed systems can not be applied to the nonstandard singularly perturbed systems.

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A Workspace Analysis Method of Multi-Legged Walking Robot in the Velocity Domain (다족 보행로봇의 속도작업공간 해석)

  • 이지홍;전봉환
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.6
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    • pp.477-483
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    • 2002
  • This paper deals with a workspace analysis of multi-legged walking robots in velocity domain(velocity workspace analysis). Noting that when robots are holding the same object in multiple cooperating robotic arm system the kinematic structure of the system is basically the same with that of a multi-legged walking robot standing on the ground, we invented a way ot applying the technique for multiple arm system to multi-legged walking robot. An important definition of reaction velocity is made and the bounds of velocities achievable by the moving body with multi-legs is derived from the given bounds on the capabilities of actuators of each legs through Jacobian matrix for given robot configuration. After some assumption of hard-foot-condition is adopted as a contact model between feet of robot and the ground, visualization process for the velocity workspace is proposed. Also, a series of application examples will be presented including continuous walking gaits as well as several different stationary posture of legged walking robots, which validate the usefulness of the proposed technique.

Development of Omni-Directional Mobile Robot System with Rocker-Bogie Link Structure (로커-보기 링크 구조를 갖는 전방향 이동로봇 시스템개발)

  • Gang Taig-Gi;Yi Soo-Yeong
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.7
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    • pp.679-685
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    • 2006
  • In this paper, development of an omni-directional mobile robot with rocker-bogie link structure is addressed. The overall mobile robot system consists of the robot mechanism with embedded control architecture, wireless communication with host graphic monitoring system, and the joy stick tole-controller. In the cluttered environment with various sizes of obstacles, the omni-directionality and the traversality are required for a mobile robot, so that the robot call go around or climb over the obstacles according to the size. The mobile robot mechanism developed in this paper has both of the omni-directionality and the traversality by 4 steerable driving wheels and the 2 additional passive omni-directional wheels linked with the rocker-bogie structure. The kinematic modeling for the mobile robot is described based on the well-known Sheth-Uicker convention and the instantaneous coordinate system.

KAIST ARM의 고속동작제어를 위한 하드웨어 좌표변환기의 개발

  • 박서욱;오준호
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1992.04a
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    • pp.127-132
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    • 1992
  • To relize the future intelligent robot the development of a special-purpose processor for a coordinate transformation is evidently challenging task. In this case the complexity of a hardware architecture strongly depends on the adopted algorithm. In this paper we have used an inverse kinemetics algorithm based on incremental unit computation method. This method considers the 3-axis articulated robot as the combination of two types of a 2-axis robot: polar robot and 2-axis planar articulated one. For each robot incremental units in the joint and Cartesian spaces are defined. With this approach the calculation of the inverse Jacobian matrix can be realized through a simple combinational logic gate. Futhermore, the incremental computation of the DDA integrator can be used to solve the direct kinematics. We have also designed a hardware architecture to implement the proposed algorithm. The architecture consists of serveral simple unitsl. The operative unit comprises several basic operators and simple data path with a small bit-length. The hardware architecture is realized byusing the EPLD. For the straight-line motion of the KAIST arm we have obtained maximum end effector's speed of 12.6 m/sec by adopting system clock of 8 MHz.