• Title/Summary/Keyword: Pseudoinverse Matrix

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Compliance Paradigms for Kinematically Tedundant Manipulators

  • Park, Jonghoon;Chung, W.K.;Youm, Y.
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.914-919
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    • 1993
  • The kinematic resolutions of redundancy is addressed in this paper. The governing equation for quasistatic behavior of compliance governed redundant manipulators is formulated and the repeatable property of the manipulator is proposed. Then the compliance paradigm is used to resolve the redundancy in a repeatable way. The compliance paradigm is one under which the controller simulates the imaginary manipulator which is governed to move by real joint stiffness. The equation is expressed as the weighted pseudoinverse with the configuration dependent weighting matrix. Algorithmic singularities arisen from this scheme are also discussed.

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A method to reduce the order of high-order LTI system via Walsh function. (월쉬 함수에 의한 선형 시불변 고차 시스템의 모델 축소 방법)

  • Ahn, Doo-Soo;Park, Jun-Hoon;Kim, Min-Hyung;Lim, Yun-Sic
    • Proceedings of the KIEE Conference
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    • 1992.07a
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    • pp.302-304
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    • 1992
  • This paper presents the method to reduce the order of high-order linear time invarient system via Walsh function. It is based on the matrix pseudoinverse algorithm to determine the parameters of the reduced model which minimize the sum of the squares of the errors between the reponses of the high-order system and a reduced model to a given input. This proposed method can be conveniently implemented with a computer. They will be very useful in the study of control system via Walsh function.

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Configuration Control of Vaiable-Geometry Truss Structures (가변형상 트러스구조물의 자세제어)

  • Roh, Tae-Hwan;Kim, Tae-Ik;Park, Hyun-Chul;Kwon, Young-Doo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.9
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    • pp.2854-2865
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    • 1996
  • The concept of variable-geometry truss structure(VGTS) is introduced as a class of actively controlled adaptive structure. VGTS can purposefully vary its geometric configurations by changing the lengths of some members of the structure. General kinematics and inverse kinematics of a statically determinate VGTS(variable geometry truss structure) are studied. The solution technique is based on the Jacobian matrix obtained via joint equilibrium equations. Pseudoinverse control method is applied to resolve the redundancy of a large VGTS. two types of actuator layout of octahedral type VGTS, VG truss and Stewart platform, are compared. Introducing the concept of performance index, Stewart platform based layout was found to has less consumption energy and manipulation time. A functional VGTS model with 3 octahedral modules is designed and manufactured for the labaratory demonstration. Six vertically located length-variable members are used to create general 6 d.o.f. motions.