A complete solution to the inverse kinematics problem for a large class of practical manipulators, which includes manipulators with no closed form inverse kinematics equations, is presented in this thesis. A complete solution to the inverse kinematics problem of a manipulator is defined as a method for obtaining the required joint variable values to establish the desired endpoint position, endpoint orientation, and manipulator configuration; the only requirement being that the desired solution exists. For all manipulator geometries that satisfy a set of conditions (THEOREM I), an algorithm is presented that is theoretically guaranteed to always converge to the desired solution (if it exists). The algorithm is extensively tested on two complex 6 degree of freedom manipulators which have no known closed form inverse kinematics equations. It is shown that the algorithm can be used in real time manipulator control. Applications of the method to other 6 DOF manipulator geometries and to redundant manipulators are discussed. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate

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Variable Geometry Trusses (VGT’s) can be used as the fundamental building blocks in constructing long-chain, high degree-of-freedom manipulators. This thesis focuses on the kinematics of two such manipulators. It also illustrates how the concept of shape control can be applied to simplify the computational aspects of controlling these devices. To serve as examples, algorithms are developed for the control of both a thirty degree of freedom planar manipulator and a sixty degree-of-freedom spatial manipulator. Based on a review of the literature, this work appears to be the first attempt to develop real-time, position control strategies for such highly-dexterous manipulators. / Master of Science / incomplete_metadata

published_or_final_version / Electrical and Electronic Engineering / Doctoral / Doctor of Philosophy

published_or_final_version / Electrical and Electronic Engineering / Doctoral / Doctor of Philosophy

by Kwok Lai Ho Victor. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 77-82). / Abstract also in Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Background --- p.5 / Chapter 2.1 --- History of Robotics --- p.5 / Chapter 2.2 --- Autonomous Robot Systems --- p.7 / Chapter 2.3 --- 3D Windowing Simulators --- p.8 / Chapter 2.4 --- Robot Simulation in VR --- p.8 / Chapter 3 --- Objective --- p.11 / Chapter 4 --- Articulated Structures --- p.13 / Chapter 4.1 --- Joints and links --- p.13 / Chapter 4.2 --- Degrees of Freedom --- p.16 / Chapter 4.3 --- Denavit-Hartenberg Notation --- p.17 / Chapter 5 --- Virtual Manipulators --- p.20 / Chapter 5.1 --- Arm(N-link) Structure --- p.20 / Chapter 5.2 --- Hand Model --- p.24 / Chapter 6 --- Motion Control Techniques --- p.27 / Chapter 6.1 --- Kinematics --- p.27 / Chapter 6.1.1 --- Forward Kinematics --- p.27 / Chapter 6.1.2 --- Inverse Kinematics --- p.29 / Chapter 6.1.3 --- Solving Kinematics Problem --- p.29 / Chapter 6.1.4 --- Redundancy --- p.31 / Chapter 6.1.5 --- Singularities --- p.32 / Chapter 6.2 --- Dynamics --- p.33 / Chapter 6.2.1 --- Forward Dynamics --- p.34 / Chapter 6.2.2 --- Inverse Dynamics --- p.35 / Chapter 6.3 --- Combination of Two Control Modes --- p.35 / Chapter 6.4 --- Constraints and Optimization --- p.36 / Chapter 7 --- Physical Feedback Systems --- p.38 / Chapter 7.1 --- Touch Feedback --- p.39 / Chapter 7.2 --- Force Feedback --- p.41 / Chapter 7.3 --- Force/Touch Feedback Systems --- p.42 / Chapter 8 --- Virtual Object Manipulation --- p.43 / Chapter 8.1 --- Previous Work --- p.44 / Chapter 8.2 --- Physics-based Virtual-hand Grasping --- p.45 / Chapter 8.3 --- Visual Correction --- p.43 / Chapter 8.3.1 --- Joint Correction --- p.50 / Chapter 8.3.2 --- Odd Finger Configurations --- p.51 / Chapter 8.4 --- Active Grasping --- p.52 / Chapter 8.5 --- Collision Detection of Complex Objects --- p.54 / Chapter 9 --- Experiments --- p.57 / Chapter 9.1 --- System Architecture --- p.57 / Chapter 9.1.1 --- Tracking System --- p.53 / Chapter 9.1.2 --- Glove System --- p.59 / Chapter 9.1.3 --- Host Computer --- p.60 / Chapter 9.2 --- Experimental Results --- p.60 / Chapter 9.2.1 --- General application --- p.61 / Chapter 9.2.2 --- Relationship between frictional coefficient and mass of the object --- p.61 / Chapter 10 --- Conclusions --- p.67 / Chapter 10.1 --- Summary --- p.67 / Chapter 10.2 --- Contributions --- p.69 / Chapter 10.3 --- Future Work --- p.69 / Chapter A --- Description files --- p.71 / Chapter A.1 --- Scene Description --- p.71 / Chapter A.2 --- Hand Description --- p.73 / Bibliography --- p.77

Thesis. 1975. M.S.--Massachusetts Institute of Technology. Dept. of Mechanical Engineering. / Includes bibliographical references. / M.S.

Thesis. 1975. Ph.D.--Massachusetts Institute of Technology. Dept. of Mechanical Engineering. / Bibliography: leaves 216-220. / Ph.D.