by Joseph Chun-kong Chan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 117-124). / Abstract also in Chinese. / Abstract --- p.i / Acknowledgments --- p.iv / List of Figures --- p.xi / List of Tables --- p.xii / List of Algorithms --- p.xiii / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Motivation --- p.1 / Chapter 1.2 --- Related Work --- p.5 / Chapter 1.3 --- Contributions --- p.7 / Chapter 1.4 --- Organization of the Thesis --- p.9 / Chapter 2 --- Contact Modeling: Kinematics --- p.11 / Chapter 2.1 --- Introduction --- p.11 / Chapter 2.2 --- Contact Kinematics between Two Rigid Bodies --- p.14 / Chapter 2.2.1 --- Contact Modes --- p.14 / Chapter 2.2.2 --- Montana's Contact Equations --- p.15 / Chapter 2.3 --- Finger Kinematics --- p.18 / Chapter 2.3.1 --- Finger Forward Kinematics --- p.19 / Chapter 2.3.2 --- Finger Jacobian --- p.21 / Chapter 2.4 --- Grasp Kinematics between a Finger and an Object --- p.21 / Chapter 2.4.1 --- Velocity Transformation between Different Coordinate Frames --- p.22 / Chapter 2.4.2 --- Grasp Kinematics for the zth Contact --- p.23 / Chapter 2.4.3 --- Different Fingertip Models and Different Contact Modes --- p.25 / Chapter 2.5 --- Velocity Constraints of the Entire System --- p.28 / Chapter 2.6 --- Summary --- p.29 / Chapter 3 --- Contact Modeling: Dynamics --- p.31 / Chapter 3.1 --- Introduction --- p.31 / Chapter 3.2 --- Multi-fingered Robot Hand Dynamics --- p.33 / Chapter 3.3 --- Object Dynamics --- p.35 / Chapter 3.4 --- Constrained System Dynamics --- p.37 / Chapter 3.5 --- Summary --- p.39 / Chapter 4 --- Collision Modeling --- p.40 / Chapter 4.1 --- Introduction --- p.40 / Chapter 4.2 --- Assumptions of Collision --- p.42 / Chapter 4.3 --- Collision Point Velocities --- p.43 / Chapter 4.3.1 --- Collision Point Velocity of the ith. Finger --- p.43 / Chapter 4.3.2 --- Collision Point Velocity of the Object --- p.46 / Chapter 4.3.3 --- Relative Collision Point Velocity --- p.47 / Chapter 4.4 --- Equations of Collision --- p.47 / Chapter 4.4.1 --- Sliding Mode Collision --- p.48 / Chapter 4.4.2 --- Sticking Mode Collision --- p.49 / Chapter 4.5 --- Summary --- p.51 / Chapter 5 --- Dynamic Simulation --- p.53 / Chapter 5.1 --- Introduction --- p.53 / Chapter 5.2 --- Architecture of the Dynamic Simulation System --- p.54 / Chapter 5.2.1 --- Input Devices --- p.54 / Chapter 5.2.2 --- Dynamic Simulator --- p.58 / Chapter 5.2.3 --- Virtual Environment --- p.60 / Chapter 5.3 --- Methodologies and Program Flow of the Dynamic Simulator --- p.60 / Chapter 5.3.1 --- Interference Detection --- p.61 / Chapter 5.3.2 --- Constraint-based Simulation --- p.63 / Chapter 5.3.3 --- Impulse-based Simulation --- p.66 / Chapter 5.4 --- Summary --- p.69 / Chapter 6 --- Simulation Results --- p.71 / Chapter 6.1 --- Introduction --- p.71 / Chapter 6.2 --- Change of Grasping Configurations --- p.71 / Chapter 6.3 --- Rolling Contact --- p.76 / Chapter 6.4 --- Sliding Contact --- p.76 / Chapter 6.5 --- Collisions --- p.85 / Chapter 6.6 --- Dextrous Manipulation Motions --- p.93 / Chapter 6.7 --- Summary --- p.94 / Chapter 7 --- Conclusions --- p.99 / Chapter 7.1 --- Summary of Contributions --- p.99 / Chapter 7.2 --- Future Work --- p.100 / Chapter 7.2.1 --- Improvement of Current System --- p.100 / Chapter 7.2.2 --- Applications --- p.101 / Chapter A --- Montana's Contact Equations for Finger-object Contact --- p.103 / Chapter A.1 --- Local Coordinates Charts --- p.103 / Chapter A.2 --- "Curvature, Torsion and Metric Tensors" --- p.104 / Chapter A.3 --- Montana's Contact Equations --- p.106 / Chapter B --- Finger Dynamics --- p.108 / Chapter B.1 --- Forward Kinematics of a Robot Finger --- p.108 / Chapter B.1.1 --- Link-coordinate Transformation --- p.109 / Chapter B.1.2 --- Forward Kinematics --- p.109 / Chapter B.2 --- Dynamic Equation of a Robot Finger --- p.110 / Chapter B.2.1 --- Kinetic and Potential Energy --- p.110 / Chapter B.2.2 --- Lagrange's Equation --- p.111 / Chapter C --- Simulation Configurations --- p.113 / Chapter C.1 --- Geometric models --- p.113 / Chapter C.2 --- Physical Parameters --- p.113 / Chapter C.3 --- Simulation Parameters --- p.116 / Bibliography --- p.124

Tang Wai Sum. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 68-70). / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Redundant Manipulators --- p.1 / Chapter 1.2 --- Inverse Kinematics of Robotic Manipulators --- p.2 / Chapter 1.3 --- Inverse Dynamics of Robotic Manipulators --- p.4 / Chapter 1.4 --- Redundancy Resolutions of Manipulators --- p.5 / Chapter 1.5 --- Motivation of Using Neural Networks for these Applications --- p.9 / Chapter 1.6 --- Previous Work for Redundant Manipulator Inverse Kinematics and Inverse Dynamics Computation by Neural Networks --- p.9 / Chapter 1.7 --- Advantages of the Proposed Recurrent Neural Networks --- p.11 / Chapter 1.8 --- Contribution of this work --- p.11 / Chapter 1.9 --- Organization of this thesis --- p.12 / Chapter 2 --- Problem Formulations --- p.14 / Chapter 2.1 --- Constrained Optimization Problems for Inverse Kinematics Com- putation of Redundant Manipulators --- p.14 / Chapter 2.1.1 --- Primal and Dual Quadratic Programs for Bounded Joint Velocity Minimization --- p.14 / Chapter 2.1.2 --- Primal and Dual Linear Programs for Infinity-norm Joint Velocity Minimization --- p.15 / Chapter 2.2 --- Constrained Optimization Problems for Inverse Dynamics Com- putation of Redundant Manipulators --- p.17 / Chapter 2.2.1 --- Quadratic Program for Unbounded Joint Torque Mini- mization --- p.17 / Chapter 2.2.2 --- Primal and Dual Quadratic Programs for Bounded Joint Torque Minimization --- p.18 / Chapter 2.2.3 --- Primal and Dual Linear Programs for Infinity-norm Joint Torque Minimization --- p.19 / Chapter 3 --- Proposed Recurrent Neural Networks --- p.20 / Chapter 3.1 --- The Lagrangian Network --- p.21 / Chapter 3.1.1 --- Optimality Conditions for Unbounded Joint Torque Min- imization --- p.21 / Chapter 3.1.2 --- Dynamical Equations and Architecture --- p.22 / Chapter 3.2 --- The Primal-Dual Network 1 --- p.24 / Chapter 3.2.1 --- Optimality Conditions for Bounded Joint Velocity Min- imization --- p.24 / Chapter 3.2.2 --- Dynamical Equations and Architecture for Bounded Joint Velocity Minimization --- p.26 / Chapter 3.2.3 --- Optimality Conditions for Bounded Joint Torque Mini- mization --- p.27 / Chapter 3.2.4 --- Dynamical Equations and Architecture for Bounded Joint Torque Minimization --- p.28 / Chapter 3.3 --- The Primal-Dual Network 2 --- p.29 / Chapter 3.3.1 --- Energy Function for Infinity-norm Joint Velocity Mini- mization Problem --- p.29 / Chapter 3.3.2 --- Dynamical Equations for Infinity-norm Joint Velocity Minimization --- p.30 / Chapter 3.3.3 --- Energy Functions for Infinity-norm Joint Torque Mini- mization Problem --- p.32 / Chapter 3.3.4 --- Dynamical Equations for Infinity-norm Joint Torque Min- imization --- p.32 / Chapter 3.4 --- Selection of the Positive Scaling Constant --- p.33 / Chapter 4 --- Stability Analysis of Neural Networks --- p.36 / Chapter 4.1 --- The Lagrangian Network --- p.36 / Chapter 4.2 --- The Primal-Dual Network 1 --- p.38 / Chapter 4.3 --- The Primal-Dual Network 2 --- p.41 / Chapter 5 --- Simulation Results and Network Complexity --- p.45 / Chapter 5.1 --- Simulation Results of Inverse Kinematics Computation in Re- dundant Manipulators --- p.45 / Chapter 5.1.1 --- Bounded Least Squares Joint Velocities Computation Using the Primal-Dual Network 1 --- p.46 / Chapter 5.1.2 --- Minimum Infinity-norm Joint Velocities Computation Us- ing the Primal-Dual Network 2 --- p.49 / Chapter 5.2 --- Simulation Results of Inverse Dynamics Computation in Redun- dant Manipulators --- p.51 / Chapter 5.2.1 --- Minimum Unbounded Joint Torques Computation Using the Lagrangian Network --- p.54 / Chapter 5.2.2 --- Minimum Bounded Joint Torques Computation Using the Primal-Dual Network 1 --- p.57 / Chapter 5.2.3 --- Minimum Infinity-norm Joint Torques Computation Us- ing the Primal-Dual Network 2 --- p.59 / Chapter 5.3 --- Network Complexity Analysis --- p.60 / Chapter 6 --- Concluding Remarks and Future Work --- p.64 / Publications Resulted from the Study --- p.66 / Bibliography --- p.68