A mathematical model for a long elastic torsional robot beam is determined. The above system can be expressed as an evolution equation on a Hilbert space. Furthermore the system is shown to be stable and controllable, and we design a controller for the system.
A model of kinesthetically and visually controlled arm movement
β Scribed by WILLIAM.T. POWERS
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 175 KB
- Volume
- 50
- Category
- Article
- ISSN
- 1071-5819
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper describes a preliminary simulation of kinesthetic control systems that operate a humanoid arm having three degrees of freedom. The design is in part a literal interpretation of the stretch and tendon re#exes considered as control systems. A second level of control converts independent control of three joint angles into a trio of systems controlling the tip of the arm in pitch, yaw and distance coordinates centered on the shoulder. The basic properties of muscles are included, and the arm movements are calculated using equations describing the physical dynamics of the arm. A &&visual servo'' level of control is included in preliminary form. The model exhibits realistic behavior, producing stable and fast control without computing either inverse kinematics or inverse dynamics.
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