19 October 1987 Near Optimal Control Of Flexible Robots
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Proceedings Volume 0856, IECON '87: Industrial Applications of Robotics & Machine Vision; (1987); doi: 10.1117/12.943018
Event: IECON, Cambridge, 1987, Cambridge, MA, United States
Abstract
This paper deals with an exact state-space dynamic model for a manipulator with a single flexible link. The Bernoulli-Euler beam equations are used to derive the matrix transfer function. This transfer function can be used to describe the link or beam displacement at any position along the beam. A 6th order state model is derived and the opttmal linear regulator controller is determined. It is shown that using a "raised cosine" reference command signal yields a smooth yet quick response. Finally unmodeled modes are added to the plant making it 8th order. The controller and observer are based on the 6th order model. In the performance degrades significantly; however the addition of a very simple law pass filter operating on the control signal restores the behavior to excellent quality.
© (1987) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Gerald Cook, Subhra Pal, Harry E. Stephanou, "Near Optimal Control Of Flexible Robots", Proc. SPIE 0856, IECON '87: Industrial Applications of Robotics & Machine Vision, (19 October 1987); doi: 10.1117/12.943018; https://doi.org/10.1117/12.943018
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KEYWORDS
Robots

Systems modeling

Mathematical modeling

Control systems

Linear filtering

Partial differential equations

Device simulation

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