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A Control Algorithm for Chaotic Physical Systems

Author(s)
Bradley, Elizabeth
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Abstract
Control algorithms which exploit the unique properties of chaos can vastly improve the design and performance of many practical and useful systems. The program Perfect Moment is built around such an algorithm. Given two points in the system's state space, it autonomously maps the space, chooses a set of trajectory segments from the maps, uses them to construct a composite path between the points, then causes the system to follow that path. This program is illustrated with two practical examples: the driven single pendulum and its electronic analog, the phase-locked loop. Strange attractor bridges, which alter the reachability of different state space points, can be used to increase the capture range of the circuit.
Date issued
1991-10-01
URI
http://hdl.handle.net/1721.1/5976
Other identifiers
AIM-1323
Series/Report no.
AIM-1323
Keywords
nonlinear dynamics, Phan-locked loops, chaos, control

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