A Control Algorithm for Chaotic Physical Systems
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, c...
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| Language: | en_US |
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2004
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| Online Access: | http://hdl.handle.net/1721.1/5976 |
| _version_ | 1811093485534576640 |
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| author | Bradley, Elizabeth |
| author_facet | Bradley, Elizabeth |
| author_sort | Bradley, Elizabeth |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T15:45:37Z |
| id | mit-1721.1/5976 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:45:37Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/59762019-04-12T08:28:18Z A Control Algorithm for Chaotic Physical Systems Bradley, Elizabeth nonlinear dynamics Phan-locked loops chaos control 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. 2004-10-04T14:24:30Z 2004-10-04T14:24:30Z 1991-10-01 AIM-1323 http://hdl.handle.net/1721.1/5976 en_US AIM-1323 15 p. 1289369 bytes 1008469 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | nonlinear dynamics Phan-locked loops chaos control Bradley, Elizabeth A Control Algorithm for Chaotic Physical Systems |
| title | A Control Algorithm for Chaotic Physical Systems |
| title_full | A Control Algorithm for Chaotic Physical Systems |
| title_fullStr | A Control Algorithm for Chaotic Physical Systems |
| title_full_unstemmed | A Control Algorithm for Chaotic Physical Systems |
| title_short | A Control Algorithm for Chaotic Physical Systems |
| title_sort | control algorithm for chaotic physical systems |
| topic | nonlinear dynamics Phan-locked loops chaos control |
| url | http://hdl.handle.net/1721.1/5976 |
| work_keys_str_mv | AT bradleyelizabeth acontrolalgorithmforchaoticphysicalsystems AT bradleyelizabeth controlalgorithmforchaoticphysicalsystems |