This paper presents techniques that actively exploit chaotic behavior to accomplish otherwise-impossible control tasks. The state space is mapped by numerical integration at different system parameter values and trajectory segments from several of these maps are automatically combined into a path between the desired system states. A fine-grained search and high computational accuracy are required to locate appropriate trajectory segments, piece them together and cause the system to follow this composite path. The sensitivity of a chaotic system's state-space topology to the parameters of its equations and of its trajectories to the initial conditions make this approach rewarding in spite of its computational demands.
| Identifer | oai:union.ndltd.org:MIT/oai:dspace.mit.edu:1721.1/5985 |
| Date | 01 March 1991 |
| Creators | Bradley, Elizabeth |
| Source Sets | M.I.T. Theses and Dissertation |
| Language | en_US |
| Detected Language | English |
| Format | 21 p., 3522928 bytes, 1357363 bytes, application/postscript, application/pdf |
| Relation | AIM-1278 |
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