Control Algorithms for Chaotic Systems
Author(s)
Bradley, Elizabeth
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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.
Date issued
1991-03-01Other identifiers
AIM-1278
Series/Report no.
AIM-1278
Keywords
chaos, nonlinear dynamics, control, scientific computation