Accession Number : ADA260067
Title : Control Algorithms for Chaotic Systems
Descriptive Note : Memorandum rept.
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE ARTIFICIAL INTELLIGENCE LAB
Personal Author(s) : Bradley, Elizabeth
Report Date : 27 Mar 1991
Pagination or Media Count : 23
Abstract : 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. Boundaries of basins of attraction can be breached, vastly altering both global and local convergence properties. Strange attractor bridges can be found that connect previously unreachable points. Examples of both are shown.
Descriptors : *CHAOS , *NONLINEAR SYSTEMS , ALGORITHMS , COMPUTERIZED SIMULATION , CONTROL , PATHS , TOPOLOGY , NUMERICAL INTEGRATION , MAPS , APPROACH , TRAJECTORIES , EQUATIONS , CONVERGENCE , MATHEMATICAL ANALYSIS , BOUNDARIES , SENSITIVITY , COMPUTATIONS , DYNAMICS , PARAMETERS
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE