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Authors
Affiliations
1 Department of Avionics Engineering, Hanseo University, Taean-gun - 357-953, KR
2 Department of Aeromechanical Engineering, Hanseo University, Taean-gun - 357-953, KR
3 Department of Computer and Information Communication Engineering, Hongik University, Sejong City - 339-701, KR
Source
Indian Journal of Science and Technology, Vol 8, No 26 (2015), Pagination:
Abstract
This paper presents a modeling strategy using prototypes in manifold forms for unknown chaotic behaviors, observed possibly in power electronics, robot manipulators, lasers, etc.; it models from only a finite number of one dimensional time series observables in order to simplify both the modeling and the controller design. With the intention of dividing the operating space into a set of smaller regions, the Self-Organizing Map (SOM) is employed as a modeling groundwork and prototypes in manifold forms attached to the SOM are created in the least square sense for each region. Once a set of prototypes representing the operating space is established, the regional controllers associated with the prototypes are designed with a traditional PID control law. Switching of the controllers is done synchronously by the SOM, which chooses the regional operating space, linked with an active regional prototype valid in a certain operating regime. Simulations on the chaotic oscillator regulating the unknown chaos to a fixed point or a stable periodic orbit illustrate the efficiency of the proposed modeling and control architecture.
Keywords
Chaotic Resonance, Modeling, PID Control, Self-Organizing Map
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