Summary

International Symposium on Nonlinear Theory and its Applications

2008

Session Number:C2L-B

Session:

Number:C2L-B4

A discrete-time control approach for stabilizing unknown steady state of chaotic systems

Tadashi Tsubone,  Kenichi Kurimoto,  Yasuhiro Wada,  

pp.-

Publication Date:2008/9/7

Online ISSN:2188-5079

DOI:10.34385/proc.42.C2L-B4

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Summary:
A discrete-time control system with dynamic states for stabilizing unknown unstable fixed points of nonlinear systems is introduced. The control method is based on a discrete-time system which corresponds to an embedded return map derived from the continuous-time dynamics of the nonlinear systems. The discrete-time approach allows to stabilize unknown unstable fixed points of the return maps. In this paper, we show that our control method can stabilize unknown unstable periodic orbits of chaotic spiking oscillators.