Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:A3L-C

Session:

Number:87

Exploring and Stabilizing a Desired Periodic Orbit in Simple Switched Dynamical Systems

Masaki Inami,  Toshimichi Saito,  

pp.87-89

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.87

PDF download (612.4KB)

Summary:
This paper studies basic dynamics and control of simple switched dynamical systems. The dynamics is described by a piecewise constant equation, the trajectory is piecewise linear and the embedded return map is piecewise linear. First, using the return map, we analyze typical periodic/chaotic phenomena and related bifurcation. Second, combining the instantaneous state setting with the bi-section methods, we present a simple method for exploring and stabilizing a desire periodic orbit. The performance is investigated in basic numerical experiments.

References:

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