Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:4-2-1
Session:
Number:4-2-1-1
Synthesis of Nonautonomous Systems with Specified Limit Cycles
Atsuko OHNO, Toshimitsu USHIO, Masakazu ADACHI,
pp.353-356
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
This paper deals with a synthesis of a nonautonomous system with a stable limit cycle. By extending Green’s method, by which arbitrary periodic solutions can be designed in autonomous systems, it is shown that a nonautonomous system whose transient trajectories converge to a prescribed limit cycle can be synthesized. Furthermore, we apply receding horizon control to determine the optimal time-depending parameters in the system. The validity of the proposed synthesis is illustrated by examples of 3-dimensional systems.