Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:D1L-E
Session:
Number:D1L-E1
A Limit Cycle Control Method for Multi-Modal and 2-Dimensional Piecewise Affine Control Systems
Tatsuya Kai,
pp.711-714
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
This paper considers a limit cycle control problem of a multi-modal and 2-dimensional piecewise affine control system. First, we present a limit cycle synthesis problem and derive a solution of the problem. In addition, theoretical analysis on the rotational direction and the period of a limit cycle is shown. Next, the limit cycle control problem for piecewise affine control system is formulated. Then, we obtain matching conditions such that the piecewise affine control system with the state feedback law corresponds to the reference system which generates a desired limit cycle. Finally, in order to indicate the effectiveness of the new method, a numerical simulation is illustrated.