Title :
A limit cycle synthesis method of multi-modal and 2-dimensional piecewise affine systems
Author :
Kai, Tatsuya ; Masuda, Ryo
Author_Institution :
Fac. of Inf. Sci. & Electr. Eng., Kyushu Univ., Fukuoka, Japan
Abstract :
This paper is devoted to a synthesis problem of a multi-modal and 2-dimensional piecewise affine system that generates a desired stable limit cycle. By using the proposed synthesis method, we can obtain a multi-modal and 2-dimensional piecewise affine system from given data on a desired limit cycle trajectory. In addition, the existence and the uniqueness of desired stable limit cycle for the obtained system can be proven. It also turns out that we can determine the rotation direction and the period of the limit cycle by adjusting the parameters of the system. In order to show the effectiveness of our new synthesis method, we illustrate various simulation results.
Keywords :
control system synthesis; limit cycles; multidimensional systems; piecewise linear techniques; 2-dimensional piecewise affine systems; limit cycle period; limit cycle synthesis method; limit cycle trajectory; multimodal piecewise affine systems; rotation direction; Clocks; Limit-cycles; Nonlinear systems; Simulation; Time series analysis; Trajectory; Vectors;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160330
