Title :
A chaos model via relay feedback
Author :
Sugiki, Akihiko ; Hatakeyama, Shoshiro ; Furuta, Katsuhisa
Author_Institution :
Dept. of Appl. Syst. Eng., Tokyo Denki Univ., Saitama, Japan
Abstract :
The generation of chaos by a linear system with nonlinear feedback has been studied by many researchers. In this paper, a chaotic system using “relay” as nonlinear feedback element is presented. The system is easily analysed by means of the describing function approach, which gives parameter condition leading to chaotic motion. By the bilinear transformation, the proposed system is also shown to be transformed into Brockett proposed chaotic system with piecewise-linear feedback element
Keywords :
chaos; feedback; nonlinear control systems; piecewise linear techniques; relay control; Brockett chaotic system; bilinear transformation; chaos model; describing function method; nonlinear control systems; relay feedback; Chaos; Control systems; Control theory; Ear; Equations; Linear systems; Negative feedback; Output feedback; Piecewise linear techniques; Relays;
Conference_Titel :
Control Applications, 1999. Proceedings of the 1999 IEEE International Conference on
Conference_Location :
Kohala Coast, HI
Print_ISBN :
0-7803-5446-X
DOI :
10.1109/CCA.1999.801175
