Title :
Interval digital modeling of chaotic nonlinear systems
Author :
Shieh, Cheng-Shion ; Lu, Yi-Yu ; Lin, Jyun-Hong
Author_Institution :
Dept. of Electr. Eng., Far-East Univ., Tainan, Taiwan
Abstract :
This paper proposes a new method based on gradient operator together with interval arithmetic operations to converter a continuous-time chaotic nonlinear system to an equivalent discrete-time uncertain model. The bounds of interval system matrices via the proposed method are able to tightly enclose the exact nonlinear system. Finally we take a nonlinear chaotic circuit to illustrative our method´s effectiveness.
Keywords :
chaos; continuous time systems; discrete time systems; gradient methods; matrix algebra; nonlinear control systems; uncertain systems; continuous time chaotic nonlinear system; discrete time uncertain model; gradient operator; interval arithmetic operation; interval digital modeling; interval system matrices; nonlinear chaotic circuit; Automatic control; Automation; Chaos; Chaotic communication; Communication system control; Digital arithmetic; Matrix converters; Nonlinear control systems; Nonlinear systems; Vectors; gradient; interval arithmetic operations;
Conference_Titel :
Computer Communication Control and Automation (3CA), 2010 International Symposium on
Conference_Location :
Tainan
Print_ISBN :
978-1-4244-5565-2
DOI :
10.1109/3CA.2010.5533418
