Title :
Nonlinear H∞ synchronization: case study for a hyperchaotic system
Author :
Suykens, Suykens ; Vandewalle, Joos ; Chua, L.O.
Author_Institution :
Dept. of Electr. Eng., Katholieke Univ., Leuven, Belgium
fDate :
31 May-3 Jun 1998
Abstract :
In this paper we apply the method of nonlinear H∞ synchronization to a hyperchaotic system, which consists of two unidirectionally coupled Chua´s circuits. This method makes use of a vector field modulation at the master system by a filtered binary valued message signal. Static output feedback is applied to the slave system. The original message is recovered from a tracking error, which is defined after representing the synchronization scheme in standard plant form according to modern control theory. The controller is designed based upon a matrix inequality, in order to minimize the L2-gain from the exogenous input (message signal and channel noise) to the regulated output (tracking error)
Keywords :
Chua´s circuit; chaos; circuit feedback; coupled circuits; nonlinear network analysis; synchronisation; tracking; channel noise; control theory; exogenous input; filtered binary valued message signal; hyperchaotic system; matrix inequality; nonlinear H∞ synchronization; regulated output; static output feedback; tracking error; unidirectionally coupled Chua´s circuits; vector field modulation; Chaotic communication; Circuit noise; Communication system control; Computer aided software engineering; Coupling circuits; Error correction; Linear matrix inequalities; Master-slave; Output feedback; State feedback;
Conference_Titel :
Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-4455-3
DOI :
10.1109/ISCAS.1998.698999
