Title :
Nonlinear H∞ synchronization of Lur´e systems: dynamic output feedback case
Author :
Suykens, Johan A K ; Curran, Paul F. ; Yang, Tao ; Vandewalle, Joos ; Chua, Leon O.
Author_Institution :
ESAT, Katholieke Univ., Leuven, Heverlee, Belgium
fDate :
11/1/1997 12:00:00 AM
Abstract :
We introduce a new master-slave synchronization scheme for Lur´e systems, which makes use of vector field modulation and dynamic output feedback in order to recover a message signal. The synchronization scheme is represented in standard plant form according to modern control theory. I/O properties of the scheme are analyzed using a dissipativity approach with a quadratic storage function and a supply rate with finite L2-gain. The method avoids transmission of the full state vector. The controller design is based on a matrix inequality, corresponding to nonlinear H∞ synchronization. The new scheme is illustrated on Chua´s circuit
Keywords :
Chua´s circuit; H∞ control; chaos; feedback; matrix algebra; modulation; synchronisation; Chua´s circuit; I/O properties; Lur´e systems; control theory; controller design; dynamic output feedback; master-slave synchronization scheme; matrix inequality; message signal recovery; nonlinear H∞ synchronization; quadratic storage function; secure communication; vector field modulation; Chaotic communication; Circuits; Communication system control; Computer aided software engineering; Control systems; Control theory; Linear feedback control systems; Linear matrix inequalities; Output feedback; State feedback;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
