Title :
Gain Scheduling Synchronization Method for Quadratic Chaotic Systems
Author :
Liang, Yu ; Marquez, Horacio J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB
fDate :
5/1/2008 12:00:00 AM
Abstract :
A global gain scheduling synchronization method is developed in this paper for the identical synchronization of quadratic chaotic systems. The quadratic chaotic system contains nonlinearity of quadratic terms of system´s states. With chaotic states being bounded in certain regions, the quadratic chaotic system can be rewritten into the linear parameter varying (LPV) form through algebraic transformations. Then, using the gain scheduling technique, two different synchronization structures are proposed to achieve the global synchronization for the quadratic chaotic system. The convergence of the synchronization errors is guaranteed under the second Lyapunov stability theory. Generalized Lorenz systems, such as the Chen system and the Lorenz system, are illustrated as examples to demonstrate the efficiency of the proposed methods.
Keywords :
Lyapunov methods; chaotic communication; convergence; linear matrix inequalities; scheduling; stability; synchronisation; Lyapunov stability theory; algebraic transformations; gain scheduling synchronization method; generalized Lorenz systems; linear matrix inequality; linear parameter varying form; quadratic chaotic systems; synchronization error convergence; Chaos synchronization; LMI; LPV; chaos synchronization; gain scheduling; generalized Lorenz system; linear matrix inequality (LMI); linear parameter varying (LPV);
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2008.916434