Title :
A linear differential inequality approach to nonlinear observer design for chaotic synchronization
Author :
Yaz, Edwin Engin ; Azemi, Asad
Author_Institution :
Dept. of Electr. Eng., Arkansas Univ., Fayetteville, AR, USA
Abstract :
An observer design approach is introduced for a class of continuous-time nonlinear systems driven by finite energy disturbances. A Lyapunov-like technique is used in guaranteeing the uniform boundedness of the estimation error provided that a linear differential inequality holds. The new observer is applied to estimating the state of a nonlinear system that exhibits chaotic behavior in a synchronization scheme
Keywords :
Lyapunov methods; continuous time systems; nonlinear control systems; observers; synchronisation; Lyapunov-like technique; chaotic behavior; chaotic synchronization; continuous-time nonlinear systems; estimation error; finite energy disturbances; linear differential inequality; linear differential inequality approach; nonlinear observer design; nonlinear system; observer design approach; synchronization scheme; uniform boundedness; Chaos; Chaotic communication; Estimation error; Master-slave; Nonlinear equations; Nonlinear systems; Observers; Riccati equations; State estimation; Symmetric matrices;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946130