Title :
A direct construction of nonlinear discrete-time observer with linearizable error dynamics
Author_Institution :
Dept. of Math., Southern Illinois Univ., Carbondale, IL, USA
Abstract :
We provide a direct method for the construction of a change of coordinates for the design of nonlinear discrete-time observers. An explicit expression of a change of coordinates is given. Some simulations for chaotic systems, such as Lozi system and Henon system, are provided to illustrate the method. The proposed approach can be applied to continuous-time systems once the corresponding discretized structures are determined.
Keywords :
chaos; continuous time systems; discrete time systems; nonlinear systems; observers; Henon system; Lozi system; change of coordinates construction; chaotic systems; continuous-time systems; linearizable error dynamics; nonlinear discrete-time observer; Chaos; Closed-form solution; Difference equations; Eigenvalues and eigenfunctions; Jacobian matrices; Linear systems; Mathematics; Nonlinear dynamical systems; Nonlinear systems; State estimation;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470535
