Title :
A direct method for the 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 design of nonlinear discrete-time observers by a construction of a change of variables. An explicit expression of the change of variables is given. Some simulations for chaotic systems, such as Lozi system and He´non system, are provided to illustrate the proposed method.
Keywords :
discrete time systems; nonlinear control systems; observers; Henon system; Lozi system; chaotic system; linearizable error dynamics; nonlinear discrete-time observer; Chaos; Design methodology; Difference equations; Eigenvalues and eigenfunctions; Error correction; Mathematics; Nonlinear dynamical systems; Nonlinear systems; Observers; State estimation; Chaotic systems; linearizable error dynamics; nonlinear discrete-time system; nonlinear observer; output injection;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.861708
