✦ LIBER ✦

Discrete-time nonlinear observer design using functional equations

✍ Scribed by Nikolaos Kazantzis; Costas Kravaris

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 135 KB
Volume: 42
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(00)00071-2

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✦ Synopsis

The present research work proposes a new approach to the discrete-time nonlinear observer design problem. Based on the early ideas that in uenced the development of the linear Luenberger observer, the proposed approach develops a nonlinear analogue. The formulation of the discrete-time nonlinear observer design problem is realized via a system of ÿrst-order linear nonhomogeneous functional equations, and a rather general set of necessary and su cient conditions for solvability is derived using results from functional equations theory. The solution to the above system of functional equations can be proven to be locally analytic and this enables the development of a series solution method, that is easily programmable with the aid of a symbolic software package.

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