Discrete-time nonlinear observer design using functional equations

abstract

• The present research work proposes a new approach to the discrete-time nonlinear observer design problem. Based on the early ideas that influenced 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 first-order linear nonhomogeneous functional equations, and a rather general set of necessary and sufficient 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. 2001 Elsevier Science B.V. All rights reserved.

authors

• Kravaris, Costas

published proceedings

• SYSTEMS & CONTROL LETTERS

author list (cited authors)

• Kazantzis, N., & Kravaris, C.

citation count

• 60

complete list of authors

• Kazantzis, N||Kravaris, C

publication date

• February 2001

publisher

• Elsevier  Publisher

published in

• Systems & control letters (Print)  Journal

keywords

• Discrete-time Systems
• Error Dynamics Linearization
• Functional Equations
• Nonlinear Observers
• Nonlinear Systems

Digital Object Identifier (DOI)

• 10.1016/S0167-6911(00)00071-2

start page

• 81

end page

• 94

volume

• 42

issue

• 2

URL

• http://dx.doi.org/10.1016/s0167-6911(00)00071-2