Nonlinear observer design using Lyapunov's auxiliary theorem Academic Article

abstract

• The present work proposes a new approach to the nonlinear observer design problem. Based on the early ideas that influenced the development of the linear Luenberger observer theory, the proposed approach develops a nonlinear analogue. The formulation of the observer design problem is realized via a system of singular first-order linear PDEs, and a rather general set of necessary and sufficient conditions for solvability is derived by using Lyapunov's auxiliary theorem. The solution to the above system of PDEs is locally analytic and this enables the development of a series solution method, that is easily programmable with the aid of a symbolic software package. 1998 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

• 334

complete list of authors

• Kazantzis, N||Kravaris, C

publication date

• July 1998

publisher

• Elsevier  Publisher

published in

• Systems and Control Letters  Journal

keywords

• Error Dynamics Linearization
• Lyapunov's Auxiliary Theorem
• Nonlinear Observers
• Nonlinear Systems
• Singular Pdes

Digital Object Identifier (DOI)

• 10.1016/S0167-6911(98)00017-6

start page

• 241

end page

• 247

volume

• 34

issue

• 5

URL

• http://dx.doi.org/10.1016/s0167-6911(98)00017-6