Title
A new methodology for an adaptive state observer design for a class of nonlinear systems with unknown parameters in unmeasured state dynamics
Abstract
An adaptive state observer is an adaptive observer that does not require the persistent excitation condition to estimate the state. The usual structural requirement for designing this kind of observers is that the unknown parameters explicitly appear in the measured state dynamics. This paper deals with the problem of adaptive state observer synthesis for a class of nonlinear systems with unknown parameters in unmeasured state dynamics. The novelty of the proposed approach is that it requires neither a canonical form nor the approximation of some of the output's time derivatives. Firstly, we establish a new matrix equality that characterizes the structure of almost all systems found in the very small literature dealing with this problem. Then, this equality is exploited in the construction of the adaptation law. This simplifies the design procedure and makes it very similar to the conventional adaptive state observer design procedure. The problem of finding the observer gains is expressed as a linear matrix inequalities optimization problem. Two examples are given to demonstrate the validity of the proposed scheme.
Year
DOI
Venue
2018
10.1177/0142331216680288
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
Keywords
DocType
Volume
Nonlinear adaptive observer,adaptive state observer,persistent excitation,observer matching condition
Journal
40.0
Issue
ISSN
Citations 
4
0142-3312
1
PageRank 
References 
Authors
0.37
9
3
Name
Order
Citations
PageRank
Nabil Oucief110.37
Mohamed Tadjine27110.98
Labiod Salim329417.65