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A new methodology for an adaptive state observer design for a class of nonlinear systems with unknown parameters in unmeasured state dynamics
- Source :
- Transactions of the Institute of Measurement and Control. 40:1297-1308
- Publication Year :
- 2016
- Publisher :
- SAGE Publications, 2016.
-
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.
- Subjects :
- 0209 industrial biotechnology
Observer (quantum physics)
020208 electrical & electronic engineering
Structure (category theory)
02 engineering and technology
State (functional analysis)
Matrix (mathematics)
Nonlinear system
020901 industrial engineering & automation
Control theory
0202 electrical engineering, electronic engineering, information engineering
Canonical form
State observer
Instrumentation
Alpha beta filter
Mathematics
Subjects
Details
- ISSN :
- 14770369 and 01423312
- Volume :
- 40
- Database :
- OpenAIRE
- Journal :
- Transactions of the Institute of Measurement and Control
- Accession number :
- edsair.doi...........10eb7c36501de88e0effc3c06174d6b3