A new methodology for an adaptive state observer design for a class of nonlinear systems with unknown parameters in unmeasured state dynamics
| Autor: | Nabil Oucief, Salim Labiod, Mohamed Tadjine |
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| Rok vydání: | 2016 |
| Předmět: |
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 |
| Zdroj: | Transactions of the Institute of Measurement and Control. 40:1297-1308 |
| ISSN: | 1477-0369 0142-3312 |
| DOI: | 10.1177/0142331216680288 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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