State estimation for MISO non–linear systems in controller canonical form
| Autor: | Benoît Schwaller, José Ragot, Birgitta Dresp-Langley, Denis Ensminger |
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| Rok vydání: | 2016 |
| Předmět: |
continuous time
non-linear systems 0209 industrial biotechnology State variable Observer (quantum physics) Applied Mathematics QA75.5-76.95 02 engineering and technology Lipschitz continuity Stability (probability) Nonlinear system 020901 industrial engineering & automation Control theory state observers Electronic computers. Computer science Attractor QA1-939 0202 electrical engineering electronic engineering information engineering Computer Science (miscellaneous) 020201 artificial intelligence & image processing Canonical form State observer Engineering (miscellaneous) Mathematics |
| Zdroj: | International Journal of Applied Mathematics and Computer Science, Vol 26, Iss 3, Pp 569-583 (2016) |
| ISSN: | 2083-8492 |
| DOI: | 10.1515/amcs-2016-0040 |
| Popis: | We propose a new observer where the model, decomposed in generalized canonical form of regulation described by Fliess, is dissociated from the part assuring error correction. The obtained stable exact estimates give direct access to state variables in the form of successive derivatives. The dynamic response of the observer converges exponentially, as long as the nonlinearities are locally of Lipschitz type. In this case, we demonstrate that a quadratic Lyapunov function provides a number of inequalities which guarantee at least local stability. A synthesis of gains is proposed, independent of the observation time scale. Simulations of a Düffing system and a Lorenz strange attractor illustrate theoretical developments. |
| Databáze: | OpenAIRE |
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