Backstepping and sliding modes for observer design of distributed parameter system
| Autor: | Driss Boutat, Lassaâd Sbita, Abdessamad Abdelhedi, Wided Saadi |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
0209 industrial biotechnology
education.field_of_study Partial differential equation Observer (quantum physics) Population 02 engineering and technology Separation principle 020901 industrial engineering & automation Control theory Distributed parameter system Backstepping 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing State observer education Instrumentation Alpha beta filter Mathematics |
| Zdroj: | Transactions of the Institute of Measurement and Control. 40:542-549 |
| ISSN: | 1477-0369 0142-3312 |
| DOI: | 10.1177/0142331216661621 |
| Popis: | The observer design for partial differential equations has so far been an open problem. In this paper, an observer design for systems with distributed parameters using sliding modes theory and backstepping-like procedure in order to achieve exponential convergence is presented. Such an observer is built using the knowledge available within and throughout an integral transformation of Volterra with the output injection functions. The gains of the observer, which are attained by solving a partial differential equations system with output injection, will guarantee the exponential convergence of the observer. The design method is applied to an epidemic system to consider the sensitive population S. |
| Databáze: | OpenAIRE |
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