Reference Tracking for Linear Time Invariant Systems with a Relay Control
| Autor: | Zohra Kader, Antoine Girard |
|---|---|
| Přispěvatelé: | Laboratoire des signaux et systèmes (L2S), Université Paris-Sud - Paris 11 (UP11)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), European Project: 725144,H2020 Pilier ERC,PROCSYS(2017) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Computer science Control (management) Context (language use) 02 engineering and technology Tracking (particle physics) law.invention Domain (software engineering) [SPI.AUTO]Engineering Sciences [physics]/Automatic Tracking error LTI system theory 020901 industrial engineering & automation Control theory Relay law [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering Trajectory |
| Zdroj: | IEEE Conference on Decision and Control IEEE Conference on Decision and Control, Dec 2019, Nice, France. ⟨10.1109/CDC40024.2019.9030267⟩ CDC 2019 IEEE 58th Conference on Decision and Control (CDC) |
| DOI: | 10.1109/CDC40024.2019.9030267⟩ |
| Popis: | International audience; This paper investigates the problem of tracking a reference trajectory for Linear Time Invariant (LTI) systems using a relay feedback. First of all, the problem of a reference tracking is reformulated as a stabilization problem of the tracking error. Then, under some conditions on the reference inputs a design approach of a relay feedback controller that guarantees a perfect tracking of the reference trajectory is provided. Moreover, conditions in LMI form are proposed in order to synthesize a relay feedback and provide an estimation of the domain of attraction. Secondly, the case where the reference inputs can take the same values as the control input is considered. In this context, achieving a perfect tracking is no longer possible. Thus, using the comparison principle, a relay feedback controller that guarantees a practical stabilization of the tracking error is proposed. An estimation of the domain of attraction along with the bound of the tracking error are equally provided. Finally, computer simulations show the efficiency of the developed method over a numerical example. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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