modelage de la réponse temporelle d'un système en utilisant une transformation de contrainte de sortie en contrainte d'entrée
Autor: | Emmanuel Chambon, Pierre Apkarian, Laurent Burlion |
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Přispěvatelé: | ONERA - The French Aerospace Lab [Toulouse], ONERA |
Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
0209 industrial biotechnology
02 engineering and technology Interval (mathematics) anti-windup 020901 industrial engineering & automation time-domain constraint Control theory interval constraint Stability theory 0202 electrical engineering electronic engineering information engineering CONTRAINTE Mathematics Linear system Scalar (physics) linear systems unknown disturbance Ball and beam [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation COMMANDE Computer Science Applications Variable (computer science) Transformation (function) SATURATION Control and Systems Engineering 020201 artificial intelligence & image processing constrained control |
Zdroj: | International Journal of Control International Journal of Control, Taylor & Francis, 2017, 90, pp.1-32. ⟨10.1080/00207179.2017.1286043⟩ |
ISSN: | 0020-7179 1366-5820 |
DOI: | 10.1080/00207179.2017.1286043⟩ |
Popis: | International audience; For linear systems, the control law design is often performed so that the resulting closed loop meets specific frequency-domain requirements. However, in many cases, it may be observed that the obtained controller does not enforce time-domain requirements amongst which the objective of keeping a scalar output variable in a given interval. In this article, a transformation is proposed to convert prescribed bounds on an output variable into time-varying saturations on the synthesised linear scalar control law. This transformation uses some well-chosen time-varying coefficients so that the resulting time-varying saturation bounds do not overlap in the presence of disturbances. Using an anti-windup approach, it is obtained that the origin of the resulting closed loop is globally asymptotically stable and that the constrained output variable satisfies the time-domain constraints in the presence of an unknown finite-energy-bounded disturbance. An application to a linear ball and beam model is presented. |
Databáze: | OpenAIRE |
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