Observer-Based Controller for Disturbance Decoupling of Max-plus Linear Systems with Applications to a High Throughput Screening System in Drug Discovery

Adetola Oke (1) , Laurent Hardouin (2) , Mehdi Lhommeau (2) , Ying Shang (1)

1 SIUE - Southern Illinois University [Edwardsville]
2 LARIS - Laboratoire Angevin de Recherche en Ingénierie des Systèmes

Max-plus linear systems are often used to model timed discrete-event systems, which represent system operations as discrete sequences of events in time. This paper presents the observer-based controller to solve the disturbance decoupling problem for max-plus linear systems where only estimations of system states are available for the controller. This observer-based controller leads to a greater control input than the one obtained with the output feedback strategy based on just-in-time criterion. A high throughput screening system in drug discovery illustrates this main result by showing that the scheduling obtained from the observer-based controller solving the disturbance decoupling problem is better than the scheduling obtained from the output feedback controller.

Mots clés: discrete event systems; Control applications; Petri nets

Domaines: Systèmes et contrôle [cs.SY]; Optimisation et contrôle [math.OC]

Adetola Oke, Laurent Hardouin, Mehdi Lhommeau, Ying Shang. Observer-Based Controller for Disturbance Decoupling of Max-plus Linear Systems with Applications to a High Throughput Screening System in Drug Discovery. 56th IEEE Conference on Decision and Control, 2017, Melbourne, Australia. ⟨10.1109/CDC.2017.8264284⟩. ⟨hal-01670157⟩