Adaptive Backstepping Controller for Uncertain Systems With Unknown Input Time-Delay. Application to SI Engines

Delphine Bresch-Pietri (1) , Jonathan Chauvin (2) , Nicolas Petit (1)

1 CAS - Centre Automatique et Systèmes
2 IFPEN - IFP Energies nouvelles

In this paper, we study the equilibrium regulation of potentially unstable linear systems with an unknown input time-delay and unknown parameters in the plant. We extend recent results from the literature where such systems are treated using a backstepping approach applied to a distributed parameters system representation of the delay. We develop a local result, robust to delay errors and apply it for the control of the Air-Fuel Ratio in Spark Ignition engines. A proof of convergence is established for this particular example. Experimental results stress the relevance of the proposed control algorithm.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

Delphine Bresch-Pietri, Jonathan Chauvin, Nicolas Petit. Adaptive Backstepping Controller for Uncertain Systems With Unknown Input Time-Delay. Application to SI Engines. 49th IEEE Conference on Decision and Control, Dec 2010, Atlanta, United States. pp.3680-3687, ⟨10.1109/CDC.2010.5717253⟩. ⟨hal-00554424⟩