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Adaptive Backstepping for Uncertain Systems With Time-Delay On-Line Update Laws

Abstract : This paper addresses the general problem of 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. Furthering previous approaches, our contribution concerns on-line adaptation of the delay. We develop a local asymptotic convergence result for single-input systems. It is illustrated in simulations on the control of the Air-Fuel Ratio in Spark Ignition engines. The results on this particular example stress the merits of the proposed control algorithm which, with reduced implementation difficulties, reveals sympathetic to on-line applications.
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Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Tuesday, August 30, 2011 - 5:00:30 PM
Last modification on : Wednesday, November 17, 2021 - 12:30:52 PM


  • HAL Id : hal-00617882, version 1


Delphine Bresch-Pietri, Jonathan Chauvin, Nicolas Petit. Adaptive Backstepping for Uncertain Systems With Time-Delay On-Line Update Laws. 2011 American Control Conference, Jul 2011, France. pp.4890-4897. ⟨hal-00617882⟩



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