Insights into the multiplicity-induced-dominancy for scalar delay-differential equations with two delays

Fueyo, Sébastien; Mazanti, Guilherme; Boussaada, Islam; Chitour, Yacine; Niculescu, Silviu–Iulian

doi:10.1016/j.ifacol.2021.11.124

Cited by 2 publications

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To the best of our knowledge, the multi-delay case was first investigated in [16], where the MID property is proved to hold for the first-order retarded scalar equation with two delays. Next, in the context of spectral values with strictly intermediate admissible multiplicities, one may cite [9] where a discriminant-based parametric MID was investigated in the second-order retarded case with spectral values of codimensions three and four, and [2] where sufficient and necessary conditions are provided for the MID to hold in nth-order retarded systems with a finite dimensional part corresponding to realrooted plants.…”

Section: Introductionmentioning

confidence: 99%

Multiplicity–Induced–Dominancy property for second–order neutral differential equations with application in oscillation damping

Benarab

Boussaada

Trabelsi

et al. 2023

European Journal of Control

Self Cite

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Multiplicity–Induced–Dominancy property for second–order neutral differential equations with application in oscillation damping

Benarab

Boussaada

Trabelsi

et al. 2023

European Journal of Control

Self Cite

View full text Add to dashboard Cite

Comparing Advanced Control Strategies to Eliminate Stick-Slip Oscillations in Drillstrings

et al. 2022

View full text Add to dashboard Cite

In this paper, we present three methods to achieve reliable drillbit angular velocity control for deep drilling operations. We consider a multi-sectional drilling system with the bit off-bottom, which represents the system at the start-up of a drilling operation, e.g., after a connection. The three control procedures are all based on a distributed model for the drilling device. The proposed model has been field validated and considers Coulomb friction between the drillstring and the borehole. The first algorithm we propose combines the industry standard ZTorque controller with a feedforward component. The second procedure is based on a multiplicity-induced-dominancy (MID) design that corresponds to a pole-placement for the downhole state. Finally, the last class of controllers relies on a recursive interconnected dynamics framework. All the controllers are combined with a disturbance rejection procedure whose design is based on a switching-mode approach. These three algorithms are illustrated in simulations with field scenarios on several test-cases. Their complexities, effectiveness and limitations regarding industrial implementation criteria are discussed.

show abstract

Insights into the multiplicity-induced-dominancy for scalar delay-differential equations with two delays

Cited by 2 publications

References 18 publications

Multiplicity–Induced–Dominancy property for second–order neutral differential equations with application in oscillation damping

Multiplicity–Induced–Dominancy property for second–order neutral differential equations with application in oscillation damping

Comparing Advanced Control Strategies to Eliminate Stick-Slip Oscillations in Drillstrings

Contact Info

Product

Resources

About