Drilling is one of the most challenging and expensive processes in hydrocarbon extraction
and geothermal well development. Dysfunctions faced during drilling can increase the non …

In drilling operations, the interaction of the drillstring with the borehole leads to vibrations
affecting the performance and increasing the drilling cost. The development of controllers to …

We solve the problem of stabilizing a linear ODE having a system of a linearly coupled
hyperbolic PDEs in the actuating path. The control design is based on a backstepping …

This book explores the development of PDE (partial differential equation) backstepping
controllers for the suppression of stop-and-go instabilities and oscillations in congested …

We develop an adaptive output-feedback controller for a wave PDE in one dimension with
actuation on one boundary and with an unknown anti-damping term on the opposite …

Adaptive control of PDEs is a nonlinear feedback design problem for an infinite-dimensional
system. The author's early work for PDEs with unmatched uncertainties was limited to …

Vibrations in mechanical systems are oscillations occurring without being intentionally
provoked. They often have detrimental effects on the system performance and may cause …

We detail in this paper the importance of a change of strategy for the delay robust control of
systems composed of two linear first-order hyperbolic equations. One must go back to the …

In deep oil drilling, the length of the domain over which the wave equation models the
torsional dynamics of the drill string keeps changing with time, and it also depends on the …

This paper considers the backstepping design of observer-based compensators for general
linear heterodirectional hyperbolic ODE–PDE–ODE systems, where the ODEs are coupled …