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 …

Most model-based control and estimation techniques put limitations on the structure and
complexity of the models to which they are applied. This has motivated the development of …

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 …

This paper involves the dynamic (stability) analysis of distributed drill-string systems. A
minimal set of parameters characterizing the linearized, axial-torsional dynamics of a …

A distributed model of a drill string is presented, with Coulomb stiction as a distributed
source term, to investigate the effect of borehole inclination and borehole friction on the …

In this paper, the output feedback stabilization of an underactuated chain of scalar
hyperbolic systems coupled at one end with a finite-dimensional system is addressed. As …

The undesired stick-slip vibrations of the drill-string can lead to drilling failures or even
serious drilling accidents. Most of previous researches devoted to controller design to …

Precise motion control remains one of the most important problems in modern technology. It
is especially difficult in the case of two-mass systems with flexible coupling if only the motor …

This paper presents a backstepping solution for the output feedback control of general linear
heterodirectional hyperbolic PDE-ODE systems with spatially varying coefficients. Thereby …