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 paper is concerned with two essential problems in adaptive control. The first is to
improve the stability criteria in the presence of the constraint and unknown parameters, and …

The disturbance estimate is the central idea of active disturbance rejection control (ADRC),
where the disturbance is estimated via extended state observer (ESO). However, the …

The goal of this paper is to design a stabilizing feedback boundary control for a reaction-
diffusion partial differential equation (PDE), where the boundary control is subject to a …

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 …

In this article, we present an event-triggered boundary control scheme with a, likewise, event-
triggered batch least-squares parameter identification for a hyperbolic PDE-ODE system …

Motivated by an engineering application of torsional vibration suppression of off-shore oil
drilling, we design an adaptive output-feedback controller for a one-dimensional wave …

The problem of boundary stabilization of thermoacoustic oscillations in the Rijke tube is
investigated using the backstepping method; as a first step, this work only considers the full …

Lifting up a cage with miners via a mining cable causes axial vibrations of the cable. These
vibration dynamics can be described by a coupled wave partial differential equation …