Observer-based control of vertical penetration rate in rotary drilling systems

Model complexity reduction and controller design for managed pressure drilling automation

“…To facilitate the model reduction procedure of the next section, we first reformulate the model in the perturbation coordinates described by ( 5), (7) and (8). This model can be decomposed into a feedback interconnection of a linear subsystem and a nonlinear mapping, where the latter represents the nonlinearities in the boundary conditions.…”

“…This combination provides a back-pressure that can be actively controlled by changing the choke opening. Nowadays, the use of automatic control solutions is becoming more common in the automation of rotary drilling processes [7]. In particular in automated MPD, the choke valve, thereby the back-pressure, is controlled by an automatic pressure control system [6][7][8].…”

“…Nowadays, the use of automatic control solutions is becoming more common in the automation of rotary drilling processes [7]. In particular in automated MPD, the choke valve, thereby the back-pressure, is controlled by an automatic pressure control system [6][7][8]. The performance of this control system depends on the pressure controller, which, in turn, is typically based on an underlying hydraulics model.…”

Optimal reduced‐order interval observer design for uncertain continuous‐time linear systems

“…let υ(t) = V𝜐(t) and ω(t) = W𝜔(t). By applying Assumption 1 and the inequality (1), we can directly transform (3) into the form (2) with…”

“…State estimation is essential for the state‐based decision‐making process when partial system states cannot be directly measured by the physical sensors 1‐4 . Accordingly, the development of the observer design technique has always been the focus of control engineering.…”