Dimensional analysis approach to dominant three-pole placement in delayed PID control loops

Velocity control of servo systems using an integral retarded algorithm

“…In spite of the infinite spectrum of the characteristic equation (4), the assignment of a reduced number of dominant roots defines the closed-loop dynamics [32,33]. In fact, the previous analysis allows assigning a triple dominant real root to obtain a desired exponential decay rate.…”

Delay-margin design approach on a DC motor speed-control system with a single plant delay

“…Finding the optimal P I gains is challenging since an analytical solution of the closed loop system is impossible to obtain due to its infinite dimensional nature in the presence of delay. We therefore will resort to numerical and computational tools in this optimization effort, as was already suggested in [40], [42].…”

“…We test whether or not the calculated P I gains indeed create the intended dynamic behavior on the experimental system, and report the results. Moreover, inspired from [40], [42], we utilize rightmost root calculation and integral absolute error (IAE) metrics for step tracking performance to calculate the optimal P I gains, which we then validate experimentally.…”

Decoupling Control of Tito System Supported by Dominant Pole Placement Method

“…Das et al [8] tune PID controllers by using the guaranteed dominant pole placement method. Investigation of this method for the time delay systems was performed in [9][10][11][12]. Madady and Reza-Alikhani considered approaches for the first-order controller design using dominant pole placement, too [13].…”