PID controller frequency-domain tuning for stable, integrating and unstable processes, including dead-time

PID Controller Tuning Based on the Classification of Stable, Integrating and Unstable Processes in a Parameter Plane

“…where φ is the angle of the tangent to the Nyquist curve G p (iω) at ω u and G p (0) (Šekara & Mataušek, 2010a;Mataušek & Šekara, 2011, Šekara & Mataušek, 2011a) that this extension of the Ziegler-Nichols process dynamics characterization, for a large class of stable processes, processes with oscillatory dynamics, integrating and unstable processes, guarantees the desired performance/robustness tradeoff if optimization of the PID controller, for the given maximum sensitivity M s and given sensitivity to measurement noise M n , is performed by applying the frequency response of the model (5) instead of the exact frequency response G p (iω).…”

“…It is based on the recent investigations related to: I) the process modeling of a large class of stable processes, processes having oscillatory dynamics, integrating and unstable processes, with the ultimate gain k u (Šekara & Mataušek, 2010a;Mataušek & Šekara, 2011), and optimizations of the PID controller under constraints on the sensitivity to measurement noise, robustness, and closed-loop system damping ratio (Šekara & Mataušek, 2009(Šekara & Mataušek, ,2010aMataušek & Šekara, 2011), II) the closed-loop estimation of model parameters (Mataušek & Šekara, 2011;Šekara & Mataušek, 2011bŠekara & Mataušek, , 2011c, and III) the process classification and design of a new Gain Scheduling Control (GSC) in the parameter plane (Šekara & Mataušek, 2011a).…”

“…for F C (s)≡1 as in (Panagopoulos et al, 2002;Mataušek & Šekara, 2011). When the proportional, integral, and derivative gains (k, k i , k d ) and derivative (noise) filter time constant T f are determined, parameter b can be tuned as proposed in (Panagopoulos et al, 2002).…”

Analytical design of a generalised predictor‐based control scheme for low‐order integrating and unstable systems with long time delay

“…In the recent years a lot of efforts have therefore been devoted to develop advanced control methods for these processes. Concerning the use of a proportional-integral (PI) or proportional-integral-derivative (PID) controller, improved tuning methods were proposed in the references [3][4][5][6][7][8] to enhance disturbance rejection performance. Due to the fact that the standard internal model control (IMC) structure cannot hold internal stability for integrating and unstable processes 9 , a few IMC-based control schemes were developed in terms of a two-degree-of-freedom (2DOF) control strategy in the literature [10][11][12][13][14][15][16] , based on using different tracking error specifications and stability margins.…”

Robust Fuzzy Digital PID Control for Uncertain Dynamic Systems with Time Delay

“…The controller is designed to make the control system stable, in spite of the uncertainties or parametric changes in the plant to be controlled, so as to establish tracking of the reference trajectory within the frequency range of interest. Since designers and engineers need to deal with industrial plants increasingly complex, taking into account structural and dynamic features such as nonlinearities, uncertainties, parametric variations, time delay, among others, several methods of robust control has been proposed, allowing in their formulation the use of constraints and performance requirements [1] [2][3] [4][5] [6]. In [7], the stabilization of a discrete time robust control system based on reference model, is achieved.…”