PID Tuning: A Modern Approach via the Weighted Sensitivity Problem

This book presents an Internal Model Control (IMC)-like design method that avoids the common pitfall of traditional IMC and is designed to work well for plants of modest complexity. It focuses on the closed-loop sensitivity function and provides a systematic, optimization-based approach to tuning PID controllers, encompassing stable, integrating, and unstable processes.

Format: Paperback / softback
Length: 154 pages
Publication date: 25 September 2023
Publisher: Taylor & Francis Ltd

The PID controller stands as the prevailing choice in the realm of control applications, holding a dominant position in the process control industry. Among the related analytical methods, Internal Model Control (IMC) has garnered remarkable industrial acceptance owing to its robustness and excellent set-point responses. Nevertheless, the traditional application of IMC often yields suboptimal load disturbance rejection for lag-dominant and integrating plants. To address this challenge, this book presents an IMC-like design method that circumvents this common pitfall and is specifically tailored for plants of modest complexity, where analytical PID tuning is feasible. For the sake of simplicity, the design primarily concentrates on the closed-loop sensitivity function, encompassing formulations for both the H∞ and H2 norms. This book is intended for graduate students and researchers in control engineering, offering a comprehensive exploration of the robustness/performance and servo/regulation trade-offs. It adopts a systematic, optimization-based approach, culminating in well-motivated, model-based, and analytically derived tuning rules. By seamlessly integrating stable, integrating, and unstable processes, this book demonstrates how to tune PID controllers in a unified manner. Furthermore, it identifies the Weighted Sensitivity Problem as the sweet spot of robust, optimal, and PID control, providing a common analytical framework that generalizes existing tuning proposals.

Weight: 453g
Dimension: 254 x 178 (mm)
ISBN-13: 9780367536909