Filling a gap in the literature, this book is a presentation of recent results in the field of PID controllers, including their design, analysis, and synthesis. The focus is on linear time-invariant plants, which may contain a time-delay in the feedback loop---a setting that captures many real-world practical and industrial situations. Emphasis is placed on the efficient computation of the entire set of PID controllers achieving stability and various performance specifications---both classical (gain and phase margin) and modern (H-infinity norms of closed-loop transfer functions)---enabling realistic design with several different criteria. Efficiency is important for the development of future software design packages, as well as further capabilities such as adaptive PID design and online implementation.
Additional topics and features include:
* generalization and use of results-due to Pontryagin and others-to analyze time-delay systems
* treatment of robust and nonfragile designs that tolerate perturbations
* examination of optimum design, allowing practitioners to find optimal PID controllers with respect to an index
* study and comparison of tuning techniques with respect to their resilience to controller parameter perturbation
* a final chapter summarizing the main results and their corresponding proposed algorithms
The results presented here are timely given the resurgence ofinterest in PID controllers and will find widespread application, specifically in the development of computationally efficient tools for PID controller design and analysis. Serving as a catalyst to bridge the theory--practice gap in the control field as well as the classical--modern gap, this monograph is an excellent resource for control, electrical, chemical, and mechanical engineers, as well as researchers in the field of PID controllers.
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This book is a systematic presentation of many important aspects of the authors' work on PID control with emphasis on time-delay systems. The book describes the set of PID controllers that stabilize the system and explains how to use this set to design PID controllers that achieve robustness, nonfragility, and improved performance....
The book is of interest to practicing engineers, graduate students, and researchers working in the systems and control area. The authors do an excellent job presenting the materials systematically, striking a balance between mathematical rigor and accessibility to average readers. The book contains numerous diagrams and many illustrative examples to enhance its readability...[and] is very well written and can be used for self-study and as a reference." -IEEE Control Systems Magazine
"This monograph presents some recent results on the proportional-integral-derivative (PID) controller and its design, analysis and synthesis.... It seems that these results are timely and in line with the resurgence of interest in the PID controller and the general rekindling of interest in fixed- and low-order controller design. As is known, there are hardly any results in modern and postmodern control theory in this regard, while such controllers are the ones of choice in applications.... It is hoped that the monograph will act as a catalyst to bridge the gap between theory and practice and also the gap between classical and modern control theory." -Mathematical Reviews