PID Controllers for Time-Delay Systems

- Preface
- Introduction
- The Hermite-Biehler Theorem and Its Generalization
- PI Stabilization of Delay-Free Linear Time-Invariant Systems
- PID Stabilization of Delay-Free Linear Time-Invariant Systems
- Preliminary Results for Analyzing Systems with Time Delay
- Stabilization of Time-Delay Systems Using a Constant Gain Feedback Controller
- PI Stabilization of First-Order Systems with Time Delay
- PID Stabilization of First-Order Systems with Time Delay
- Control System Design Using the PID Controller
- Analysis of Some PID Tuning Techniques
- PID Stabilization of Arbitrary Linear Time-Invariant Systems with Time Delay
- Algorithms for Real and Complex PID Stabilization
- A Proof of Lemmas 8.3, 8.4, and 8.5
- B Proof of Lemmas 8.7 and 8.9
- C Detailed Analysis of Example 11.4
- References
- Index.

"Those who have followed the area closely will notice that the authors of PID Controllers for Time-Delay Systems have taken a path quite different from other researchers. In particular, the authors have concentrated on characterizing the complete set of PID controls that stabilize a system. This approach gives the old topic a rather modern flavor. The significance of this line of research is obvious.... 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