PID Controllers for Time-Delay Systems (eBook)

Shankar P. Bhattacharyya, Aniruddha Datta, Guillermo J. Silva (Autoren)

eBook Download: PDF

2007 | 2005
XIV, 330 Seiten
Birkhauser Boston (Verlag)
978-0-8176-4423-9 (ISBN)

Infos

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. Emphasis is placed on the efficient computation of the entire set of PID controllers achieving stability and various performance specifications, which is important for the development of future software design packages, as well as further capabilities such as adaptive PID design and online implementation.

 

The results presented here are timely given the resurgence of interest 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.

---

This monograph presents our recent results on the proportional-integr- derivative (PID) controller and its design, analysis, and synthesis. The fo- cus is on linear time-invariant plants that may contain a time delay in the feedback loop. This setting captures many real-world practical and in- dustrial situations. The results given here include and complement those published in Structure and Synthesis of PID Controllers by Datta, Ho, and Bhattacharyya [10]. In [10] we mainly dealt with the delay-free case. The main contribution described here is the efficient computation of the entire set of PID controllers achieving stability and various performance specifications. The performance specifications that can be handled within our machinery are classical ones such as gain and phase margin as well as modern ones such as Hoo norms of closed-loop transfer functions. Finding the entire set is the key enabling step to realistic design with several design criteria. The computation is efficient because it reduces most often to lin- ear programming with a sweeping parameter, which is typically the propor- tional gain. This is achieved by developing some preliminary results on root counting, which generalize the classical Hermite-Biehler Theorem, and also by exploiting some fundamental results of Pontryagin on quasi-polynomials to extract useful information for controller synthesis. The efficiency is im- portant for developing software design packages, which we are sure will be forthcoming in the near future, as well as the development of further capabilities such as adaptive PID design and online implementation.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 22.12.2007
• Reihe/Serie: Control Engineering
• Zusatzinfo: XIV, 330 p.
• Verlagsort: Boston
• Sprache: englisch
• Themenwelt: Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften ► Chemie
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: Aerospace Engineering • Control • control engineering • control system • Control Theory • Engineering Economics • Feedback • PID Control • Software • stability • Stabilization
• ISBN-10: 0-8176-4423-7 / 0817644237
• ISBN-13: 978-0-8176-4423-9 / 9780817644239