Springer Analytical Design of PID Controllers

This monograph presents a new analytical approach to the design of proportional-integral-derivative (PID) controllers for linear time-invariant plants. The authors develop a computer-aided procedure, to synthesize PID controllers that satisfy multiple design specifications. A geometric approach, which can be used to determine such designs methodically using 2- and 3-D computer graphics is the result. The text expands on the computation of the complete stabilizing set previously developed by the authors and presented here. This set is then systematically exploited to achieve multiple design specifications simultaneously. These specifications include classical gain and phase margins, time-delay tolerance, settling time and H-infinity norm bounds. The results are developed for continuous- and discrete-time systems. An extension to multivariable systems is also included. Analytical Design of PID Controllers provides a novel method of designing PID controllers, which makes it ideal for both researchers and professionals working in traditional industries as well as those connected with unmanned aerial vehicles, driverless cars and autonomous robots.  Review “The techniques covered in this book form a substantial contribution to the field of control, and this book is recommended for students and practitioners of control theory.” (Lee H. Keel, IEEE Control Systems Magazine, Vol. 41 (1), February, 2021) From the Back Cover This monograph presents a new analytical approach to the design of proportional-integral-derivative (PID) controllers for linear time-invariant plants. The authors develop a computer-aided procedure, to synthesize PID controllers that satisfy multiple design specifications. A geometric approach, which can be used to determine such designs methodically using 2- and 3-D computer graphics is the result. The text expands on the computation of the complete stabilizing set previously developed by the authors and presented here. This set is then systematically exploited to achieve multiple design specifications simultaneously. These specifications include classical gain and phase margins, time-delay tolerance, settling time and H-infinity norm bounds. The results are developed for continuous- and discrete-time systems. An extension to multivariable systems is also included. Analytical Design of PID Controllers provides a novel method of designing PID controllers, which makes it ideal for both researchers and professionals working in traditional industries as well as those connected with unmanned aerial vehicles, driverless cars and autonomous robots.  About the Author Iván D. Díaz-Rodríguez received a B.S. and M.S. Degrees in Electronic Engineering from Universidad Autónoma de Tamaulipas, Reynosa, Tamaulipas, México, in 2005 and 2009 respectively, and a Ph.D. degree in Electrical Engineering from Texas A&M University, College Station, Texas, USA in 2017. At present, he is an Instructional Assistant Professor at Texas A&M University, McAllen Higher Education Center, McAllen, Texas, USA. His research interests include linear systems, classical controller design based on desired performance, multivariable controller design, robust control, controller design based on frequency response, and controller design with applications to the renewable energy field. Sangjin Han received his M.S. degree in Electrical and Computer Engineering from University of Maryland in 2014 and Ph.D. degree in Electrical and Computer Engineering from Texas A & M University in 2019. His research interests include linear control theory. Shankar P. Bhattacharyya is the Robert M. Kennedy Professor of Electrical Engineering at Texas A & M University. He was born in 1946 in Yangon, Myanmar and educated at IIT Bombay and Rice University. His contributions to Control Theory span 50 years and include the geometric solution of the servomechanism problem, an algorithm for eigenvalue assi