A Short Course on Modern PID Control
By Prof. Shankar P. Bhattacharyya
Abstract
In this course we describe recent results on PID control that describe a new approach to design. Specifically we develop procedures to compute the complete stabilizing set. This is based on fundamental new results on root counting based on the Hermite-Bieler Theorem and its generalization. The computational algorithm that results is a linear programming problem with a nesting parameter. The stabilizing sets are shown to have certain convexity properties in specific directions. This computation opens up the possibility of carrying out design to satisfy multiple specifications. The results are applicable to continuous time systems with and without delays, and to discrete time systems. In addition it is shown that they also allow design for a plant described by frequency response measurements without first developing an identified model.
Lecture Slides
- PID Controllers: An Overview of Classical Theory
- PID Controllers for Delay-Free LTI Systems
- PID Controllers for Systems with Time-Delay
- Digital PID Controller Design
- First Order Controllers for LTI Systems
- Data Based Design of 3 Term Controllers
Bio
S.P. Bhattacharyya is the Robert M. Kennedy Professor of Electrical Engineering at Texas A & M University. He received the B.Tech degree in Electrical Engineering from IIT, Bombay in 1967, and the MS and PhD degrees in Electrical Engineering from Rice University, Houston, Texas in 1969 and 1971 respectively. He is an IEEE Fellow, an IFAC Fellow and a member of the Brazilian Academy of Sciences. He has coauthored 7 books, over 100 journal publications and 250 conference publications in the field of Control Theory. He is also an accomplised concert artist and plays Indian Classical Music on the Sarode internationally.
March 2013