Dr. S.P. Bhattacharyya, a professor from the Department of Electrical and Computer Engineering at Texas A&M University, recently gave an invited four-day short course to students and faculty at the University of California, Berkeley.
In his course Bhattacharyya described recent results on PID control that describe a new approach to design. Specifically he described procedures developed 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.
In his course Bhattacharyya said 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.
Bhattacharyya is the Robert M. Kennedy Professor of Electrical Engineering at Texas A&M. He received the B.Tech. degree in electrical engineering from the Indian Institute of Technology, Bombay, and the M.S. and Ph.D. degrees in electrical engineering from Rice University. He is an IEEE Fellow, an IFAC Fellow and a member of the Brazilian Academy of Sciences. He has coauthored seven books, more than 100 journal publications and 250 conference publications in the field of Control Theory. He is also an accomplished concert artist and plays Indian classical music on the sarode internationally.
This talk was supported in part by the Mechanical Systems Control Laboratory at UC-Berkeley.