INVITED SPEAKER

Linear Sytems: A Measurement Based Approach to Analysis, Synthesis and Design

Prof. Shankar P. Bhattacharyya
Texas A & M University, USA

Abstract

The majority of design methods in the Engineering Sciences are model based requiring as a first step the construction of a mathematical model from measurements made on the system. In this talk we describe some new results on the analysis and synthesis of Linear Systems
wherein system models are not required and design can be carried out for an unknown system based on a few measurements processed strategically.
For example it is shown that a single element, such as a resistor or damper to be added to an unknown system (circuit or mechanical system) to control the current or displacement at a given point can be determined from precisely three measurements. Similarly when two elements (such as two resistors) are to be designed, seven measurements suffice to determine the required values. These results are rigourously proved and generalized. They are illustrated with applications to linear DC and AC circuits, Mechanical, Hydraulic and Civil Engineering Structures. The results constitute a nice generalization of Thevenin's Theorem of Circuit Theory to arbitrary Linear Systems. Several potential areas of research related to this new approach are described.

Biography of the Invited Speaker

S.P.Bhattacharyya is the Robert M. Kennedy Professor of Electrical Engineering at Texas A & M University. His research interest lies in Control Systems and Control Engineering. He has coauthored 7 books and over 250 papers in this field and has made significant contributions to the solution of important control problems. He is an IEEE Fellow, an IFAC Fellow and a Foreign Member of the Brazilian Academy of Sciences.