Keynote Speech:

Recent Advances on Computational Methods for Active Vibration Control and Model Updating in Vibrating Structures : Linking Control to Industry

Prof. Biswa N. Datta
Academician of Academy of Nonlinear Sciences
Distinguished Research Professor
Northern Illinois University
DeKalb, Illinois 60015
USA
E-mail : dattab@math.niu.edu
URL : www.math.niu.edu/~dattab

Abstract: The use of active feedback control strategy is a natural way to stabilize and control dangerous vibrations in, such as bridges, highways, buildings, and space and air crafts. These structures are distributed-parameter systems. However, because of practical considerations such a system is very often discretized into a system of matrix second-order differential equations using finite-element techniques; control is then designed and implemented on this discretized system and, finally applied to a real-life structure.
Unfortunately, the existing vibrations control techniques, even for these simplified models, are fraught with numerical difficulties and engineering limitations.
The vibration industries have approached vibration control problems in an ad hoc way and many of the difficulties of today's industrial base in many countries stem from competing with high-tech companies in Japan and Europe who tend to take a more serious, mathematical approach to engineering problems.
In the last few years, the speaker and his collaborators have developed a practical computational approach for feedback control in finite element structures.
The distinctive features of this approach are (i) control can be designed directly on finite model without requiring transformation to a standard first-order state-space form, (ii) the algorithms require knowledge of only a small number of eigenvalues and eigenvectors of the associated quadratic matrix pencil, and (iii) above all, no a priori reduction of the order of the model or controller is required, no matter how large the problem is.
This approach has also been successful applied to another related industrial problem, namely, the finite-element model updating problem. The minimal computational and engineering requirements of this new approach make it readily applicable to feedback control design and model updating in even very large practical-life structures.
In this talk, these recent advances will be reviewed and a brief discussion will be presented on future directions of research in this area.

Brief Biography of the Speaker:
Professor Datta is currently a Distinguished Research Professor at Northern Illinois University. He is a Professor of Mathematical Sciences and an Adjunct Professor of Electrical and Mechanical Engineering at this University. Professor Datta also held visiting professorship at University of Illinois at Urbana-Champaign, Pennsylvania State University, University of California at San Diego, as well as at many other universities and research laboratories around the world, including the the Boeing Company. He also held short term Distinguished Visiting Professorship at several universities around the world in countries, including, Australia, Brazil, Chile, China, England, Greece, Germany, Hong Kong, India, Japan, Mongolia, New Zealand, Portugal, Singapore, Venezuela.
His research interests are interdisciplinary, blending linear and numerical linear algebra with control and systems theory and vibration and structural engineering. He was elected to a Fellow of IEEE in 2000 for his interdisciplinary contributions, blending linear algebra with control and systems theory. He was elected as an \Academician" by the Academy of Nonlinear Sciences in 2002 for his outstanding contributions to stability and inertia theory. He is an IEEE Distinguished Lecturer and was awarded IEEE Plaques of Honor by the IEEE Chapter of Indian Institute of Technology, Kharagpur, India in 2005, 2006 and byIEEE Chapter of Northern Illinois University in 2005. Among the other prestigious awards and honors received by Professor Datta are (i) International Federation of Nonlinear Analysis (IFNA) Award in 2001 for outstanding contributions to mathematics, and (ii) the Senior Fulbright Specialist Award, by Fulbright Foreign Scholarship Board (FSB) and the Council for International Exchange of Scholars (CIES) in 2005. This award is given in US-wide competition and recognizes qualities of excellence and leadership. In 2007, Professor Datta was honored in a special award ceremony organized by IEEE On the occasion of the International Workshop on Numerical Linear Algebra in Signals, Systems, and Control held at the Indian Institute of Technology, Kharagpur, India, January 9-11, 2007. A Plaque of honor was awarded to him at this ceremony in recognition of his Outstanding Contributions to Numerical Linear Algebra Related to Control..
Professor Datta's research has been supported by Federal Funding agencies in USA and several industries including the Boeing Company and Wolfram Research Incorporation, and several other international granting agencies in foreign countries, such as Australia, Brazil, Chile, Hong Kong, India, Japan, Taiwan, Spain, and Portugal.
Professor Datta is the author of more than one hundred interdisciplinary papers and two books entitled Numerical Linear Algebra and Applications, published in 1995, and Numerical Methods for Linear Control Systems Design and Analysis, published in 2004. He has served in the past or is presently serving on the editorial board of premier journals such as SIAM J. Matrix Analysis and Applications, Linear Algebra and its Applications (special editor), Numerical Linear Algebra with Applications, the Journal of Mathematical Systems, Estimation, and Control, Journal of Computational Methods in Applied Mathematics, Journal of Applied and Computational Mathematics, Mechanical Systems and Signal Processing, etc. . He is the Founding Editor and the Editor-in-Chief of the annual series : Applied and Computational Control, Signals, and Circuits. He has also edited four interdisciplinary books and several interdisciplinary special issues of some of the above journals. He is also the co-author of the control engineering software package, entitled "Control System Professional - Advanced Numerical Methods," Wolfram Research Inc.., 2003. He also authored a MATLAB-based scientific computing software package, entitled MATCOM, MATHWORKS, Inc., 1995.
He has delivered numerous invited talks at international conferences and colloquium talks at universities and research laboratories around the world, including several IEEE-sponsored workshops on State-of-the -Art Numerical Methods for Computer-Aided Control Systems Design and Analysis".
Professor Datta served as the vice-Chair of the SIAM Linear Algebra Activity Group, as the Chairman of the committee of the SIAM Prize for the Best Applied Linear Algebra Paper and a member of the Hans Schneider Prize Committee in Linear Algebra. Professor Datta served as a panelist for NSF, IEEE, and American Control Conference. He is also a member of Government of India appointed member of Overseas Panel of Advisors.
He also organized and chaired or co-chaired the AMS -IMS-SIAM Joint Summer Research Conference on Linear Algebra and Its Role in Systems Theory, 1984 ; the SIAM Conference on Linear Algebra in Signals, Systems, and Control, 1986, 1988, 1993, 2001; Mathematical Theory of Networks and Systems (MTNS), 1996, and numerous interdisciplinary invited special sessions on control, systems, and signal processing at several AMS, SIAM, IEEE, International Federation of Automatic Control, and MTNS conferences.