Optimization and Control of Dynamical Systems
Professor Mario Rotea
Purdue
University
West
Lafayette, IN
This talk gives an
overview of our research in optimization and control of dynamical systems, and
its application to various engineered systems. In the first part, a convex program
known as semidefinite program (SDP) will be presented. An SDP has a linear objective
function with constraints on the eigenvalues of a linear matrix-valued function
of the optimization variables. I will explain the benefits of applying
semidefinite programming in vibration analysis in turbomachinery and state
estimation under modeling uncertainty. In the second part, I will describe our
work on extremum seeking control (ESC), which is a model-free control algorithm
based on the gradient method of nonlinear programming. The effectiveness of ESC
to identify and track operating points of maximum performance of complex
nonlinear systems will be illustrated using a thermoacoustic cooling process.
The talk will conclude with highlights of the Control Systems Program at the
NSF.
Mario Rotea is a
Professor of Aeronautics and Astronautics at Purdue University and the Director
of the Control Systems Program at the National Science Foundation. He joined
the Purdue engineering faculty after receiving his M.S.E.E. (1988) and Ph.D.
(1990) in Control Science and Dynamical Systems, from the University of Minnesota.
Dr. Rotea also received an Electronic Engineer degree (1983) from the National
University of Rosario, Argentina. Dr. Rotea was a Senior Research Engineer
(1997-98) at the United Technologies Research Center (UTRC) in East Hartford,
CT. His research lies in optimization and control of dynamical systems and its
application to engineered systems. He is a past recipient of the NSF Young Investigator Award. In 2006, Dr. Rotea
received the C.T. Sun School of Aeronautics and Astronautics Excellence in Research
Award.
Dr. Rotea has been
on the Editorial Board of the IEEE Transactions on Automatic Control and the Conference
Editorial Board of the IEEE Control Systems Society. He has served as member
and chair of the D.P. Eckman Award Committee of the American Automatic Control
Council. He has served in the Program Committee of the American Control
Conference. In 2005, he became the Program Director for Control Systems in the
Division of Civil and Mechanical Systems at the National Science Foundation.
His program enables fundamental research and education in the prediction and
control of complex systems, with broad applicability to civil and mechanical
systems. He is an elected member of the Board of Governors of the IEEE Control
Systems Society.
Friday, October 20, 2006
3:30 – 4:30 p.m.
Rm. 1500 EECS