IEEE
ICMA 2007 Conference
Plenary Talk 2
Optimization
and Control of Mechatronic Systems
Mario
A. Rotea, Ph.D.
Professor and Department Head
Mechanical and Industrial Engineering
University of Massachusetts - Amherst
160 Governors Drive, Amherst, MA 01003, USA
Tel: 413-545-4052, Fax: 413-545-1027
E-mail
rotea@ecs.umass.edu
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Abstract:
This plenary talk gives an overview of our research in optimization and control
of mechatronic systems. In the first part of the talk, a convex program known
as semidefinite program (SDP) will be presented. An SDP is an optimization
problem with a linear objective function, and constraints on the eigenvalues of
a linear matrix-valued function of the optimization variables. Key practical
features of the SDP will be reviewed using mathematical language common to most
control and automation engineers. The value of utilizing semidefinite
programming in several important engineering problems will be discussed. In
particular, it will be shown how SDP has facilitated advancements in the
following areas: the design of estimation and control algorithms with fixed
point arithmetic, the design of control laws with multiple specifications, the
analysis of vibrations in turbomachinery components, and the design of state
estimation algorithms with probability constraints on the state trajectories.
In the second part of this talk, a (virtually) model-free optimization
algorithm for control known as extremum seeking control (ESC) will be
described. The ESC is based on the gradient method of nonlinear programming.
The effectiveness of ESC to identify and track operating points of maximum
performance of complex nonlinear mechatronic systems will be illustrated using
a thermoacoustic cooling process. This talk will conclude with a personal
perspective of growth opportunities for higher education in mechatronics and
automation, which was developed essentially during my recent tenure as Program
Director for Control Systems at the National Science Foundation.
Mario
A. Rotea
received his degree of Electronic Engineer from the National University of
Rosario, Argentina, in 1983. He received his M.S.E.E. (1988) and Ph.D.
(1990) in Control Science and Dynamical Systems, from the University of
Minnesota. In April 2007, Dr. Rotea joined the University of
Massachusetts, Amherst, as Professor and Department Head of Mechanical and
Industrial Engineering. He is also Adjunct Professor of Electrical and
Computer Engineering at UMass. He came to UMass after sixteen years with
Purdue
University as Professor of Aeronautics and Astronautics and Mechanical
Engineering (by courtesy). Dr. Rotea was a Senior Research Engineer (1997-98)
at the United Technologies Research Center. He was also the Director of the
Control Systems Program (2005-2007) in the Division of Civil, Mechanical and
Manufacturing Innovation at the National Science Foundation.
Dr.
Rotea乫s research lies in the optimization and control of dynamical systems,
with broad applicability to complex engineered systems. He has made fundamental
contributions in optimal and robust estimation and control. Dr. Rotea has also
been active in the development and transition of advanced methods for control
systems analysis and design in industry, with applications that include flutter
control and vibration analysis in gas turbine engines, noise and vibration
control in helicopters, and chatter suppression in machine tools. His current
interests include health management strategies for engineered systems and
improved algorithms for model predictive control.
Dr.
Rotea乫s contributions have been documented in more than one hundred archival
and conference publications, and several reports to industry and government
agencies. He is also the co-author of computer codes to predict the effect of
manufacturing variations, wear, and aging in mechanical turbomachinery
components. He is a recipient of the NSF Young Investigator Award (1993), and
the C.T. Sun School of Aeronautics and Astronautics Excellence in Research
Award (2006). Dr. Rotea is a Fellow of the IEEE for contributions to robust and
optimal control of multivariable systems.
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. Dr. Rotea is also a member of the Board of
Governors of the IEEE Control Systems Society.
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