The development of nonlinear control theory is driven by solving engineering problems involving strong nonlinearities (e.g., mechanical and information systems). Over the last 25 years a lot of progress has been made in nonlinear control design and applications. In this lecture, we will review some methods proposed in the recent literature. A special focus will be placed on the nonlinear small-gain methodology that we have proposed for nonlinear and interconnected feedback systems. We will show how this methodology can serve as a framework for unifying various existing results in nonlinear control design. In particular we will present a nonlinear extension of the popular PI controller.
Biography
Dr. Jiang received the B.Sc. degree in mathematics
from the University of Wuhan, Wuhan, China, in 1988, the M.Sc. degree
in statistics from the University of Paris (Orsay), Paris, France, in
1989, and the Ph.D. degree in automatic control and mathematics from
the Ecole des Mines de Paris, Paris, France, in 1993.
From 1993 to 1998, he held visiting researcher
positions in several institutions including INRIA (Sophia-Antipolis),
France, the Department of Systems Engineering in the Australian
National University, Canberra and the Department of Electrical
Engineering in the University of Sydney.
In 1998, he also visited several U.S. universities. In January 1999, he
joined the Polytechnic University at Brooklyn as an Assistant Professor
of Electrical Engineering, where he has been an Associate Professor
since 2002. His main research interests include stability theory,
nonlinear control theory and their applications to mechanical and
information systems. He is author of four book chapters, 76 journal
papers and numerous conference papers. More detailed information can be
found in the website http://ctrl.poly.edu/.
Dr. Jiang is a recipient of the NSF CAREER Award and the ARC Queen
Elizabeth II and Japan JSPS Invitation Fellowships. Currently, he
is a Editor for the International Journal of Robust and Nonlinear
Control, and an Associate Editor for Systems & Control Letters and
European Journal of Control. He served as an Associate Editor for the
IEEE Transactions on Automatic Control (2003-2005) and the IEEE CSS
Conference Editorial Board (2000-2002).