Most geometric control design methods for nonlinear systems assume that all state variables are available for feedback in real time. Unfortunately, the entire state is usually too expensive or impossible to measure, and some form of estimation is necessary. Unlike linear timeinvariant systems where the state estimation problem is analogous to the control design problem, the design of a stable observer is a significant and separate challenge for nonlinear systems.
Bibliographical noteFunding Information:
Rajesh Rajamani (email@example.com) obtained the M.S. and Ph.D. degrees from the University of California, Berkeley, in 1991 and 1993, respectively, and the B.Tech. degree from the Indian Institute of Technology, Madras, in 1989. He is currently a professor of mechanical engineering at the University of Minnesota. His active research interests include sensors and control systems for automotive and biomedical applications. He has coauthored more than 115 journal papers and is a coinventor on 12 patent applications. He is the author of the book Vehicle Dynamics and Control (Springer Verlag). He is a Fellow of the ASME, has served as chair of the IEEE Control Systems Society Technical Committee on Automotive Control and on the editorial boards of IEEE Transactions on Control Systems Technology and IEEE/ASME Transactions on Mechatronics. He has been a recipient of the CAREER award from the National Science Foundation, the 2001 Outstanding Paper award from IEEE Transactions on Control Systems Technology, the Ralph Teetor Award from the Society of Automotive Engineers, and the 2007 O. Hugo Schuck Award from the American Automatic Control Council. He can be contacted at the University of Minnesota, Department of Mechanical Engineering, 111 Church Street SE, Minneapolis, MN 55455 USA.
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