• Sept 11, 2017
  • 4:00 p.m.
  • 117A Surge Building
  • Dr. Zongli Lin, Electrical and Computer Eng. UVA
  • Faculty Host: Dr. Kyriakos G. Vamvoudakis

Truncated Predictor Feedback for Systems with Input Delays:

An Application of Low Gain Feedback

Zongli Lin

Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA 22904-4743, USA

Abstract: The predictor feedback, since its initial introduction by Otto J. M. Smith in 1959, has been well developed and proven to be effective in solving various control problems for linear systems in the presence of time delay in the input. The predictor feedback, as its name suggests, is a linear feedback of the future state as predicted based on the solution of the resulting closed-loop system. Although a predictor feedback law leads to a finite dimensional closed-loop system, the feedback law itself is infinite dimensional with a distributed term and is this difficult to implement. In a 2007 IEEE Transactions on Automatic Control paper, we showed that, when open loop system is stabilizable with all its poles in the closed left-half plane, the feedback gain in the predictor feedback law can be designed as a parameterized feedback gain matrix by the low gain design feedback technique and the distributed term in the predictor feedback law can be safely discarded. The resulting feedback law is referred to as “truncated predictor feedback” law in the later literature. In this talk, we review some key properties of low gain feedback and show how they led to the development of the truncated predictor feedback design.

Zongli Lin is the Ferman W. Perry Professor in the School of Engineering and Applied Science and a Professor of Electrical and Computer Engineering at University of Virginia. He received his B.S. degree in mathematics and computer science from Xiamen University, Xiamen, China, in 1983, his Master of Engineering degree in automatic control from Chinese Academy of Space Technology, Beijing, China, in 1989, and his Ph.D. degree in electrical and computer engineering from Washington State University, Pullman, Washington, in 1994. His current research interests include nonlinear control, robust control, and control applications. He was an Associate Editor of the IEEE Transactions on Automatic Control (2001-2003), IEEE/ASME Transactions on Mechatronics(2006-2009) and IEEE Control Systems Magazine (2005-2012). He was an elected member of the Board of Governors of the IEEE Control Systems Society (2008-2010) and chaired the IEEE Control Systems Society Technical Committee on Nonlinear Systems and Control (2013-2015). He has served on the operating committees several conferences and will be the program chair of the 2018 American Control Conference. He currently serves on the editorial boards of several journals and book series, including Automatica, Systems & Control Letters, Science China Information Sciences, and Springer/Birkhauser book series Control Engineering. He is a Fellow of the IEEE, a Fellow of the IFAC, and a Fellow of AAAS, the American Association for the Advancement of Science.