ECE Seminar - A Conformal Mapping and Interpolation Approach to the Delay Margin Problem
Abstract: A new approach is proposed to study the delay margin for general unstable LTI systems. The proposed approach converts the delay margin to the robust stabilization for LTI systems involving a positive uncertain parameter. The conformal mapping and Nevanlinna-Pick interpolation are employed to develop a unified numerical procedure for computing upper and lower bounds on the delay margin, and for designing robustly stabilizing controllers, aimed at maximizing the stabilizability range of the delay parameter. The results show that the proposed new approach provides an effective solution method to tackle the delay margin and applies to general unstable linear systems of finite order.
Guoxiang Gu (F’10) received the Ph.D. degree in Electrical Engineering from University of Minnesota, Minneapolis, MN, USA, in 1988. From 1988 to 1990, he was with the Department of Electrical Engineering, Wright State University, Dayton, OH, USA, as a Visiting Assistant Professor. He has held visiting positions with Wright-Patterson Air Force Base, OH, USA, and with the Hong Kong University of Science and Technology, Hong Kong. Since 1990, he joined Louisiana State University (LSU), Baton Rouge, LA, USA, where he is currently a Professor of Electrical and Computer Engineering. He has authored two books, over 80 archive journal papers, and numerous book chapters and conference papers. His research interests include networked feedback control, system identification, and statistical signal processing. Dr. Gu served as an Associate Editor for IEEE Transactions on Automatic Control from January 1998 to December 2001 and from January 2018 to December 2021, SIAM Journal on Control and Optimization from 2006 to 2009, and Automatica from 2006 to 2012. He is currently the F. Hugh Coughlin/CLECO Distinguished Professor of Electrical Engineering at LSU.