Robust Controller Design for Distributed Parameter Systems

February 14, 2025, Webb Hall 1100

Hitay Ozbay

Abstract

We review some old problems related to robust control of distributed parameter systems. The structure of the H¥-optimal controller is revisited for the mixed sensitivity minimization problem with rational weights; infinite-dimensional parts of the optimal controller are approximated—the effect of such approximations on robust stability and the performance level is discussed. For time delay systems, strongly stabilizing controllersare obtained from classical interpolation methods and a small gain approach. In the talk, we also demonstrate anew family of robust controllers for unstable DPS, and related open problems are discussed.

Speaker's Bio

Hitay Özbay is a Professor of Electrical and Electronics Engineering at Bilkent University, Ankara Turkey, and a Visiting Professor at the University of California, Davis. He received the B.Sc., M.Eng., and PhD degrees from Middle East Technical University (1985), McGill University (1987), and University of Minnesota (1989), respectively. His prior academic affiliations include the University of Rhode Island (1989-1990), and The Ohio State University (1991-2006) where he was a Professor of Electrical and Computer Engineering before joining Bilkent University. He also held a visiting position at INRIA, France (2009-2010). Professor Özbay was a member of the Board of Governors of the IEEE Control Systems Society (2017-2019) and a general assembly member of the European Control Association (EUCA), representing Turkey, 2013-2019. He served as Associate Editor for many journals, including IEEE Transactions on Automatic Control, SIAM Journal on Control and Optimization, and Automatica. He also served as Vice-Chair of IFAC Technical Committees on Networked Control Systems (2005-2011) and Linear Control Systems(2017-2023). He is a Fellow of IEEE.