
A New Robust Controller Design Method for Distributed Parameter Systems
Abstract:
We consider robust stabilization of linear time-invariant multi-input-multi-output (MIMO) infinite-dimensional systems (with finitely many unstable poles) whose transfer functions are factorized in a special form. Important practical applications include finite-dimensional MIMO systems with time delays in the output channels. The controllers are designed from a tangential Nevanlinna-Pick interpolation or solutions of a particular Bezout equation. The controller structure can be viewed as an extension of Smith predictors for time-delay systems. Finite-dimensional approximations of the controller and its impact on the robust stability of the feedback system are also discussed. Applications to flexible structures, repetitive control, and MIMO systems with input (or output) delays are illustrated.
Biography:
Hitay Özbay is a Professor of Electrical and Electronics Engineering at Bilkent University, Ankara, Turkey. He received the B.Sc., M.Eng., and PhD degrees from Middle East Technical University (1985), McGill University (1987), and the 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 visiting professor positions at INRIA, France (2009-2010) and at the University of California, Davis (2024-2025). 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.