Robust Controller Design for a class of MIMO Distributed Parameter Systems

This paper considers the 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 seen 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. A numerical example is given. Copyright (c) 2025 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)