The extension of decentralized integral controllability to non-square processes

This paper studies the problem of distributed integral controllability for non-square multiple-input-output (MIMO) processes, where the number of inputs is greater than the number of outputs. Distributed or decentralized integral controllability (DIC) is a property that allows the use of stable decentralized controllers combined with integral action to achieve offset-free control and independent tuning of any subset of the control loops. Previous research has focused on DIC for linear/nonlinear square processes and nonlinear multiple-input single-output (MISO) systems, but not for non-square MIMO processes. We extend the concept of DIC to non-square MIMO processes and derive sufficient and necessary conditions for distributed integral controllability, which is a generalization of DIC for square systems. We also present a simulation study to demonstrate the effectiveness of our method.