Inverted Decoupling Control for Multi-variable Non-square Systems with Time Delays

For multivariable non-square systems with time delays in industrial settings, we propose a two-degrees-of-freedom Smith predictive control method based on inverted decoupling theory. We designed a non-square decoupling matrix to achieve total decoupling, and set-point tracking and disturbance rejection controllers for decoupled single-loop systems, using the Dahlin control algorithm and internal model control method, respectively. We also use a maximum sensitivity index to analytically tune the parameters of the disturbance rejection controller. The simulation results show that the proposed method is not only simple and easy to implement but also demonstrates good performance with respect to set-point tracking, disturbance rejection, and robustness.