IAE based tuning of controller anti-windup schemes for first order plus dead-time system

The paper is focused on IAE based tuning the anti-windup feedback in a controller of a first order plus dead time model. The problem is addressed to two types of controllers, finite order PI and infinite order Internal Model Controller (IMC) with the delay compensation. For the PI a classical finite order feedback known as back-calculation method is utilized, whereas for the IMC, a novel functional feedback is proposed. For both the cases, the feedback setting is optimized with respect to minimizing the IAE criterion. The analysis is performed on a dimensionless form of the model so that the results are valid to a broad class of systems. For both PI and IMC, the `optimal' dynamics of the anti-windup loop is of first order with the time constant being close to the time constant of the plant model.