Pole-placement PFC (Predictive Functional Control) for systems with one oscillatory mode

PFC is known to be effective and simple for a large number of industrial scenarios. However, there are some cases where the default PFC algorithm is less effective and needs significant insight or modification. This paper proposes a modification to the conventional algorithm to improve the ease of tuning for systems with significant under-damped modes. The proposed approach is almost identical to the pole placement PFC for processes with real poles, but exploits complex number algebra and linear combinations in order to deliver guarantees of stability and performance. The potential advantages are demonstrated with numerical examples.