Resilient static output feedback power system stabiliser using PSO-LMI optimisation

In this paper, two new power system stabiliser (PSS) designs are proposed. The first one is based on a combined particle swarm optimisation (PSO) with linear matrix inequality (LMI) optimisation thereby improving previous existing results. The property of PSO of not sticking into a local minimum is used to eliminate the conservativeness of the design result utilising the static output feedback (SOF) stabiliser within an iterative solution of LMIs. The proposed design provides robustness against uncertainties wherein power systems operations are changing continuously due to load changes. In addition to load variations, the second controller is based on a derived sufficient condition using PSO-LMIs optimisation in order to obtain a resilient PSS that takes into consideration controller’s parameters uncertainty as well. The effectiveness of the algorithm is shown for a single machine infinite bus power system.