Assessment of computation methods for coalitional feedback controllers

This paper proposes a comparative assessment between gradient-based and LMI (Linear Matrix Inequality)-based computational methods for coalitional feedback controllers. The analysis is performed in the context of multi-agent networked systems with bidirectional communication links. In particular, we compare three methods based on gradient optimisation, which use different strategies to compute the feedback gain, with LMI-based methods typically employed to compute this type of controllers. The simulation results show that the proposed gradient-based methods can outperform the LMI-based methodology, but at the expense of higher computational cost.