L2 optimal decentralised static output feedback stabilisation of a network of dynamical systems

In this paper global L₂ stabilisation of a network of dynamical systems is attained. Local decentralised static output feedback control is employed. The proposed synthesis procedure guarantees an upper bound on the achievable L₂ performance in the presence of disturbances. The conditions for the existence of such a controller are posed as an iterative LMI optimisation problem. A randomly generated academic example with 12 nodes is considered to demonstrate the efficacy of the proposed methodology.