Extended Predictive Control of Interconnected Oscillators

This study shows how to combine the concepts of extended dynamic mode decomposition and model predictive control in a decentralized approach to drive interconnected oscillators. To achieve this goal, the predictive power of the decomposition algorithm is used to make an approximation of the state of the system, but also to predict the behavior of the interconnection input that affects a particular subsystem. As the prediction of the extended system captures the dynamics linearly, this approach is suitable for the design of local model predictive controllers such that each subsystem can be driven to a desired state despite not having complete knowledge of the other subsystems.