Robust adaptive dynamic mode decomposition for modeling, prediction, and control of high dimensional physical systems

A controller for controlling an operation of a system, comprising:

• an input interface configured to receive a state trajectory of the system via a network;
• a memory configured to store a model of dynamics of the system including a combination of at least one dynamical mode decomposition-based data-driven model and a robust closure model;
• a processor configured to:
• update the robust closure model using an optimization algorithm having a value function reducing a difference between a shape of the received state trajectory and a shape of state trajectory estimated using the model with the updated robust closure model;
• determine a control command based on the data-driven model with the updated robust closure model;
• and
• an output interface configured to transmit the control command to an actuator of the system to control the operation of the system.