Systems and methods for dynamical system state and parameter estimation

A method for testing a time-varying system, comprising:

• receiving, at a higher-frequency processing loop, one or more inputs and one or more outputs associated with the time-varying system, the one or more inputs and the one or more outputs comprising data obtained from one or more control system, sensor, and test system;
• generating, in real time and using the higher-frequency processing loop comprising a plurality of filters stored in the non-transitory memory and using the one or more inputs and the one or more outputs, a multi-dimensional hypersurface corresponding to a subset of the one or more inputs and the one or more outputs;
• generating, in real time and using a lower-frequency processing loop comprising one or more state-and-parameter estimators and the multi-dimensional hypersurface, a filtered system-parameters estimate and a filtered system-state estimate for the time-varying system, wherein the filtered system-parameters estimate and the filtered system-state estimate determine one or more physical parameters of the time-varying system;
• and
• transmitting a subset of the filtered system-parameters estimate and a subset of the filtered system-state estimate to the control system.

A non-transitory computer-readable medium having instructions stored thereon, that when executed by a processor causes the processor to perform operations, the operations comprising:

• receiving, at a higher-frequency processing loop, one or more inputs and one or more outputs associated with the time-varying system, the one or more inputs and the one or more outputs comprising data obtained from one or more control system, sensor, and test system;
• generating, in real time and using the higher-frequency processing loop comprising a plurality of filters stored in the non-transitory memory and using the one or more inputs and the one or more outputs, a multi-dimensional hypersurface corresponding to a subset of the one or more inputs and the one or more outputs;
• generating, in real time and using a lower-frequency processing loop comprising one or more state-and-parameter estimators and the multi-dimensional hypersurface, a filtered system-parameters estimate and a filtered system-state estimate for the time-varying system, wherein the filtered system-parameters estimate and the filtered system-state estimate determine one or more physical parameters of the time-varying system;
• and
• transmitting a subset of the filtered system-parameters estimate and a subset of the filtered system-state estimate to the control system.