A system for modulating a current level of a power grid includes a perturbation module that injects a sinusoidal signal, at a cross-over frequency, to modulate a duty cycle to a power converter connected to the power grid; a current controller that monitors a reference current and a current at grid-side terminal of the power converter, the current controller further monitors a current of the power grid; and a parameter calculation module that calculates a plurality of gain values for the current controller based at least in part on a phase margin, a cross-over frequency, a current of an alternating current side of the power converter, and the duty cycle.

A process control system includes: a controller; at least one input and output module connected to the controller; and an allowable propagation delay value calculator in the controller, the allowable propagation delay value calculator being configured to calculate, based on the number of input and output modules connected to the controller, an allowable range for propagation delay time between the controller and the input and output module.

A self-configuring extremum-seeking controller includes a dither signal generator, a communications interface, a phase delay estimator, and a bandwidth estimator. The dither signal generator identifies a stored dither frequency, generates a dither signal having the stored dither frequency, and uses the dither signal to perturb a control input for a plant. The communications interface provides the perturbed control input to the plant and receives an output signal from the plant resulting from the perturbed control input. The phase delay estimator estimates a phase delay between the output signal and the dither signal. The bandwidth estimator estimates a bandwidth of the plant based on the estimated phase delay. The dither signal generator updates the stored dither frequency based on the estimated bandwidth.

A system for modulating a current level of a power grid includes a perturbation module that injects a sinusoidal signal, at a cross-over frequency, to modulate a duty cycle to a power converter connected to the power grid; a current controller that monitors a reference current and a current at grid-side terminal of the power converter, the current controller further monitors a current of the power grid; and a parameter calculation module that calculates a plurality of gain values for the current controller based at least in part on a phase margin, a cross-over frequency, a current of an alternating current side of the power converter, and the duty cycle.

Techniques for controlling a bottom hole assembly (BHA) include determining a first candidate BHA control signal; generating an input to a BHA control, the input comprising a perturbation signal superimposed on the first candidate BHA control signal; controlling the BHA using the input to the BHA control; determining a change in an objective value as a function of the perturbation signal, based on a received downhole sensor measurement; and generating, based on the change in the objective value, a second candidate BHA control signal.

A method determines the topology of a DERs system having a plurality of assets, where at least one of the assets is a controllable asset. The method injects a power signal at a given frequency from a controllable asset into the DERs system. The voltage at each of the plurality of assets is measured, and the magnitude of perturbation of the voltage at the given frequency is determined for each of the plurality of assets. The method then constructs the topology of the DERs system as a function of the differences of the magnitude of perturbations of each of the plurality of assets.

A method for operating a controller for closed-loop control of a controlled system may include importing a variable value which influences a frequency response of the controlled system, determining a transformation factor as a function of the imported variable value, and performing an adaptation of the controller to the modified frequency response of the controlled system using the determined transformation factor.