Noise-adaptive extremum-seeking controller

An extremum-seeking controller comprising a processing circuit configured to:

• determine a plurality of values of a gradient that relates a control input provided as an input to a plant to a performance variable that characterizes a performance of the plant in response to the control input, the performance variable comprising a noise-free portion and an amount of noise;
• determine an adjusted gradient by scaling a first value of the gradient selected from the plurality of values relative to a second value of the gradient selected from the plurality of values, the adjusted gradient relating the noise-free portion of the performance variable to the control input;
• scale the adjusted gradient to dampen a convergence rate of the control input toward an optimum value as the gradient approaches zero;
• and
• operate equipment of the plant by using the adjusted gradient to modulate the control input provided as an input to the equipment of the plant.

A controller comprising a processing circuit configured to:

• determine a plurality of values of a correlation coefficient that relates a control input provided as an input to a plant to a performance variable that characterizes a performance of the plant in response to the control input, the performance variable comprising a noise-free portion and an amount of noise;
• determine an adjusted correlation coefficient by scaling a first value of the correlation coefficient selected from the plurality of values relative to a second value of the correlation coefficient selected from the plurality of values, the adjusted correlation coefficient relating the noise-free portion of the performance variable to the control input, wherein the first value of the correlation coefficient is a maximum value of the plurality of values of the correlation coefficient that decays over time;
• and
• operate equipment of the plant by using the adjusted correlation coefficient to modulate the control input provided as an input to the equipment of the plant.