Method and system to perform energy-extraction based active noise control

A method for extracting acoustic energy and structural energy in an acoustic enclosure using a plurality of actuators comprising the steps of:

• obtaining a continuous-time multi-input multi-output state-space mathematical model of the acoustic enclosure;
• designing compensation to render the mathematical model passive in accordance with mathematical system theory if the mathematical model is not passive, thereby forming a compensated system that is passive;
• checking passivity of the compensated system;
• designing a passivity-based controller that extracts at least one of acoustic energy or structural energy such that a resulting closed-loop response provides a desired noise reduction;
• wherein the step of designing compensation comprises the step of performing sensor blending if there are redundant sensors;
• and
• extracting acoustic and structural energy from the acoustic enclosure using the actuators by controlling the actuators with the passivity-based controller.

A method for extracting acoustic energy and structural energy in an acoustic enclosure using a plurality of actuators comprising the steps of:

• obtaining a continuous-time multi-input multi-output state-space mathematical model of the acoustic enclosure;
• designing compensation to render the mathematical model passive in accordance with mathematical system theory if the mathematical model is not passive, thereby forming a compensated system that is passive;
• checking passivity of the compensated system;
• designing a passivity-based controller that extracts at least one of acoustic energy or structural energy such that a resulting closed-loop response provides a desired noise reduction;
• wherein the step of designing compensation comprises the step of performing control allocation if there are redundant actuators;
• and
• extracting acoustic and structural energy from the acoustic enclosure using the actuators by controlling the actuators with the passivity-based controller.

A method for extracting acoustic energy and structural energy in an acoustic enclosure using a plurality of actuators comprising the steps of:

• obtaining a continuous-time multi-input multi-output state-space mathematical model of the acoustic enclosure;
• designing compensation to render the mathematical model passive in accordance with mathematical system theory if the mathematical model is not passive, thereby forming a compensated system that is passive;
• checking passivity of the compensated system;
• designing a passivity-based controller that extracts at least one of acoustic energy or structural energy such that a resulting closed-loop response provides a desired noise reduction;
• wherein the step of designing compensation comprises the steps of:
• designing a constant gain feedforward compensation to render the compensated system minimum phase;
• rendering the compensated system positive-real by one of sensor-blending and control allocation;
• and
• extracting acoustic and structural energy from the acoustic enclosure using the actuators by controlling the actuators with the passivity-based controller.