Stability boundary and optimal stable parameter identification in machining

A controller of a CNC machine, wherein operation of the CNC machine is monitored by a sensing device, the controller comprising:

• a utility-determination module receives a stability-probability map indicative of a respective probability of stability at each grid point of a process space of machining parameters, and determines a respective expected improvement in utility at each grid point based on risk tolerance and the corresponding probability of stability;
• a communications module communicatively coupled with the utility-determination module and the CNC machine, the communications module receives from the utility-determination module a set of machining parameters corresponding to a test grid point associated with an expected improvement in utility, and transmits to the CNC machine the set of machining parameters based on which operation of the CNC machine is to be updated;
• and
• a stability-detection module communicatively coupled with the sensing device, the stability-detection module receives from the sensing device process signals associated with the updated operation of the CNC machine, and determines whether the updated operation is stable or unstable;
• and
• a stability-probability module communicatively coupled with the stability-detection module and the utility-determination module, the stability-probability module receives from the stability-detection module the stability determination, recalculates the stability-probability map by accounting for the certainty of stability or instability at the test grid point, and
• provides the recalculated stability-probability map to the utility-determination module,
• wherein the utility-determination module, the communications module, the stability-detection module, and the stability-probability module iterate the above operations until a condition for stopping the iterations is met.