A method for making a bandmill cut through a workpiece, said bandmill having a sawblade, a top sawguide and a bottom sawguide, each sawguide having a front face (5a, 6a) enabled to contact and pre-strain the sawblade for making a cut through a workpiece, a motion controller and a drive mechanism for controlling workpiece feedspeed; wherein said method is characterized by: (a) providing an anti-deviation feedback loop controller to an operator of a bandmill, said anti-deviation feedback loop controller comprising: i) a force sensor operatively coupled to a second face of said bottom sawguide, wherein said force sensor is enabled to sense a force associated with an incipient lateral deflection of said sawblade toward or away from said front face of said bottom sawguide during an exit from a saw cut and to generate an electrical signal indicative of a magnitude and a direction of said incipient lateral deflection from a true cut line; ii) an anti-deviation control system configured to receive said electrical signal from said force sensor, and to determine a feedspeed adjustment output therefrom; iii) a motion drive mechanism enabled to receive said feedspeed adjustment output from said anti-deviation control system and drive a workpiece feedspeed in response thereto; (b) pre-stressing said blade by laterally displacing said bottom sawguide against a lateral surface of said blade; and, (c) while cutting a workpiece, monitoring said electrical signal and operating said motion drive mechanism under control of said anti-deviation control system so as to counter any lateral deflection of said blade from a true cut line, thereby operating an anti-deviation feedback control loop. (a) providing an anti-deviation feedback loop controller to an operator of a bandmill, said anti-deviation feedback loop controller comprising: i) a force sensor operatively coupled to a second face of said bottom sawguide, wherein said force sensor is enabled to sense a force associated with an incipient lateral deflection of said sawblade toward or away from said front face of said bottom sawguide during an exit from a saw cut and to generate an electrical signal indicative of a magnitude and a direction of said incipient lateral deflection from a true cut line; ii) an anti-deviation control system configured to receive said electrical signal from said force sensor, and to determine a feedspeed adjustment output therefrom; iii) a motion drive mechanism enabled to receive said feedspeed adjustment output from said anti-deviation control system and drive a workpiece feedspeed in response thereto; i) a force sensor operatively coupled to a second face of said bottom sawguide, wherein said force sensor is enabled to sense a force associated with an incipient lateral deflection of said sawblade toward or away from said front face of said bottom sawguide during an exit from a saw cut and to generate an electrical signal indicative of a magnitude and a direction of said incipient lateral deflection from a true cut line; ii) an anti-deviation control system configured to receive said electrical signal from said force sensor, and to determine a feedspeed adjustment output therefrom; iii) a motion drive mechanism enabled to receive said feedspeed adjustment output from said anti-deviation control system and drive a workpiece feedspeed in response thereto; (b) pre-stressing said blade by laterally displacing said bottom sawguide against a lateral surface of said blade; and, (c) while cutting a workpiece, monitoring said electrical signal and operating said motion drive mechanism under control of said anti-deviation control system so as to counter any lateral deflection of said blade from a true cut line, thereby operating an anti-deviation feedback control loop.