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A power tool including a motor, an input unit such as a variable-speed trigger switch, and a controller is provided. The controller controls the speed of the motor as a function of the input level indicated by the electrical signal from the input unit. The function is a first expression within a fir

A power tool including a motor, an input unit such as a variable-speed trigger switch, and a controller is provided. The controller controls the speed of the motor as a function of the input level indicated by the electrical signal from the input unit. The function is a first expression within a first predetermined range of the input level and a second expression within a second predetermined range of the input level, where the second expression corresponds to a polynomial of a second degree or higher and is different from the first expression.

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1. A power tool comprising: a motor;an input unit actuated by a user; anda control unit configured to receive a voltage signal from the input unit corresponding to a position of the input unit and control the speed of the motor as a function of the voltage signal from the input unit, the function be

1. A power tool comprising: a motor;an input unit actuated by a user; anda control unit configured to receive a voltage signal from the input unit corresponding to a position of the input unit and control the speed of the motor as a function of the voltage signal from the input unit, the function being a first expression within a first predetermined range of the input level and a second expression within a second predetermined range of the input level, wherein the second expression corresponds to a polynomial of a second degree or higher and is different from the first expression, and the second expression is offset by a predetermined voltage amount corresponding to a constant in the polynomial expression defining the position of the input unit at which the motor begins to rotate. 2. The power tool of claim 1, wherein the input unit comprises at least one of a variable-speed trigger, a speed dial, an optical sensor, a pressure sensor, a capacitor sensor, or a touch sensor. 3. The power tool of claim 2, wherein the input unit comprises a variable-speed trigger having a potentiometer and the control unit is configured to receive the voltage signal from the variable-speed trigger switch corresponding to the trigger switch position and to control the speed of the motor as a function of the received voltage. 4. The power tool of claim 1, wherein the control unit is configured to determine a range of the input level and calculate a pulse-width modulation (PWM) duty cycle using the first or the second expressions based on the determined range of the input level. 5. The power tool of claim 1, wherein the control unit is configured to calculate a pulse-width modulation (PWM) duty cycle using the second expression and adjust the PWM duty cycle using the first expression if the calculated PWM duty cycle corresponds to the first predetermined range of the input level. 6. The power tool of claim 1, wherein the function further corresponds to a third expression within a third predetermined range of the input level different from the first and the second predetermined ranges, the first and third expressions corresponding to constant or linear functions and the second expression corresponding to a non-linear function. 7. The power tool of claim 6, wherein the control unit is configured to set a pulse-width modulation (PWM) duty cycle to 0% if the calculated PWM duty cycle corresponds to the first predetermined range and to 100% if the PWM duty cycle corresponds to the third predetermined range. 8. The power tool of claim 1, wherein the predetermined voltage offset amount is optimized so that an input level v. motor power profile representing the first and second expressions is non-continuous between the first predetermined range of the input level and the second predetermined range of the input level. 9. The power tool of claim 1, wherein the predetermined voltage offset amount is optimized so that an input level v. motor voltage profile representing the first and second expressions is non-continuous between the first predetermined range of the input level and the second predetermined range of the input level. 10. A method of controlling speed of a motor within a power tool having an input unit, comprising: receiving a voltage signal from the input unit indicative of a position of the input unit; andcontrolling the speed of the motor as a function of the voltage signal, the function being a first expression within a first predetermined range of the input level and a second expression within a second predetermined range of the input level, wherein the second expression corresponds to a polynomial of a second degree or higher and is different from the first expression, and the second expression is offset by a predetermined voltage amount corresponding to a constant in the polynomial expression defining the position of the input unit at which the motor begins to rotate. 11. The method of claim 10, wherein the receiving step comprises receiving the signal from at least one of a variable-speed trigger, a speed dial, an optical sensor, a pressure sensor, a capacitor sensor, or a touch sensor. 12. The method of claim 11, wherein the input unit comprises a variable-speed trigger having a potentiometer, the receiving step comprises inputting the voltage signal from the variable-speed trigger switch corresponding to the trigger switch position and the controlling step comprises controlling the speed of the motor as a function of the received voltage. 13. The method of claim 10, wherein the controlling step comprises determining a range of the input level and calculating a pulse-width modulation (PWM) duty cycle using the first or the second expressions based on the determined range of the input level. 14. The method of claim 10, wherein the controlling step comprises calculating a pulse-width modulation (PWM) duty cycle using the second expression and adjusting the PWM duty cycle using the first expression if the calculated PWM duty cycle corresponds to the first predetermined range of the input level. 15. The method of claim 10, wherein the function further corresponds to a third expression within a third predetermined range of the input level different from the first and the second predetermined ranges, the first and third expressions corresponding to constant or linear functions and the second expression corresponding to a non-linear function. 16. The method of claim 15, wherein the controlling step further comprises setting a pulse-width modulation (PWM) duty cycle to 0% if the calculated PWM duty cycle corresponds to the first predetermined range and to 100% if the PWM duty cycle corresponds to the third predetermined range.