Method and control apparatus for operating a positive shift element of a transmission of a vehicle, transmission and vehicle

A method for operating an interlocking shifting element of a transmission of a vehicle, wherein the interlocking shifting element comprises shifting element halves configured to be moved relative to one another when opening and closing the interlocking shifting element, and wherein an electric actuator is configured and arranged to bring about the relative movement between the shifting element halves when opening or closing the interlocking shifting element, the method comprising:

• recognizing a tooth-on-tooth position in the interlocking shifting element;
• and
• determining, as a function of an electric current strength through the electric actuator, a target torque to be applied at a transmission input of the transmission sufficient to resolve the tooth-on-tooth position in the interlocking shifting element;
• wherein determining the target torque is performed according to the following equation:
• M
• SOLL
• =
• K
• M
• *
• I
• A
• r
• S
• *
• μ
• Z
• *
• r
• Z
• +
• M
• 0
• and wherein
• MSOLL is the target torque,
• IA is the electric current strength of the electric actuator,
• KM is a proportionality constant,
• rS is a radius of a spindle of the electric actuator,
• μZ is a coefficient of friction valid for the transmission,
• rZ is a friction radius of the transmission valid for the interlocking shifting element,
• M0 is a torque to be transmitted by the interlocking shifting element.