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Chapter 2: Quadcopter Flight Dynamics            21


                             the elevator changes the pitch attitude in a normal aircraft. The quadcopter change in pitch
                             happens by altering the speed of both motors forward of the CG. Reducing the speed should
                             pitch the quadcopter forward, and it will proceed in a forward direction. However, it is not
                             simply a matter of changing motor speeds because the altitude at which the quadcopter is
                             operating should not change as a result of the pitch command. All the motor speeds must
                             change, both to maintain altitude and to effect a pitch rotation. The following set of equations
                             should help to clarify all of the quadcopter operations. Figure 2.10, which is a modified
                             version of Figure 2.3, shows all the motors with matching equation and rotation identifiers.

                                    MP1 = Motor speed for the left front motor
                                    MP2 = Motor speed for the right front motor
                                    MP3 = Motor speed for the left rear motor
                                    MP4 = Motor speed for the right rear motor
                                    T = Throttle setting

                                Straight up or down vertical flight:
                                                       MP1 = MP2 = MP3 = MP4 = T

                                Pitch change in a hover state:

                                    The motor speeds for MP1 and MP2 must be changed in order to pitch the
                                    quadcopter  about  the  lateral  axis.  However,  only  changing  these  two  motor
                                    speeds will upset the altitude that is established. Therefore, the flight-control
                                    board computes an offset speed that it subtracts from both forward motors, while
                                    it adds the same offset to both rear motors, thus allowing for a pitch change
                                    but not changing the overall throttle setting. This ensures that the quadcopter
                                    does not change altitude.



























                             Figure 2.10  Quadcopter diagram with motor identifiers.
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