[Jared Russell]

Here is the code that 254 (among others) used to linearize their Victors this year, for reference. 5th and 7th order polynomials are mixed together to provide the linearization.

Source: https://github.com/Team254/FRC-2011/...RobotState.cpp

double RobotState::victor_linearize(double goal_speed)
{
const double deadband_value = 0.082;
if (goal_speed > deadband_value)
goal_speed -= deadband_value;
else if (goal_speed < -deadband_value)
goal_speed += deadband_value;
else
goal_speed = 0.0;
goal_speed = goal_speed / (1.0 - deadband_value);

double goal_speed2 = goal_speed * goal_speed;
double goal_speed3 = goal_speed2 * goal_speed;
double goal_speed4 = goal_speed3 * goal_speed;
double goal_speed5 = goal_speed4 * goal_speed;
double goal_speed6 = goal_speed5 * goal_speed;
double goal_speed7 = goal_speed6 * goal_speed;

// Constants for the 5th order polynomial
double victor_fit_e1 = 0.437239;
double victor_fit_c1 = -1.56847;
double victor_fit_a1 = (- (125.0 * victor_fit_e1 + 125.0 * victor_fit_c1 - 116.0) / 125.0);
double answer_5th_order = (victor_fit_a1 * goal_speed5
+ victor_fit_c1 * goal_speed3
+ victor_fit_e1 * goal_speed);

// Constants for the 7th order polynomial
double victor_fit_c2 = -5.46889;
double victor_fit_e2 = 2.24214;
double victor_fit_g2 = -0.042375;
double victor_fit_a2 = (- (125.0 * (victor_fit_c2 + victor_fit_e2 + victor_fit_g2) - 116.0) / 125.0);
double answer_7th_order = (victor_fit_a2 * goal_speed7
+ victor_fit_c2 * goal_speed5
+ victor_fit_e2 * goal_speed3
+ victor_fit_g2 * goal_speed);


// Average the 5th and 7th order polynomials
double answer = 0.85 * 0.5 * (answer_7th_order + answer_5th_order)
+ .15 * goal_speed * (1.0 - deadband_value);

if (answer > 0.001)
answer += deadband_value;
else if (answer < -0.001)
answer -= deadband_value;

return answer;
}