/* This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see . */ /* very simple plane simulator class. Not aerodynamically accurate, just enough to be able to debug control logic for new frame types */ #include "SIM_Plane.h" #include using namespace SITL; Plane::Plane(const char *frame_str) : Aircraft(frame_str) { mass = 2.0f; /* scaling from motor power to Newtons. Allows the plane to hold vertically against gravity when the motor is at hover_throttle */ thrust_scale = (mass * GRAVITY_MSS) / hover_throttle; frame_height = 0.1f; ground_behavior = GROUND_BEHAVIOR_FWD_ONLY; if (strstr(frame_str, "-heavy")) { mass = 8; } if (strstr(frame_str, "-jet")) { // a 22kg "jet", level top speed is 102m/s mass = 22; thrust_scale = (mass * GRAVITY_MSS) / hover_throttle; } if (strstr(frame_str, "-revthrust")) { reverse_thrust = true; } if (strstr(frame_str, "-elevon")) { elevons = true; } else if (strstr(frame_str, "-vtail")) { vtail = true; } else if (strstr(frame_str, "-dspoilers")) { dspoilers = true; } if (strstr(frame_str, "-elevrev")) { reverse_elevator_rudder = true; } if (strstr(frame_str, "-catapult")) { have_launcher = true; launch_accel = 15; launch_time = 2; } if (strstr(frame_str, "-bungee")) { have_launcher = true; launch_accel = 7; launch_time = 4; } if (strstr(frame_str, "-throw")) { have_launcher = true; launch_accel = 10; launch_time = 1; } if (strstr(frame_str, "-tailsitter")) { tailsitter = true; ground_behavior = GROUND_BEHAVIOR_TAILSITTER; thrust_scale *= 1.5; } if (strstr(frame_str, "-ice")) { ice_engine = true; } } /* the following functions are from last_letter https://github.com/Georacer/last_letter/blob/master/last_letter/src/aerodynamicsLib.cpp many thanks to Georacer! */ float Plane::liftCoeff(float alpha) const { const float alpha0 = coefficient.alpha_stall; const float M = coefficient.mcoeff; const float c_lift_0 = coefficient.c_lift_0; const float c_lift_a0 = coefficient.c_lift_a; // clamp the value of alpha to avoid exp(90) in calculation of sigmoid const float max_alpha_delta = 0.8f; if (alpha-alpha0 > max_alpha_delta) { alpha = alpha0 + max_alpha_delta; } else if (alpha0-alpha > max_alpha_delta) { alpha = alpha0 - max_alpha_delta; } double sigmoid = ( 1+exp(-M*(alpha-alpha0))+exp(M*(alpha+alpha0)) ) / (1+exp(-M*(alpha-alpha0))) / (1+exp(M*(alpha+alpha0))); double linear = (1.0-sigmoid) * (c_lift_0 + c_lift_a0*alpha); //Lift at small AoA double flatPlate = sigmoid*(2*copysign(1,alpha)*pow(sin(alpha),2)*cos(alpha)); //Lift beyond stall float result = linear+flatPlate; return result; } float Plane::dragCoeff(float alpha) const { const float b = coefficient.b; const float s = coefficient.s; const float c_drag_p = coefficient.c_drag_p; const float c_lift_0 = coefficient.c_lift_0; const float c_lift_a0 = coefficient.c_lift_a; const float oswald = coefficient.oswald; double AR = pow(b,2)/s; double c_drag_a = c_drag_p + pow(c_lift_0+c_lift_a0*alpha,2)/(M_PI*oswald*AR); return c_drag_a; } // Torque calculation function Vector3f Plane::getTorque(float inputAileron, float inputElevator, float inputRudder, float inputThrust, const Vector3f &force) const { float alpha = angle_of_attack; //calculate aerodynamic torque float effective_airspeed = airspeed; if (tailsitter) { /* tailsitters get airspeed from prop-wash */ effective_airspeed += inputThrust * 20; // reduce effective angle of attack as thrust increases alpha *= constrain_float(1 - inputThrust, 0, 1); } const float s = coefficient.s; const float c = coefficient.c; const float b = coefficient.b; const float c_l_0 = coefficient.c_l_0; const float c_l_b = coefficient.c_l_b; const float c_l_p = coefficient.c_l_p; const float c_l_r = coefficient.c_l_r; const float c_l_deltaa = coefficient.c_l_deltaa; const float c_l_deltar = coefficient.c_l_deltar; const float c_m_0 = coefficient.c_m_0; const float c_m_a = coefficient.c_m_a; const float c_m_q = coefficient.c_m_q; const float c_m_deltae = coefficient.c_m_deltae; const float c_n_0 = coefficient.c_n_0; const float c_n_b = coefficient.c_n_b; const float c_n_p = coefficient.c_n_p; const float c_n_r = coefficient.c_n_r; const float c_n_deltaa = coefficient.c_n_deltaa; const float c_n_deltar = coefficient.c_n_deltar; const Vector3f &CGOffset = coefficient.CGOffset; float rho = air_density; //read angular rates double p = gyro.x; double q = gyro.y; double r = gyro.z; double qbar = 1.0/2.0*rho*pow(effective_airspeed,2)*s; //Calculate dynamic pressure double la, na, ma; if (is_zero(effective_airspeed)) { la = 0; ma = 0; na = 0; } else { la = qbar*b*(c_l_0 + c_l_b*beta + c_l_p*b*p/(2*effective_airspeed) + c_l_r*b*r/(2*effective_airspeed) + c_l_deltaa*inputAileron + c_l_deltar*inputRudder); ma = qbar*c*(c_m_0 + c_m_a*alpha + c_m_q*c*q/(2*effective_airspeed) + c_m_deltae*inputElevator); na = qbar*b*(c_n_0 + c_n_b*beta + c_n_p*b*p/(2*effective_airspeed) + c_n_r*b*r/(2*effective_airspeed) + c_n_deltaa*inputAileron + c_n_deltar*inputRudder); } // Add torque to to force misalignment with CG // r x F, where r is the distance from CoG to CoL la += CGOffset.y * force.z - CGOffset.z * force.y; ma += -CGOffset.x * force.z + CGOffset.z * force.x; na += -CGOffset.y * force.x + CGOffset.x * force.y; return Vector3f(la, ma, na); } // Force calculation function from last_letter Vector3f Plane::getForce(float inputAileron, float inputElevator, float inputRudder) const { const float alpha = angle_of_attack; const float c_drag_q = coefficient.c_drag_q; const float c_lift_q = coefficient.c_lift_q; const float s = coefficient.s; const float c = coefficient.c; const float b = coefficient.b; const float c_drag_deltae = coefficient.c_drag_deltae; const float c_lift_deltae = coefficient.c_lift_deltae; const float c_y_0 = coefficient.c_y_0; const float c_y_b = coefficient.c_y_b; const float c_y_p = coefficient.c_y_p; const float c_y_r = coefficient.c_y_r; const float c_y_deltaa = coefficient.c_y_deltaa; const float c_y_deltar = coefficient.c_y_deltar; float rho = air_density; //request lift and drag alpha-coefficients from the corresponding functions double c_lift_a = liftCoeff(alpha); double c_drag_a = dragCoeff(alpha); //convert coefficients to the body frame double c_x_a = -c_drag_a*cos(alpha)+c_lift_a*sin(alpha); double c_x_q = -c_drag_q*cos(alpha)+c_lift_q*sin(alpha); double c_z_a = -c_drag_a*sin(alpha)-c_lift_a*cos(alpha); double c_z_q = -c_drag_q*sin(alpha)-c_lift_q*cos(alpha); //read angular rates double p = gyro.x; double q = gyro.y; double r = gyro.z; //calculate aerodynamic force double qbar = 1.0/2.0*rho*pow(airspeed,2)*s; //Calculate dynamic pressure double ax, ay, az; if (is_zero(airspeed)) { ax = 0; ay = 0; az = 0; } else { ax = qbar*(c_x_a + c_x_q*c*q/(2*airspeed) - c_drag_deltae*cos(alpha)*fabs(inputElevator) + c_lift_deltae*sin(alpha)*inputElevator); // split c_x_deltae to include "abs" term ay = qbar*(c_y_0 + c_y_b*beta + c_y_p*b*p/(2*airspeed) + c_y_r*b*r/(2*airspeed) + c_y_deltaa*inputAileron + c_y_deltar*inputRudder); az = qbar*(c_z_a + c_z_q*c*q/(2*airspeed) - c_drag_deltae*sin(alpha)*fabs(inputElevator) - c_lift_deltae*cos(alpha)*inputElevator); // split c_z_deltae to include "abs" term } return Vector3f(ax, ay, az); } void Plane::calculate_forces(const struct sitl_input &input, Vector3f &rot_accel, Vector3f &body_accel) { float aileron = filtered_servo_angle(input, 0); float elevator = filtered_servo_angle(input, 1); float rudder = filtered_servo_angle(input, 3); bool launch_triggered = input.servos[6] > 1700; float throttle; if (reverse_elevator_rudder) { elevator = -elevator; rudder = -rudder; } if (elevons) { // fake an elevon plane float ch1 = aileron; float ch2 = elevator; aileron = (ch2-ch1)/2.0f; // the minus does away with the need for RC2_REVERSED=-1 elevator = -(ch2+ch1)/2.0f; // assume no rudder rudder = 0; } else if (vtail) { // fake a vtail plane float ch1 = elevator; float ch2 = rudder; // this matches VTAIL_OUTPUT==2 elevator = (ch2-ch1)/2.0f; rudder = (ch2+ch1)/2.0f; } else if (dspoilers) { // fake a differential spoiler plane. Use outputs 1, 2, 4 and 5 float dspoiler1_left = filtered_servo_angle(input, 0); float dspoiler1_right = filtered_servo_angle(input, 1); float dspoiler2_left = filtered_servo_angle(input, 3); float dspoiler2_right = filtered_servo_angle(input, 4); float elevon_left = (dspoiler1_left + dspoiler2_left)/2; float elevon_right = (dspoiler1_right + dspoiler2_right)/2; aileron = (elevon_right-elevon_left)/2; elevator = (elevon_left+elevon_right)/2; rudder = fabsf(dspoiler1_right - dspoiler2_right)/2 - fabsf(dspoiler1_left - dspoiler2_left)/2; } //printf("Aileron: %.1f elevator: %.1f rudder: %.1f\n", aileron, elevator, rudder); if (reverse_thrust) { throttle = filtered_servo_angle(input, 2); } else { throttle = filtered_servo_range(input, 2); } float thrust = throttle; if (ice_engine) { thrust = icengine.update(input); } // calculate angle of attack angle_of_attack = atan2f(velocity_air_bf.z, velocity_air_bf.x); beta = atan2f(velocity_air_bf.y,velocity_air_bf.x); if (tailsitter) { /* tailsitters get 4x the control surfaces */ aileron *= 4; elevator *= 4; rudder *= 4; } Vector3f force = getForce(aileron, elevator, rudder); rot_accel = getTorque(aileron, elevator, rudder, thrust, force); if (have_launcher) { /* simple simulation of a launcher */ if (launch_triggered) { uint64_t now = AP_HAL::millis64(); if (launch_start_ms == 0) { launch_start_ms = now; } if (now - launch_start_ms < launch_time*1000) { force.x += launch_accel; force.z += launch_accel/3; } } else { // allow reset of catapult launch_start_ms = 0; } } // simulate engine RPM rpm1 = thrust * 7000; // scale thrust to newtons thrust *= thrust_scale; accel_body = Vector3f(thrust, 0, 0) + force; accel_body /= mass; // add some noise if (thrust_scale > 0) { add_noise(fabsf(thrust) / thrust_scale); } if (on_ground() && !tailsitter) { // add some ground friction Vector3f vel_body = dcm.transposed() * velocity_ef; accel_body.x -= vel_body.x * 0.3f; } } /* update the plane simulation by one time step */ void Plane::update(const struct sitl_input &input) { Vector3f rot_accel; update_wind(input); calculate_forces(input, rot_accel, accel_body); update_dynamics(rot_accel); update_external_payload(input); // update lat/lon/altitude update_position(); time_advance(); // update magnetic field update_mag_field_bf(); }