/*
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 .
*/
/*
helicopter simulator class
*/
#include "SIM_Helicopter.h"
#include
namespace SITL {
Helicopter::Helicopter(const char *frame_str) :
Aircraft(frame_str)
{
mass = 4.54f;
if (strstr(frame_str, "-dual")) {
frame_type = HELI_FRAME_DUAL;
_time_delay = 30;
nominal_rpm = 1300;
} else if (strstr(frame_str, "-compound")) {
frame_type = HELI_FRAME_COMPOUND;
_time_delay = 50;
nominal_rpm = 1500;
} else if (strstr(frame_str, "-blade360")) {
frame_type = HELI_FRAME_BLADE360;
_time_delay = 40;
nominal_rpm = 2100;
} else {
frame_type = HELI_FRAME_CONVENTIONAL;
_time_delay = 50;
nominal_rpm = 1500;
}
/*
For conventional and compound
scaling from motor power to Newtons. Allows the copter
to hover against gravity when the motor is at hover_throttle
normalized to hover at 1500RPM at 5 deg collective.
*/
thrust_scale = (mass * GRAVITY_MSS) / (hover_coll * sq(nominal_rpm * 2.0f * M_PI / 60.0f));
// calculates tail rotor thrust to overcome rotor torque using the lean angle in a hover
torque_scale = 0.83f * mass * GRAVITY_MSS * sinf(radians(hover_lean)) * tr_dist / (hover_coll * sq(nominal_rpm * 2.0f * M_PI / 60.0f));
// torque with zero collective pitch. Percentage of total hover torque is based on full scale helicopters.
torque_mpog = 0.17f * mass * GRAVITY_MSS * sinf(radians(hover_lean)) * tr_dist / sq(nominal_rpm * 2.0f * M_PI / 60.0f);
frame_height = 0.1;
gas_heli = (strstr(frame_str, "-gas") != nullptr);
ground_behavior = GROUND_BEHAVIOR_NO_MOVEMENT;
lock_step_scheduled = true;
}
/*
update the helicopter simulation by one time step
*/
void Helicopter::update(const struct sitl_input &input)
{
const float dt = frame_time_us * 1.0e-6f;
// get wind vector setup
update_wind(input);
motor_interlock = input.servos[7] > 1400;
float rsc = constrain_float((input.servos[7]-1000) / 1000.0f, 0, 1);
float rsc_scale = rsc/rsc_setpoint;
float thrust = 0;
float roll_rate = 0;
float pitch_rate = 0;
float yaw_rate = 0;
float torque_effect_accel = 0;
float lateral_x_thrust = 0;
float lateral_y_thrust = 0;
if (_time_delay == 0) {
for (uint8_t i = 0; i < 6; i++) {
_servos_delayed[i] = input.servos[i];
}
} else if (servos_stored_buffer == nullptr) {
uint16_t buffer_size = constrain_int16(_time_delay, 1, 100) * 0.001f / dt;
servos_stored_buffer = new ObjectBuffer(buffer_size);
while (servos_stored_buffer->space() != 0) {
push_to_buffer(input.servos);
}
for (uint8_t i = 0; i < 6; i++) {
_servos_delayed[i] = input.servos[i];
}
} else {
pull_from_buffer(_servos_delayed);
push_to_buffer(input.servos);
}
float swash1 = (_servos_delayed[0]-1000) / 1000.0f;
float swash2 = (_servos_delayed[1]-1000) / 1000.0f;
float swash3 = (_servos_delayed[2]-1000) / 1000.0f;
Vector3f rot_accel;
Vector3f air_resistance;
switch (frame_type) {
case HELI_FRAME_CONVENTIONAL: {
// simulate a traditional helicopter
float Ma1s = 617.5f;
float Lb1s = 3588.6f;
float Mu = 0.003f;
float Lv = -0.006;
float Xu = -0.125;
float Yv = -0.375;
float Zw = -0.375;
float tail_rotor = (_servos_delayed[3]-1000) / 1000.0f;
// determine RPM
rpm[0] = update_rpm(motor_interlock, dt);
// thrust calculated based on 5 deg hover collective for 10lb aircraft at 1500RPM
float coll = 50.0f * (swash1+swash2+swash3) / 3.0f - 25.0f;
thrust = thrust_scale * sq(rpm[0] * 0.104667f) * (0.25* (coll - hover_coll) + hover_coll);
// Calculate main rotor torque effect on body
torque_effect_accel = -1 * sq(rpm[0] * 0.104667f) * (torque_mpog + torque_scale * fabsf(coll)) / izz;
// Calculate rotor tip path plane angle
float roll_cyclic = 1.283 * (swash1 - swash2) / cyclic_scalar;
float pitch_cyclic = 1.48 * ((swash1+swash2) / 2.0f - swash3) / cyclic_scalar;
Vector2f ctrl_pos = Vector2f(roll_cyclic, pitch_cyclic);
update_rotor_dynamics(gyro, ctrl_pos, _tpp_angle, dt);
float yaw_cmd = 2.0f * tail_rotor - 1.0f; // convert range to -1 to 1
float tail_rotor_torque = (21.6f * 2.96f * yaw_cmd - 2.96f * gyro.z) * sq(rpm[0]/nominal_rpm);
float tail_rotor_thrust = -1.0f * tail_rotor_torque * izz / tr_dist; //right pedal produces left body accel
// rotational acceleration, in rad/s/s, in body frame
rot_accel.x = _tpp_angle.x * Lb1s + Lv * velocity_air_bf.y;
rot_accel.y = _tpp_angle.y * Ma1s + Mu * velocity_air_bf.x;
rot_accel.z = tail_rotor_torque + torque_effect_accel;
lateral_y_thrust = tail_rotor_thrust / mass + GRAVITY_MSS * _tpp_angle.x + Yv * velocity_air_bf.y;
lateral_x_thrust = -1.0f * GRAVITY_MSS * _tpp_angle.y + Xu * velocity_air_bf.x;
accel_body = Vector3f(lateral_x_thrust, lateral_y_thrust, -thrust / mass + velocity_air_bf.z * Zw);
break;
}
case HELI_FRAME_BLADE360: {
// simulate a Blade 360 helicopter. This model was taken from the following reference.
// Walker, J, Tishler, M, "Identification and Control Design of a Sub-Scale Flybarless Helicopter",
// Vertical Flight Society’s 77th Annual Forum & Technology Display, Virtual, May 10-14, 2021.
float Ma1s = 796.7f;
float Lb1s = 5115.2f;
float Mu = 2.7501f;
float Mv = -2.3039f;
float Lu = -28.7796f;
float Lv = -5.5376f;
float Xu = -0.2270f;
float Yv = -0.1852f;
float Yp = 0.2303f;
float Zw = -0.5910f;
float Nr = -2.0131f;
float Nw = 5.7574f;
float Nv = 1.7258f;
float Ncol = -32.4616f;
float Nped = 63.0040f;
float Zcol = -22.3239f;
float tail_rotor = (_servos_delayed[3]-1000) / 1000.0f;
// determine RPM
rpm[0] = update_rpm(motor_interlock, dt);
// collective adjusted for coll_min(1460) to coll_max(1740) as 0 to 1 with 1500 being zero thrust
float coll = 3.51 * ((swash1+swash2+swash3) / 3.0f - 0.5f);
// Calculate rotor tip path plane angle
float roll_cyclic = 1.283f * (swash1 - swash2);
float pitch_cyclic = 1.48f * ((swash1+swash2) / 2.0f - swash3);
Vector2f ctrl_pos = Vector2f(roll_cyclic, pitch_cyclic);
update_rotor_dynamics(gyro, ctrl_pos, _tpp_angle, dt);
float yaw_cmd = 1.45f * (2.0f * tail_rotor - 1.0f); // convert range to -1 to 1
// rotational acceleration, in rad/s/s, in body frame
rot_accel.x = _tpp_angle.x * Lb1s + Lu * velocity_air_bf.x + Lv * velocity_air_bf.y;
rot_accel.y = _tpp_angle.y * Ma1s + Mu * velocity_air_bf.x + Mv * velocity_air_bf.y;
rot_accel.z = Nv * velocity_air_bf.y + Nr * gyro.z + sq(rpm[0]/nominal_rpm) * Nped * yaw_cmd + Nw * velocity_air_bf.z + sq(rpm[0]/nominal_rpm) * Ncol * (coll - 0.5f);
lateral_y_thrust = GRAVITY_MSS * _tpp_angle.x + Yv * velocity_air_bf.y + Yp * gyro.x - 3.2 * 0.01745 * GRAVITY_MSS;
lateral_x_thrust = -1.0f * GRAVITY_MSS * _tpp_angle.y + Xu * velocity_air_bf.x;
float vertical_thrust = Zcol * coll * sq(rpm[0]/nominal_rpm) + velocity_air_bf.z * Zw;
accel_body = Vector3f(lateral_x_thrust, lateral_y_thrust, vertical_thrust);
break;
}
case HELI_FRAME_DUAL: {
// simulate a tandem helicopter
thrust_scale = (mass * GRAVITY_MSS) / hover_throttle;
float swash4 = (_servos_delayed[3]-1000) / 1000.0f;
float swash5 = (_servos_delayed[4]-1000) / 1000.0f;
float swash6 = (_servos_delayed[5]-1000) / 1000.0f;
thrust = (rsc / rsc_setpoint) * (swash1+swash2+swash3+swash4+swash5+swash6) / 6.0f;
torque_effect_accel = (rsc_scale + rsc / rsc_setpoint) * rotor_rot_accel * ((swash1+swash2+swash3) - (swash4+swash5+swash6));
roll_rate = (swash1-swash2) + (swash4-swash5);
pitch_rate = (swash1+swash2+swash3) - (swash4+swash5+swash6);
yaw_rate = (swash1-swash2) + (swash5-swash4);
roll_rate *= rsc_scale;
pitch_rate *= rsc_scale;
yaw_rate *= rsc_scale;
// rotational acceleration, in rad/s/s, in body frame
rot_accel.x = roll_rate * roll_rate_max;
rot_accel.y = pitch_rate * pitch_rate_max;
rot_accel.z = yaw_rate * yaw_rate_max;
// rotational air resistance
rot_accel.x -= gyro.x * radians(5000.0) / terminal_rotation_rate;
rot_accel.y -= gyro.y * radians(5000.0) / terminal_rotation_rate;
rot_accel.z -= gyro.z * radians(400.0) / terminal_rotation_rate;
// torque effect on tail
rot_accel.z += torque_effect_accel;
// air resistance
air_resistance = -velocity_air_ef * (GRAVITY_MSS/terminal_velocity);
// simulate rotor speed
rpm[0] = thrust * nominal_rpm;
// scale thrust to newtons
thrust *= thrust_scale;
accel_body = Vector3f(lateral_x_thrust, lateral_y_thrust, -thrust / mass);
accel_body += dcm.transposed() * air_resistance;
break;
}
case HELI_FRAME_COMPOUND: {
// simulate a compound helicopter
float Ma1s = 617.5f;
float Lb1s = 3588.6f;
float Mu = 0.003f;
float Lv = -0.006;
float Xu = -0.125;
float Yv = -0.375;
float Zw = -0.375;
// determine RPM
rpm[0] = update_rpm(motor_interlock, dt);
// thrust calculated based on 5 deg hover collective for 10lb aircraft at 1500RPM
float coll = 50.0f * (swash1+swash2+swash3) / 3.0f - 25.0f;
thrust = thrust_scale * sq(rpm[0] * 0.104667f) * (0.25* (coll - hover_coll) + hover_coll);
// Calculate main rotor torque effect on body
torque_effect_accel = -1 * sq(rpm[0] * 0.104667f) * (torque_mpog + torque_scale * fabsf(coll)) / izz;
// Calculate rotor tip path plane angle
float roll_cyclic = 1.283 * (swash1 - swash2) / cyclic_scalar;
float pitch_cyclic = 1.48 * ((swash1+swash2) / 2.0f - swash3) / cyclic_scalar;
Vector2f ctrl_pos = Vector2f(roll_cyclic, pitch_cyclic);
update_rotor_dynamics(gyro, ctrl_pos, _tpp_angle, dt);
// Calculate thruster yaw and forward thrust effects
// Thruster command range -1 to 1. Positive is forward thrust for both
float right_thruster_cmd = 2.0f * (_servos_delayed[3]-1000) / 1000.0f - 1.0f;
float left_thruster_cmd = 2.0f * (_servos_delayed[4]-1000) / 1000.0f - 1.0f;
// assume torque from each thruster only half of normal tailrotor since thrusters 1/2 distance from cg
float right_thruster_torque = (-0.5f * 21.6f * 2.96f * right_thruster_cmd - 2.96f * gyro.z) * sq(rpm[0] / nominal_rpm);
float left_thruster_torque = (0.5f * 21.6f * 2.96f * left_thruster_cmd - 2.96f * gyro.z) * sq(rpm[0] / nominal_rpm);
float right_thruster_force = -1.0f * right_thruster_torque * izz / (0.5f * tr_dist);
float left_thruster_force = left_thruster_torque * izz / (0.5f * tr_dist);
// rotational acceleration, in rad/s/s, in body frame
rot_accel.x = _tpp_angle.x * Lb1s + Lv * velocity_air_bf.y;
rot_accel.y = _tpp_angle.y * Ma1s + Mu * velocity_air_bf.x;
rot_accel.z = right_thruster_torque + left_thruster_torque + torque_effect_accel;
lateral_y_thrust = GRAVITY_MSS * _tpp_angle.x + Yv * velocity_air_bf.y;
lateral_x_thrust = (right_thruster_force + left_thruster_force) / mass - GRAVITY_MSS * _tpp_angle.y + Xu * velocity_air_bf.x;
accel_body = Vector3f(lateral_x_thrust, lateral_y_thrust, -thrust / mass + velocity_air_bf.z * Zw);
break;
}
}
update_dynamics(rot_accel);
update_external_payload(input);
// update lat/lon/altitude
update_position();
time_advance();
// update magnetic field
update_mag_field_bf();
}
void Helicopter::update_rotor_dynamics(Vector3f gyros, Vector2f ctrl_pos, Vector2f &tpp_angle, float dt)
{
float tf_inv;
float Lfa1s;
float Mfb1s;
float Lflt;
float Lflg;
float Mflt;
float Mflg;
if (frame_type == HELI_FRAME_BLADE360) {
tf_inv = 1.0f / 0.0353f;
Lfa1s = 1.0477f;
Mfb1s = -1.0057f;
Lflt = 0.2375f;
Lflg = -0.0286f;
Mflt = 0.0344f;
Mflg = 0.2292f;
} else {
tf_inv = 1.0f / 0.068232f;
Lfa1s = 1.2963f;
Mfb1s = -1.3402f;
Lflt = 1.7635f;
Lflg = -0.61171f;
Mflt = 0.52454f;
Mflg = 1.9432f;
}
float b1s_dot = -1 * gyro.x - tf_inv * tpp_angle.x + tf_inv * (Lfa1s * tpp_angle.y + Lflt * ctrl_pos.x + Lflg * ctrl_pos.y);
float a1s_dot = -1 * gyro.y - tf_inv * tpp_angle.y + tf_inv * (Mfb1s * tpp_angle.x + Mflt * ctrl_pos.x + Mflg * ctrl_pos.y);
tpp_angle.x += b1s_dot * dt;
tpp_angle.y += a1s_dot * dt;
}
float Helicopter::update_rpm(bool interlock, float dt)
{
static float rotor_runup_output;
float runup_time = 8.0f;
// ramp speed estimate towards control out
float runup_increment = dt / runup_time;
if (interlock) {
if (rotor_runup_output < 1.0f) {
rotor_runup_output += runup_increment;
} else {
rotor_runup_output = 1.0f;
}
}else{
if (rotor_runup_output > 0.0f) {
rotor_runup_output -= runup_increment;
} else {
rotor_runup_output = 0.0f;
}
}
return nominal_rpm * constrain_float(rotor_runup_output,0.0f,1.0f);
}
// push servo input to buffer
void Helicopter::push_to_buffer(const uint16_t servos_input[16])
{
servos_stored sample;
sample.servo1 = servos_input[0];
sample.servo2 = servos_input[1];
sample.servo3 = servos_input[2];
sample.servo4 = servos_input[3];
sample.servo5 = servos_input[4];
sample.servo6 = servos_input[5];
servos_stored_buffer->push(sample);
}
// pull servo delay from buffer
void Helicopter::pull_from_buffer(uint16_t servos_delayed[6])
{
servos_stored sample;
if (!servos_stored_buffer->pop(sample)) {
// no sample
return;
}
servos_delayed[0] = sample.servo1;
servos_delayed[1] = sample.servo2;
servos_delayed[2] = sample.servo3;
servos_delayed[3] = sample.servo4;
servos_delayed[4] = sample.servo5;
servos_delayed[5] = sample.servo6;
}
} // namespace SITL