1
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const k_f_1 = -0.870303;
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2
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const k_f_2 = -31.9978;
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3
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const k_f_3 = -1.1566;
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4
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const k_f_4 = -2.78873;
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5
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6
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const k_i = -0.44721; (* servo control integral gain *)
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7
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const k_phidot = 25.0; (* turn target speed gain *)
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8
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const k_thetadot = 7.5; (* forward target speed gain *)
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9
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10
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const battery_gain = 0.001089;
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11
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const battery_offset = 0.625;
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12
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13
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const cmd_max = 100.;
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14
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const deg2rad = 0.01745329238;
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15
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const exec_period = 0.00400000019;
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16
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17
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const a_d = 0.8;
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18
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const a_r = 0.996;
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19
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20
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#open "conv"
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21
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22
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node discrete_integrator(exec_period, in : real)
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23
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returns (out: real);
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24
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let
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25
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out = 0. -> pre (exec_period * in + out);
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26
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tel
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27
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28
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node low_pass_filter(a, in: real)
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29
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returns (out : real);
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30
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let
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31
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out = (1.-a)*in -> (1.-a)*in + (pre out) * a;
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32
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tel
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33
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34
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node sat(min, max, in : real)
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35
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returns (out: real);
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36
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let
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37
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out = if in <= min then min else (if in>= max then max else in);
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38
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tel
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39
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40
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node cal_reference(cmd_forward, cmd_turn : real)
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41
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returns (pwm_turn, theta_ref, x_11_ref,x_12_ref,x_13_ref,x_14_ref : real);
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42
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var theta_dot_ref: real;
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43
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let
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44
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theta_dot_ref = low_pass_filter(a_r,k_thetadot*cmd_forward/cmd_max);
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45
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theta_ref=x_11_ref;
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46
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x_11_ref = discrete_integrator(exec_period,theta_dot_ref);
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47
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x_12_ref = 0.;
|
48
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x_13_ref = theta_dot_ref;
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49
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x_14_ref = 0.;
|
50
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pwm_turn = cmd_turn*k_phidot/cmd_max;
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51
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tel
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52
|
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53
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node cal_x1 (gyro, gyro_offset, theta_m_l, theta_m_r:real)
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54
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returns(theta, x_11,x_12,x_13,x_14 : real);
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55
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var psidot, psi, theta_l, theta_r: real;
|
56
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let
|
57
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psidot = (gyro - gyro_offset)*deg2rad;
|
58
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psi = discrete_integrator(exec_period,psidot);
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59
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theta_l= theta_m_l*deg2rad+ psi;
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60
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theta_r = theta_m_r*deg2rad + psi;
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61
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theta = (theta_l+theta_r)/2.;
|
62
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x_11 = theta;
|
63
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x_12 = psi;
|
64
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x_13 = (low_pass_filter(a_d,theta) - (0. -> pre(low_pass_filter(a_d,theta))))/exec_period;
|
65
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x_14 = psidot;
|
66
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tel;
|
67
|
|
68
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node cal_pwm(theta_m_l, theta_m_r, pwm_turn, err, battery : real)
|
69
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returns(pwm_l, pwm_r, anti_windup : real);
|
70
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var fwd, theta_diff : real;
|
71
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let
|
72
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fwd = cmd_max * (err/(battery*battery_gain-battery_offset));
|
73
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pwm_l = sat(-100.,100.,fwd+pwm_turn);
|
74
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theta_diff = theta_m_l - theta_m_r;
|
75
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pwm_r = sat(-100.,100.,fwd-pwm_turn+12.0*theta_diff);
|
76
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anti_windup= pwm_l - fwd+pwm_turn;
|
77
|
tel;
|
78
|
|
79
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node top (in1, in2, in3, in4, cntA, cntB, cntC, battery_voltage : int; gyro_offset : real)
|
80
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returns (speedA, speedB, speedC : int);
|
81
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var gyro, cmd_forward, cmd_turn, theta_m_l, theta_m_r, pwm_turn, theta_ref, x_11_ref, x_12_ref, x_13_ref, x_14_ref, theta, x_11, x_12, x_13, x_14, errtheta, err, pwm_l, pwm_r, anti_windup: real;
|
82
|
let
|
83
|
cmd_forward = if in2 <= 25 then -100. else 0.;
|
84
|
cmd_turn = 0.;
|
85
|
gyro = int_to_real(in3);
|
86
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theta_m_l = int_to_real(cntC);
|
87
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theta_m_r = int_to_real(cntB);
|
88
|
|
89
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(pwm_turn, theta_ref, x_11_ref, x_12_ref, x_13_ref, x_14_ref) = cal_reference(cmd_forward, cmd_turn);
|
90
|
|
91
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(theta, x_11, x_12, x_13, x_14) = cal_x1(gyro, gyro_offset, theta_m_l, theta_m_r);
|
92
|
|
93
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errtheta = discrete_integrator(exec_period, (theta_ref-theta)*k_i + 0. -> pre(anti_windup*0.1));
|
94
|
|
95
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err = errtheta + k_f_1*(x_11_ref-x_11) + k_f_2*(x_12_ref-x_12)+ k_f_3*(x_13_ref-x_13) +k_f_4*(x_14_ref-x_14);
|
96
|
|
97
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(pwm_l,pwm_r, anti_windup) = cal_pwm(theta_m_l, theta_m_r, pwm_turn, err, int_to_real(battery_voltage));
|
98
|
|
99
|
speedA = 0;
|
100
|
speedB = real_to_int(pwm_r);
|
101
|
speedC = real_to_int(pwm_l);
|
102
|
tel
|
103
|
|
104
|
(*
|
105
|
node automate(in1, in2, in3, in4, cntA, cntB, cntC, battery_voltage : int)
|
106
|
returns (speedA, speedB, speedC : int);
|
107
|
var
|
108
|
cnt : int; gyro_offset : real;
|
109
|
let
|
110
|
cnt = 1 -> pre(cnt) +1;
|
111
|
gyro_offset = int_to_real(in3) -> int_to_real(in3)/int_to_real(cnt) + (int_to_real(cnt-1)/int_to_real(cnt))*pre(gyro_offset);
|
112
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(speedA, speedB, speedC) = if cnt <= 250 then (0, 0, 0) else top(in1, in2, in3, in4, cntA, cntB, cntC, battery_voltage, gyro_offset);
|
113
|
tel
|
114
|
*)
|