1 | /*! |
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2 | \file |
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3 | \brief Bayesian Filtering for linear Gaussian models (Kalman Filter) and extensions |
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4 | \author Vaclav Smidl. |
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5 | |
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6 | ----------------------------------- |
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7 | BDM++ - C++ library for Bayesian Decision Making under Uncertaint16y |
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8 | |
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9 | Using IT++ for numerical operations |
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10 | ----------------------------------- |
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11 | */ |
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12 | |
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13 | #ifndef EKFfix_H |
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14 | #define EKFfix_H |
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15 | |
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16 | |
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17 | #include <estim/kalman.h> |
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18 | #include "fixed.h" |
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19 | #include "matrix.h" |
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20 | #include "matrix_vs.h" |
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21 | #include "reference_Q15.h" |
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22 | #include "parametry_motoru.h" |
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23 | |
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24 | using namespace bdm; |
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25 | |
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26 | double minQ(double Q); |
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27 | |
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28 | void mat_to_int16(const imat &M, int16 *I); |
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29 | void vec_to_int16(const ivec &v, int16 *I); |
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30 | void UDtof(const mat &U, const vec &D, imat &Uf, ivec &Df, const vec &xref); |
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31 | |
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32 | #ifdef XXX |
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33 | /*! |
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34 | \brief Extended Kalman Filter with full matrices in fixed point16 arithmetic |
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35 | |
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36 | An approximation of the exact Bayesian filter with Gaussian noices and non-linear evolutions of their mean. |
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37 | */ |
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38 | class EKFfixed : public BM { |
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39 | public: |
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40 | void init_ekf(double Tv); |
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41 | void ekf(double ux, double uy, double isxd, double isyd); |
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42 | |
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43 | /* Declaration of local functions */ |
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44 | void prediction(int16 *ux); |
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45 | void correction(void); |
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46 | void update_psi(void); |
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47 | |
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48 | /* Constants - definovat jako konstanty ?? ?kde je vyhodnejsi aby v pameti byli?*/ |
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49 | int16 Q[16]; /* matrix [4,4] */ |
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50 | int16 R[4]; /* matrix [2,2] */ |
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51 | |
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52 | int16 x_est[4]; |
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53 | int16 x_pred[4]; |
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54 | int16 P_pred[16]; /* matrix [4,4] */ |
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55 | int16 P_est[16]; /* matrix [4,4] */ |
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56 | int16 Y_mes[2]; |
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57 | int16 ukalm[2]; |
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58 | int16 Kalm[8]; /* matrix [5,2] */ |
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59 | |
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60 | int16 PSI[16]; /* matrix [4,4] */ |
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61 | |
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62 | int16 temp15a[16]; |
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63 | |
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64 | int16 cA, cB, cC, cG, cH; // cD, cE, cF, cI ... nepouzivane |
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65 | |
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66 | int32 temp30a[4]; /* matrix [2,2] - temporary matrix for inversion */ |
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67 | enorm<fsqmat> E; |
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68 | mat Ry; |
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69 | |
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70 | public: |
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71 | //! Default constructor |
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72 | EKFfixed ():BM(),E(),Ry(2,2){ |
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73 | int16 i; |
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74 | for(i=0;i<16;i++){Q[i]=0;} |
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75 | for(i=0;i<4;i++){R[i]=0;} |
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76 | |
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77 | for(i=0;i<4;i++){x_est[i]=0;} |
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78 | for(i=0;i<4;i++){x_pred[i]=0;} |
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79 | for(i=0;i<16;i++){P_pred[i]=0;} |
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80 | for(i=0;i<16;i++){P_est[i]=0;} |
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81 | P_est[0]=0x7FFF; |
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82 | P_est[5]=0x7FFF; |
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83 | P_est[10]=0x7FFF; |
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84 | P_est[15]=0x7FFF; |
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85 | for(i=0;i<2;i++){Y_mes[i]=0;} |
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86 | for(i=0;i<2;i++){ukalm[i]=0;} |
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87 | for(i=0;i<8;i++){Kalm[i]=0;} |
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88 | |
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89 | for(i=0;i<16;i++){PSI[i]=0;} |
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90 | |
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91 | set_dim(4); |
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92 | E._mu()=zeros(4); |
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93 | E._R()=zeros(4,4); |
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94 | init_ekf(0.000125); |
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95 | }; |
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96 | //! Here dt = [yt;ut] of appropriate dimensions |
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97 | void bayes ( const vec &yt, const vec &ut ); |
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98 | //!dummy! |
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99 | const epdf& posterior() const {return E;}; |
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100 | |
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101 | }; |
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102 | |
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103 | UIREGISTER(EKFfixed); |
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104 | |
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105 | #endif |
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106 | |
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107 | //! EKF for testing q44 |
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108 | class EKFtest: public EKF_UD{ |
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109 | void bayes ( const vec &yt, const vec &cond ) { |
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110 | EKF_UD::bayes(yt,cond); |
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111 | vec D = prior()._R()._D(); |
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112 | |
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113 | if (D(3)>10) D(3) = 10; |
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114 | |
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115 | prior()._R().__D()=D; |
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116 | } |
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117 | }; |
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118 | UIREGISTER(EKFtest); |
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119 | |
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120 | /*! |
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121 | \brief Extended Kalman Filter with UD matrices in fixed point16 arithmetic |
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122 | |
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123 | An approximation of the exact Bayesian filter with Gaussian noices and non-linear evolutions of their mean. |
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124 | */ |
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125 | class EKFfixedUD : public BM { |
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126 | public: |
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127 | LOG_LEVEL(EKFfixedUD,logU, logG, logD, logA, logP); |
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128 | |
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129 | void init_ekf(double Tv); |
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130 | void ekf(double ux, double uy, double isxd, double isyd); |
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131 | |
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132 | /* Constants - definovat jako konstanty ?? ?kde je vyhodnejsi aby v pameti byli?*/ |
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133 | int16 Q[16]; /* matrix [4,4] */ |
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134 | int16 R[4]; /* matrix [2,2] */ |
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135 | |
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136 | int16 x_est[4]; /* estimate and prediction */ |
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137 | |
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138 | int16 PSI[16]; /* matrix [4,4] */ |
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139 | int16 PSIU[16]; /* matrix PIS*U, [4,4] */ |
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140 | |
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141 | int16 Uf[16]; // upper triangular of covariance (inplace) |
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142 | int16 Df[4]; // diagonal covariance |
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143 | int16 Dfold[4]; // temp of D |
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144 | int16 G[16]; // temp for bierman |
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145 | |
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146 | int16 cA, cB, cC, cG, cH; // cD, cE, cF, cI ... nepouzivane |
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147 | |
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148 | enorm<fsqmat> E; |
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149 | mat Ry; |
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150 | |
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151 | public: |
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152 | //! Default constructor |
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153 | EKFfixedUD ():BM(),E(),Ry(2,2){ |
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154 | int16 i; |
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155 | for(i=0;i<16;i++){Q[i]=0;} |
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156 | for(i=0;i<4;i++){R[i]=0;} |
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157 | |
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158 | for(i=0;i<4;i++){x_est[i]=0;} |
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159 | for(i=0;i<16;i++){Uf[i]=0;} |
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160 | for(i=0;i<4;i++){Df[i]=0;} |
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161 | for(i=0;i<16;i++){G[i]=0;} |
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162 | for(i=0;i<4;i++){Dfold[i]=0;} |
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163 | |
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164 | for(i=0;i<16;i++){PSI[i]=0;} |
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165 | |
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166 | set_dim(4); |
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167 | E._mu()=zeros(4); |
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168 | E._R()=zeros(4,4); |
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169 | init_ekf(0.000125); |
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170 | }; |
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171 | //! Here dt = [yt;ut] of appropriate dimensions |
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172 | void bayes ( const vec &yt, const vec &ut ); |
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173 | //!dummy! |
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174 | const epdf& posterior() const {return E;}; |
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175 | void log_register(logger &L, const string &prefix){ |
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176 | BM::log_register ( L, prefix ); |
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177 | |
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178 | L.add_vector ( log_level, logG, RV("G",16), prefix ); |
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179 | L.add_vector ( log_level, logU, RV ("U", 16 ), prefix ); |
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180 | L.add_vector ( log_level, logD, RV ("D", 4 ), prefix ); |
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181 | L.add_vector ( log_level, logA, RV ("A", 16 ), prefix ); |
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182 | L.add_vector ( log_level, logP, RV ("P", 16 ), prefix ); |
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183 | |
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184 | }; |
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185 | //void from_setting(); |
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186 | }; |
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187 | |
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188 | UIREGISTER(EKFfixedUD); |
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189 | |
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190 | /*! |
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191 | * \brief Extended Kalman Filter with Chol matrices in fixed point16 arithmetic |
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192 | * |
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193 | * An approximation of the exact Bayesian filter with Gaussian noices and non-linear evolutions of their mean. |
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194 | */ |
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195 | class EKFfixedCh : public BM { |
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196 | public: |
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197 | LOG_LEVEL(EKFfixedCh,logCh, logA, logP); |
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198 | |
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199 | void init_ekf(double Tv); |
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200 | void ekf(double ux, double uy, double isxd, double isyd); |
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201 | |
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202 | /* Constants - definovat jako konstanty ?? ?kde je vyhodnejsi aby v pameti byli?*/ |
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203 | int16 Q[16]; /* matrix [4,4] */ |
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204 | int16 R[4]; /* matrix [2,2] */ |
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205 | |
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206 | int16 x_est[4]; /* estimate and prediction */ |
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207 | |
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208 | int16 PSI[16]; /* matrix [4,4] */ |
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209 | int16 PSICh[16]; /* matrix PIS*U, [4,4] */ |
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210 | |
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211 | int16 Chf[16]; // upper triangular of covariance (inplace) |
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212 | |
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213 | int16 cA, cB, cC, cG, cH; // cD, cE, cF, cI ... nepouzivane |
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214 | |
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215 | enorm<chmat> E; |
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216 | mat Ry; |
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217 | |
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218 | public: |
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219 | //! Default constructor |
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220 | EKFfixedCh ():BM(),E(),Ry(2,2){ |
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221 | int16 i; |
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222 | for(i=0;i<16;i++){Q[i]=0;} |
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223 | for(i=0;i<4;i++){R[i]=0;} |
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224 | |
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225 | for(i=0;i<4;i++){x_est[i]=0;} |
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226 | for(i=0;i<16;i++){Chf[i]=0;} |
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227 | |
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228 | for(i=0;i<16;i++){PSI[i]=0;} |
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229 | |
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230 | set_dim(4); |
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231 | E._mu()=zeros(4); |
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232 | E._R()=zeros(4,4); |
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233 | init_ekf(0.000125); |
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234 | }; |
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235 | //! Here dt = [yt;ut] of appropriate dimensions |
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236 | void bayes ( const vec &yt, const vec &ut ); |
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237 | //!dummy! |
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238 | const epdf& posterior() const {return E;}; |
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239 | void log_register(logger &L, const string &prefix){ |
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240 | BM::log_register ( L, prefix ); |
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241 | |
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242 | L.add_vector ( log_level, logCh, RV ("Ch", 16 ), prefix ); |
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243 | L.add_vector ( log_level, logA, RV ("A", 16 ), prefix ); |
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244 | L.add_vector ( log_level, logP, RV ("P", 16 ), prefix ); |
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245 | |
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246 | }; |
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247 | //void from_setting(); |
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248 | }; |
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249 | |
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250 | UIREGISTER(EKFfixedCh); |
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251 | |
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252 | |
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253 | //! EKF for comparison of EKF_UD with its fixed-point16 implementation |
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254 | class EKF_UDfix : public BM { |
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255 | protected: |
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256 | //! logger |
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257 | LOG_LEVEL(EKF_UDfix,logU, logG); |
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258 | //! Internal Model f(x,u) |
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259 | shared_ptr<diffbifn> pfxu; |
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260 | |
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261 | //! Observation Model h(x,u) |
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262 | shared_ptr<diffbifn> phxu; |
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263 | |
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264 | //! U part |
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265 | mat U; |
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266 | //! D part |
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267 | vec D; |
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268 | |
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269 | mat A; |
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270 | mat C; |
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271 | mat Q; |
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272 | vec R; |
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273 | |
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274 | enorm<ldmat> est; |
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275 | |
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276 | |
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277 | public: |
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278 | |
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279 | //! copy constructor duplicated |
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280 | EKF_UDfix* _copy() const { |
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281 | return new EKF_UDfix(*this); |
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282 | } |
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283 | |
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284 | const enorm<ldmat>& posterior()const{return est;}; |
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285 | |
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286 | enorm<ldmat>& prior() { |
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287 | return const_cast<enorm<ldmat>&>(posterior()); |
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288 | } |
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289 | |
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290 | EKF_UDfix(){} |
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291 | |
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292 | |
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293 | EKF_UDfix(const EKF_UDfix &E0): pfxu(E0.pfxu),phxu(E0.phxu), U(E0.U), D(E0.D){} |
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294 | |
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295 | //! Set nonlinear functions for mean values and covariance matrices. |
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296 | void set_parameters ( const shared_ptr<diffbifn> &pfxu, const shared_ptr<diffbifn> &phxu, const mat Q0, const vec R0 ); |
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297 | |
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298 | //! Here dt = [yt;ut] of appropriate dimensions |
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299 | void bayes ( const vec &yt, const vec &cond = empty_vec ); |
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300 | |
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301 | void log_register ( bdm::logger& L, const string& prefix ){ |
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302 | BM::log_register ( L, prefix ); |
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303 | |
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304 | if ( log_level[logU] ) |
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305 | L.add_vector ( log_level, logU, RV ( dimension()*dimension() ), prefix ); |
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306 | if ( log_level[logG] ) |
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307 | L.add_vector ( log_level, logG, RV ( dimension()*dimension() ), prefix ); |
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308 | |
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309 | } |
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310 | /*! Create object from the following structure |
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311 | |
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312 | \code |
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313 | class = 'EKF_UD'; |
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314 | OM = configuration of bdm::diffbifn; % any offspring of diffbifn, bdm::diffbifn::from_setting |
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315 | IM = configuration of bdm::diffbifn; % any offspring of diffbifn, bdm::diffbifn::from_setting |
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316 | dQ = [...]; % vector containing diagonal of Q |
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317 | dR = [...]; % vector containing diagonal of R |
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318 | --- optional fields --- |
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319 | mu0 = [...]; % vector of statistics mu0 |
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320 | dP0 = [...]; % vector containing diagonal of P0 |
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321 | -- or -- |
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322 | P0 = [...]; % full matrix P0 |
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323 | --- inherited fields --- |
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324 | bdm::BM::from_setting |
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325 | \endcode |
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326 | If the optional fields are not given, they will be filled as follows: |
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327 | \code |
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328 | mu0 = [0,0,0,....]; % empty statistics |
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329 | P0 = eye( dim ); |
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330 | \endcode |
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331 | */ |
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332 | void from_setting ( const Setting &set ); |
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333 | |
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334 | void validate() {}; |
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335 | // TODO dodelat void to_setting( Setting &set ) const; |
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336 | |
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337 | }; |
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338 | UIREGISTER(EKF_UDfix); |
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339 | |
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340 | |
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341 | |
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342 | |
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343 | #endif // KF_H |
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344 | |
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