1 | % name random variables |
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2 | y = RV({'y'},1); |
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3 | u1 = RV({'u1'},1); |
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4 | u2 = RV({'u2'},1); |
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5 | |
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6 | % create f(y_t| y_{t-3}, u_{t-1}) |
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7 | fy.class = 'mlnorm<ldmat>'; |
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8 | fy.rv = y; |
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9 | fy.rvc = RVtimes([y,u1,u2], [-3, 0, 0]); |
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10 | fy.A = [0.5, -0.9, 0.9]; |
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11 | fy.const = 0; |
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12 | fy.R = 1e-2; |
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13 | |
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14 | DS.class = 'PdfDS'; |
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15 | DS.pdf = fy; |
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16 | |
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17 | % create ARX estimator |
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18 | A1.class = 'ARX'; |
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19 | A1.rv = y; |
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20 | A1.rgr = RVtimes([y,u1],[-3,0]) ; % correct structure is {y,y} |
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21 | A1.options ='logbounds,logll'; |
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22 | A1.frg = 0.95; |
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23 | |
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24 | A2=A1; |
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25 | A2.rgr = RVtimes([y,u2],[-3,0]) ; % correct structure is {y,y} |
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26 | |
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27 | |
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28 | C1.class = 'LQG_ARX'; |
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29 | C1.ARX = A1; |
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30 | C1.Qu = 0.1*eye(1); |
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31 | C1.Qy = 1*eye(1); |
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32 | C1.yreq = 1; |
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33 | C1.horizon = 100; |
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34 | |
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35 | C2=C1; |
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36 | C2.ARX = A2; |
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37 | |
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38 | P1.class = 'ARXAgent'; |
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39 | P1.name = 'P1'; |
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40 | P1.lqg_arx = C1; |
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41 | P1.lqg_arx.class = 'LQG_ARX'; |
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42 | P1.merger.class = 'merger_mix'; |
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43 | P1.merger.method = 'geometric'; |
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44 | P1.neighbours = {'P2'}; |
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45 | |
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46 | P2=P1; |
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47 | P2.name = 'P2'; |
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48 | P2.lqg_arx = C2; |
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49 | P2.neighbours = {}; |
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50 | |
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51 | exper.ndat = 100; |
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52 | exper.burnin = 10; |
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53 | exper.burn_pdf.class = 'enorm<ldmat>'; |
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54 | exper.burn_pdf.mu = [0;0]; |
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55 | exper.burn_pdf.R = 0.01*eye(2); |
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56 | |
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57 | |
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58 | M= arena(DS,{P1,P2},exper); |
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59 | |
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60 | |
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61 | %%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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62 | % PLOTS |
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63 | |
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64 | figure(1); |
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65 | hold off |
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66 | subplot(1,2,1); |
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67 | plot(M.DS_y); |
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68 | subplot(1,2,2); |
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69 | plot(M.DS_u1); hold on; |
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70 | plot(M.DS_u2); |
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71 | |
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72 | figure(2); |
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73 | hold off |
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74 | plot(M.Ctrl0_apost_mean_theta); |
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75 | hold on |
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76 | plot(M.Ctrl0_apost_ub_theta,':'); |
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77 | plot(M.Ctrl0_apost_lb_theta,':'); |
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78 | set(gca,'YLim',[-4,2]); |
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79 | |
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80 | figure(3); |
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81 | hold off |
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82 | plot(M.Ctrl1_apost_mean_theta); |
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83 | hold on |
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84 | plot(M.Ctrl1_apost_ub_theta,':'); |
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85 | plot(M.Ctrl1_apost_lb_theta,':'); |
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86 | set(gca,'YLim',[-2,3]); |
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