Overview
Comment: | Linear intermittent PPP for real-time control -- Lego RCX in first instance |
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Timelines: | family | ancestors | descendants | both | origin/master | trunk |
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SHA3-256: |
4cb8770a401dce3a4cfb70be230a9663 |
User & Date: | gawthrop@users.sourceforge.net on 2003-05-16 14:29:54 |
Other Links: | branch diff | manifest | tags |
Context
2003-05-22
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17:26:52 | Sanity test on w check-in: 2dea05469f user: gawthrop@users.sourceforge.net tags: origin/master, trunk | |
2003-05-16
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14:29:54 | Linear intermittent PPP for real-time control -- Lego RCX in first instance check-in: 4cb8770a40 user: gawthrop@users.sourceforge.net tags: origin/master, trunk | |
14:27:13 | Outputs current (not predicted) system output estimate. check-in: db90f6a5b4 user: gawthrop@users.sourceforge.net tags: origin/master, trunk | |
Changes
Added mttroot/mtt/lib/control/PPP/ppp_lin_run.m version [572a950a69].
> > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 | function [y,u,t,y_e,t_e] = ppp_lin_run (Name,Simulate,ControlType,w,p_c,p_o) ## usage: [y,u,t,y_e,t_e] = ppp_lin_run (Name,Simulate,ControlType,w,p_c,p_o); ## ## ## Linear closed-loop PPP of lego system (and simulation) ## ## Name: Name of system (in mtt terms) ## Simulate = 0: real thing ## Simulate = 1: simulate ## Control = 0: step test ## Control = 1: PPP open-loop ## Control = 2: PPP closed-loop ## w is the (constant) setpoint ## par_control and par_observer are structures containing parameters ## for the observer and controller ##Defaults if nargin<1 # Default name to dir name names = split(pwd,"/"); [n_name,m_name] = size(names); Name = deblank(names(n_name,:)); endif if nargin<2 Simulate = 1; endif if nargin<3 ControlType = 2; endif if nargin<4 w = 1; endif if nargin<5 p_c.N = 10; endif if nargin<6 p_o.sigma = 0.001; endif if !struct_contains(p_c,"N") p_c.N = 10; # Number of small samples endif if !struct_contains(p_c,"A_w") p_c.A_w = 0; endif if !struct_contains(p_c,"A_u") p_c.N_u = 3; a_u = 2.0; p_c.A_u = ppp_aug(p_c.A_w,laguerre_matrix(p_c.N_u-1,a_u)); endif [p_c.N_u,M_u] = size(p_c.A_u); if (p_c.N_u<>M_u) error("A_u must be square"); endif ## System sys = mtt2sys(Name); # Create system [A,B,C,D] = sys2ss(sys); # SS form [n_x, n_u, n_y] = abcddim(A,B,C,D) ol_poles = eig(A) ## Initialise x_0 = zeros(n_x,1); x_est = x_0; ## Initilise simulation state x = x_0; ##x(2) = 0.2; # x(2) = y_0(1); # x(4) = y_0(2); if ControlType==0 # Step input N = 50; # Number of small samples I = 1; # Number of large samples K_w = zeros(p_c.N_u,n_y); K_w(1,1) = 1; K_w(2,1) = -1; K_x = zeros(p_c.N_u,n_x); U = K_w*w; # Initial control U else # PPP control I = ceil(50/p_c.N); # Number of large samples tau = [10:0.1:11]*(2/a_u); # Time horizons [k_x,k_w,K_x,K_w] = ppp_lin(A,B,C,D,p_c.A_u,p_c.A_w,tau); # Design U = K_w*w # Initial control U ## Checks cl_poles = eig(A - B*k_x) endif ## Sample times dt = 0.1; delta = p_c.N*dt; ## Observer design Ad = expm(A*delta); # Discrete-time transition matrix if (ControlType==2) G = eye(n_x); # State noise gain sigma_x = eye(n_x); # State noise variance Sigma = p_o.sigma*eye(n_y); # Measurement noise variance L = dlqe(Ad,G,C,sigma_x,Sigma) else L = zeros(n_x,n_y); endif obs_poles = eig(Ad-L*C) ## Control loop y = []; u = []; t = []; y_e = []; t_e = []; for i=1:I i if Simulate t_sim = [0:p_c.N]*dt; [yi,ui,xsi] = ppp_ystar (A,B,C,D,x,p_c.A_u,U,t_sim); x = xsi(:,p_c.N+1); y_now = yi(:,p_c.N+1); else # The real thing to_rt(U'); # Send U data = from_rt(p_c.N); # Receive data [yi,ui] = convert_data(data); y_now = yi(:,p_c.N); # Current output endif ## Zero-gain (OL) observer with state resetting [x_est y_est] = ppp_int_obs (x_est,y_now,U,A,B,C,D,p_c.A_u,delta,L); # ## Reset states # x_est(2) = y_now(1); # Position # x_est(4) = y_now(2)/g_s; # Angle ##Control U = K_w*w- K_x*x_est; ## Save ti = [(i-1)*p_c.N:i*p_c.N-1]*dt; t = [t;ti']; y = [y;yi(:,1:p_c.N)']; u = [u;ui(:,1:p_c.N)']; y_e = [y_e; y_est']; t_e = [t_e; (i*p_c.N)*dt]; endfor ## Put data on file (so can use for identification) filename = sprintf("%s_ident_data.dat",Name); eval(sprintf("save -ascii %s t y u",filename)); ## Plot gset nokey title(""); boxed=0; monochrome=1; grid; xlabel("t"); ylabel("y"); figure(1);plot(t,y, t_e,y_e,"+"); # figfig("OL_y","eps",boxed,monochrome); ylabel("u"); figure(2);plot(t,u); # figfig("OL_u","eps",boxed,monochrome); endfunction |