ADDED mttroot/mtt/lib/control/PPP/ppp_RT.m Index: mttroot/mtt/lib/control/PPP/ppp_RT.m ================================================================== --- mttroot/mtt/lib/control/PPP/ppp_RT.m +++ mttroot/mtt/lib/control/PPP/ppp_RT.m @@ -0,0 +1,7 @@ +function [y,u] = ppp_RT (U) + + ## usage: [y,u] = ppp_RT (U) + ## + ## + +endfunction ADDED mttroot/mtt/lib/control/PPP/ppp_RT_sim.m Index: mttroot/mtt/lib/control/PPP/ppp_RT_sim.m ================================================================== --- mttroot/mtt/lib/control/PPP/ppp_RT_sim.m +++ mttroot/mtt/lib/control/PPP/ppp_RT_sim.m @@ -0,0 +1,19 @@ +function [y,u] = ppp_RT_sim (U) + + ## usage: [y,u] = ppp_RT_sim (U) + ## + ## U PPP weight (column vector) + + global system_name_sim i_ppp_sim x_0_sim y_sim u_sim A_u_sim + + + ## Data from previous time - last point not used + if length(y_sim)>0 # Avoid initial junk + [n_t_old,junk] = size(y_sim); + y = y_sim(1:n_t_old-1,:); u = u_sim(1:n_t_old-1,:); + else + y=[]; u=[]; + endif + +endfunction + ADDED mttroot/mtt/lib/control/PPP/ppp_RT_sim_compute.m Index: mttroot/mtt/lib/control/PPP/ppp_RT_sim_compute.m ================================================================== --- mttroot/mtt/lib/control/PPP/ppp_RT_sim_compute.m +++ mttroot/mtt/lib/control/PPP/ppp_RT_sim_compute.m @@ -0,0 +1,26 @@ +function ppp_RT_sim_compute (U) + + ## usage: [y,u] = ppp_RT_sim_compute (U) + ## + ## U PPP weight (column vector) + + global system_name_sim i_ppp_sim x_0_sim y_sim u_sim A_u_sim simpar_sim + + ## System details -- defines simulation within ol interval + par = eval(sprintf("%s_numpar;", system_name_sim)); + t = [0:simpar_sim.dt:simpar_sim.last]; + n_t = length(t); + [n_x,n_y,n_u] = eval(sprintf("%s_def;", system_name_sim)); + [n_U,junk] = size(A_u_sim); + + ## Set up u_star + u_star = ppp_ustar(A_u_sim,1,t,0,0,n_u-n_U); + + ## Simulate + par(i_ppp_sim(:,3)) = U; # Update the simulation ppp weights + [y_sim,x] = eval(sprintf("%s_sim(x_0_sim, par, simpar_sim, u_star);", \ + system_name_sim)); + x_0_sim = x(n_t,:)'; # Extract state for next time + u_sim = (u_star*U); +endfunction + ADDED mttroot/mtt/lib/control/PPP/ppp_nlin_run.m Index: mttroot/mtt/lib/control/PPP/ppp_nlin_run.m ================================================================== --- mttroot/mtt/lib/control/PPP/ppp_nlin_run.m +++ mttroot/mtt/lib/control/PPP/ppp_nlin_run.m @@ -0,0 +1,242 @@ +function [y,u,t,p,UU,t_open,t_ppp,t_est,its_ppp,its_est] = ppp_nlin_run (system_name,i_ppp,i_par,A_u,w_s,N_ol,extras) + + + ## usage: [y,u,t,p,U,t_open,t_ppp,t_est,its_ppp,its_est] = + ## ppp_nlin_run (system_name,i_ppp,i_par,A_u,w_s,N_ol[,extras]) + ## + ## y,u,t System output, input and corresponding time p + ## Estimated parameters U PPP weight vector t_open The + ## open-loop interval t_ppp Time for each ppp optimisation t_est + ## Time for each estimation i_ppp Matrix of ppp gain indices: col. + ## 1 Gain indices in sensitivity system col. 2 Gain sensitivity + ## indices in sensitivity system col. 3 Gain indices in system + ## i_par Matrix of indices of estimated parameters col. 1 Parameter + ## indices in sensitivity system col. 2 Parameter sensitivity + ## indices in sensitivity system col. 3 Parameter indices in system + ## A_u Basis function generating matrix w_s w_star: That part + ## of the moving horizon setpoint within the optimisation horizon. + ## N_ol The number of open-loop intervals to be computed extras + ## Extra parameters in a structure: extras.alpha ?? + ## extras.criterion Optimisation convergence criterion + ## extras.emulate_timing Simulate some real-time features + ## extras.estimate Estimate parameters and states + ## extras.max_iterations Maximum optimisation iterations + ## extras.simulate 1 for simulation (not real-time) extras.vInitial Levenberg-Marquardt parameter + ## extras.verbose 1 for extra info display + ## + ## Real-time implementatipn of nonlinear PPP Copyright (C) 2001,2002 + ## by Peter J. Gawthrop + + ## Globals to pass details to simulation + global system_name_sim i_ppp_sim x_0_sim y_sim u_sim A_u_sim simpar_sim + + ## Defaults + if nargin<7 + extras.alpha = 0.1; + extras.criterion = 1e-5; + extras.emulate_timing = 0; + extras.estimate = 1; + extras.max_iterations = 10; + extras.simulate = 1; + extras.v = 1e-5; + extras.verbose = 0; + endif + + ## Names + s_system_name = sprintf("s%s", system_name); + + ## System details -- defines simulation within ol interval + par = eval(sprintf("%s_numpar;", system_name)); + simpar = eval(sprintf("%s_simpar;", system_name)); + dt = simpar.dt; # Sample interval + simpar_est = simpar; # Initial estimation simulation params + simpar_model = simpar; # Initial internal model simulation params + simpar_pred = simpar; # Initial prediction simulation params + T_ol_0 = simpar.last; # The initial specified interval + n_t = round(simpar.last/simpar.dt); # Corresponding length + x_0 = eval(sprintf("%s_state(par);", system_name)); + x_0_model = x_0; + [n_x,n_y,n_u] = eval(sprintf("%s_def;", system_name)); + + ## Sensitivity system details -- defines moving horizon simulation + simpars = eval(sprintf("%s_simpar;", s_system_name)); + pars = eval(sprintf("%s_numpar;", s_system_name)); + x_0s = eval(sprintf("%s_state(pars);", s_system_name)); + + ## Times + ## -- within opt horizon + n_Tau = round(simpars.last/simpars.dt); + dtau = simpars.dt; + Tau = [0:n_Tau-1]'*dtau; + [n_tau,n_w] = size(w_s); + tau = Tau(n_Tau-n_tau+1:n_Tau); + w = w_s(n_tau,:); # Final value of setpoint + + + ## Main simulation loop + y = []; + x = []; + u = []; + t = []; + + p = []; + + t_last = 0; + UU = []; + UU_l =[]; + UU_c =[]; + + t_ppp = []; + t_est = []; + its_ppp = []; + its_est = []; + t_open = []; + x_nexts = zeros(2*n_x,1); + + ## Initial U is zero + [n_U,junk] = size(A_u); + U = zeros(n_U,1); + + ## Create input basis functions + u_star_tau = ppp_ustar(A_u,1,Tau',0,0,n_u-n_U); + + ## Reverse time to get "previous" U + U_old = U; + + if (extras.simulate==1) + ## Set up globals for simulation + system_name_sim = system_name; + i_ppp_sim = i_ppp; + x_0_sim = x_0; + y_sim = []; # Junk + u_sim = []; # Junk + A_u_sim = A_u; + simpar_sim = simpar; + T_total = simpar.last; + endif + + for i = 0:N_ol # Main loop + printf("%i",i); + if (extras.simulate==1) + [y_ol,u_ol] = ppp_RT_sim(U); # Simulate + else + [y_ol,u_ol] = ppp_RT(U); # Real thing + endif + + t_start = time; # Initialise time + + if (i==0) # Data is rubbish at i=0 - ignore + usleep(T_ol_0*1e6); # Hang about + else + ## Set up time information for the gathered data + n_ol = length(y_ol); # How many data points? + t_ol = [0:n_ol-1]'*dt; + T_ol = n_ol*dt; # Length of ol interval + t_open = [t_open;T_ol]; + + ## Generate input to actual system + u_star_t = ppp_ustar(A_u,1,t_ol',0,0,n_u-n_U); + + ## Tune parameters/states + if (extras.estimate==1) + ## Save up the estimated parameters + par_est = pars(i_par(:,1)); + p = [p; par_est']; + + ## Set up according to interval length + if (T_ol>T_ol_0) ## Truncate data + simpar_est.last = T_ol_0; + y_est = y_ol(1:n_t+1,:); + else + simpar_est.last = T_ol; + y_est = y_ol; + endif + + simpar_pred.last = T_ol_0; # Predicted length of next interval + pars(i_ppp(:,1)) = U_old; # Update the simulation ppp weights + + ## Optimise + tick = time; + [pars,Par,Error,Y,its] = \ + ppp_optimise(s_system_name,x_0s,pars,simpar_est,u_star_t,y_est,i_par,extras); + est_time = time-tick; + t_est = [t_est;est_time]; + its_est = [its_est; its-1]; + endif + + ## Update internal model + par(i_ppp(:,3)) = U_old; # Update the simulation ppp weights + + if (extras.estimate==1) + par(i_par(:,3)) = pars(i_par(:,1)); # Update the simulation params + endif + + simpar_model.last = T_ol; + [y_model,x_model] = eval(sprintf("%s_sim(x_0_model, par, simpar_model, \ + u_star_t);",system_name)); + + x_0 = x_model(n_ol+1,:)'; # Initial state of next interval + x_0_model = x_0; + + ## Compute U by optimisation + tick = time; + + ## Predict state at start of next interval + par(i_ppp(:,3)) = U; + [y_next,x_next] = eval(sprintf("%s_sim(x_0, par, simpar, \ + u_star_t);",system_name)); + x_next = x_next(n_t+1,:)'; # Initial state for next time + x_nexts(1:2:(2*n_x)-1) = x_next; + + ## Optimize for next interval + U_old = U; # Save previous value + U = expm(A_u*T_ol)*U; # Initialise from continuation trajectory + pars(i_ppp(:,1)) = U; # Put initial value of U into the parameter vector + [U, U_all, Error, Y, its] = ppp_nlin(system_name,x_nexts,pars,simpars,u_star_tau,w_s,i_ppp,extras); + + + ppp_time = time-tick; + t_ppp = [t_ppp;ppp_time]; + its_ppp = [its_ppp; its-1]; + + ## Total execution time + T_total = time - t_start; + if (extras.simulate==1)&&(extras.emulate_timing!=1) + printf("."); + T_diff = 0; # Always correct interval + else + T_diff = T_total - T_ol_0; # Compute difference + if T_diff<0 + printf("-"); + usleep(-T_diff*1e6); + T_total = time - t_start; + else + printf("+"); + endif + printf("%2.2f",T_total); + endif + T_total = simpar.dt*round(T_total/simpar.dt); # Whole no. of intervals + + pars(i_ppp(:,1)) = U; # Put final value of U into the parameter vector + + ## Save up data + y_ol = y_ol(1:n_ol,:); + y = [y; y_ol]; + u = [u; u_ol]; + UU = [UU; U']; + t = [t; t_ol+t_last*ones(n_ol,1) ]; + t_last = t_last + T_ol; + + endif + + + if (extras.simulate==1) # Do the actual simulation + if (extras.emulate_timing==1) # Emulate timing + simpar_sim.last = T_total; # simulate for actual execution time + endif + ppp_RT_sim_compute (U_old); + endif + + endfor + printf("\n"); +endfunction