From 7f9719cc640a901e44e9be8dada9986449b88903 Mon Sep 17 00:00:00 2001 From: "Radu C. Martin" Date: Sat, 24 Apr 2021 12:16:36 +0200 Subject: [PATCH] Added MATLAB rewrite of the CARNOT optimisation function --- Simulink/gpCallback.m | 39 ++++ Simulink/gp_mpc_system.m | 150 +++++++++++++++ Simulink/gpr_model.mat | Bin 0 -> 1653595 bytes Simulink/mpc_simulink/casadi_block.m | 177 ++++++++++++++++++ Simulink/mpc_simulink/mpc_demo.slx | Bin 0 -> 30361 bytes Simulink/mpc_simulink/mpc_demo.slx.r2014b | Bin 0 -> 19539 bytes Simulink/polydome.slx.autosave | Bin 0 -> 56841 bytes .../polydome_fmu2cs_rtw/build_exception.mat | Bin 0 -> 1958 bytes Simulink/polydome_mpc.slx | Bin 0 -> 54410 bytes .../build_exception.mat | Bin 0 -> 2535 bytes Simulink/polydome_params.mat | Bin 0 -> 4650 bytes Simulink/test.mat | Bin 0 -> 5281 bytes Simulink/test_casadi_mpc.m | 10 + Simulink/weather_predictor.m | 79 ++++++++ Simulink/weather_predictor2.m | 8 + 15 files changed, 463 insertions(+) create mode 100644 Simulink/gpCallback.m create mode 100644 Simulink/gp_mpc_system.m create mode 100644 Simulink/gpr_model.mat create mode 100644 Simulink/mpc_simulink/casadi_block.m create mode 100644 Simulink/mpc_simulink/mpc_demo.slx create mode 100644 Simulink/mpc_simulink/mpc_demo.slx.r2014b create mode 100644 Simulink/polydome.slx.autosave create mode 100644 Simulink/polydome_fmu2cs_rtw/build_exception.mat create mode 100644 Simulink/polydome_mpc.slx create mode 100644 Simulink/polydome_mpc_fmu2cs_rtw/build_exception.mat create mode 100644 Simulink/polydome_params.mat create mode 100644 Simulink/test.mat create mode 100644 Simulink/test_casadi_mpc.m create mode 100644 Simulink/weather_predictor.m create mode 100644 Simulink/weather_predictor2.m diff --git a/Simulink/gpCallback.m b/Simulink/gpCallback.m new file mode 100644 index 0000000..180b34e --- /dev/null +++ b/Simulink/gpCallback.m @@ -0,0 +1,39 @@ +classdef gpCallback < casadi.Callback + properties + model + end + methods + function self = gpCallback(name) + self@casadi.Callback(); + construct(self, name, struct('enable_fd', true)); + end + + % Number of inputs and outputs + function v=get_n_in(self) + v=1; + end + function v=get_n_out(self) + v=1; + end + % Function sparsity + function v=get_sparsity_in(self, i) + v=casadi.Sparsity.dense(7, 1); + end + + % Initialize the object + function init(self) + disp('initializing gpCallback') + gpr = load('gpr_model.mat', 'model'); + self.model = gpr.model; + end + + % Evaluate numerically + function arg = eval(self, arg) + x = full(arg{1}); + % Transpose x since gp predictor takes row by row, and casadi gives + % colum by column + [mean, ~] = predict(self.model, x'); + arg = {mean}; + end + end +end \ No newline at end of file diff --git a/Simulink/gp_mpc_system.m b/Simulink/gp_mpc_system.m new file mode 100644 index 0000000..56a7a7b --- /dev/null +++ b/Simulink/gp_mpc_system.m @@ -0,0 +1,150 @@ +classdef gp_mpc_system < matlab.System & matlab.system.mixin.Propagates + % untitled Add summary here + % + % This template includes the minimum set of functions required + % to define a System object with discrete state. + + properties + % Control horizon + N = 0; + % Time Step + TimeStep = 0; + % Max Electrical Power Consumption + Pel = 6300; + + end + + properties (DiscreteState) + end + + properties (Access = private) + % Pre-computed constants. + casadi_solver + u_lags + y_lags + lbx + ubx + end + + methods (Access = protected) + function num = getNumInputsImpl(~) + num = 2; + end + function num = getNumOutputsImpl(~) + num = 1; + end + function dt1 = getOutputDataTypeImpl(~) + dt1 = 'double'; + end + function [dt1, dt2] = getInputDataTypeImpl(~) + dt1 = 'double'; + dt2 = 'double'; + end + function sz1 = getOutputSizeImpl(~) + sz1 = 1; + end + function sz1 = getInputSizeImpl(~) + sz1 = 1; + end + function cp1 = isInputComplexImpl(~) + cp1 = false; + end + function cp1 = isOutputComplexImpl(~) + cp1 = false; + end + function fz1 = isInputFixedSizeImpl(~) + fz1 = true; + end + function fz1 = isOutputFixedSizeImpl(~) + fz1 = true; + end + function setupImpl(obj,~,~) + % Implement tasks that need to be performed only once, + % such as pre-computed constants. + addpath('/home/radu/Media/MATLAB/casadi-linux-matlabR2014b-v3.5.5') + import casadi.* + + % Initialize CasADi callback + cs_model = gpCallback('model'); + + % Set up problem variables + T_set = 20; + n_states = 7; + + COP = 5; %cooling + EER = 5; %heating + + + obj.u_lags = [0]; + obj.y_lags = [23 23 23]; + + % Formulate the optimization problem + J = 0; % optimization objective + g = []; % constraints vector + + % Set up the symbolic variables + U = MX.sym('U', obj.N, 1); + W = MX.sym('W', obj.N, 2); + x0 = MX.sym('x0', 1, n_states - 3); + + % setup the first state + wk = W(1, :); + uk = U(1); % scaled input + xk = [wk, obj.Pel*uk, x0]; + yk = cs_model(xk); + J = J + (yk - T_set).^2; + + % Setup the rest of the states + for idx = 2:obj.N + wk = W(idx, :); + uk_1 = uk; uk = U(idx); + xk = [wk, obj.Pel*uk, obj.Pel*uk_1, yk, xk(5:6)]; + yk = cs_model(xk); + J = J + (yk - T_set).^2; + end + + p = [vec(W); vec(x0)]; + nlp_prob = struct('f', J, 'x', vec(U), 'g', g, 'p', p); + + + opts = struct; + %opts.ipopt.max_iter = 5000; + opts.ipopt.max_cpu_time = 15 * 60; + opts.ipopt.hessian_approximation = 'limited-memory'; + %opts.ipopt.print_level =0;%0,3 + opts.print_time = 0; + opts.ipopt.acceptable_tol =1e-8; + opts.ipopt.acceptable_obj_change_tol = 1e-6; + + solver = nlpsol('solver', 'ipopt', nlp_prob,opts); + + obj.casadi_solver = solver; + obj.lbx = -COP; + obj.ubx = EER; + end + + function u = stepImpl(obj,x,w) + import casadi.* + + %Update the y lags + obj.y_lags = [x, obj.y_lags(1:end-1)]; + + + real_p = vertcat(vec(DM(w)), vec(DM([obj.u_lags obj.y_lags]))); + disp("Starting optimization") + tic + %res = obj.casadi_solver('p', real_p, 'ubx', obj.ubx, 'lbx', obj.lbx); + t = toc; + disp(t) + u = obj.Pel * full(res.x(1)); + + % Update the u lags + obj.u_lags = [u, obj.u_lags(2:end-1)]; + + end + + function resetImpl(obj) + % Initialize discrete-state 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getNumOutputsImpl(~) + num = 1; + end + function dt1 = getOutputDataTypeImpl(~) + dt1 = 'double'; + end + function dt1 = getInputDataTypeImpl(~) + dt1 = 'double'; + end + function sz1 = getOutputSizeImpl(~) + sz1 = [1,1]; + end + function sz1 = getInputSizeImpl(~) + sz1 = [1,1]; + end + function cp1 = isInputComplexImpl(~) + cp1 = false; + end + function cp1 = isOutputComplexImpl(~) + cp1 = false; + end + function fz1 = isInputFixedSizeImpl(~) + fz1 = true; + end + function fz1 = isOutputFixedSizeImpl(~) + fz1 = true; + end + function setupImpl(obj,~,~) + % Implement tasks that need to be performed only once, + % such as pre-computed constants. + + import casadi.* + + T = 10; % Time horizon + N = 20; % number of control intervals + + % Declare model variables + x1 = SX.sym('x1'); + x2 = SX.sym('x2'); + x = [x1; x2]; + u = SX.sym('u'); + + % Model equations + xdot = [(1-x2^2)*x1 - x2 + u; x1]; + + % Objective term + L = x1^2 + x2^2 + u^2; + + % Continuous time dynamics + f = casadi.Function('f', {x, u}, {xdot, L}); + + % Formulate discrete time dynamics + % Fixed step Runge-Kutta 4 integrator + M = 4; % RK4 steps per interval + DT = T/N/M; + f = Function('f', {x, u}, {xdot, L}); + X0 = MX.sym('X0', 2); + U = MX.sym('U'); + X = X0; + Q = 0; + for j=1:M + [k1, k1_q] = f(X, U); + [k2, k2_q] = f(X + DT/2 * k1, U); + [k3, k3_q] = f(X + DT/2 * k2, U); + [k4, k4_q] = f(X + DT * k3, U); + X=X+DT/6*(k1 +2*k2 +2*k3 +k4); + Q = Q + DT/6*(k1_q + 2*k2_q + 2*k3_q + k4_q); + end + F = Function('F', {X0, U}, {X, Q}, {'x0','p'}, {'xf', 'qf'}); + + % Start with an empty NLP + w={}; + w0 = []; + lbw = []; + ubw = []; + J = 0; + g={}; + lbg = []; + ubg = []; + + % "Lift" initial conditions + X0 = MX.sym('X0', 2); + w = {w{:}, X0}; + lbw = [lbw; 0; 1]; + ubw = [ubw; 0; 1]; + w0 = [w0; 0; 1]; + + % Formulate the NLP + Xk = X0; + for k=0:N-1 + % New NLP variable for the control + Uk = MX.sym(['U_' num2str(k)]); + w = {w{:}, Uk}; + lbw = [lbw; -1]; + ubw = [ubw; 1]; + w0 = [w0; 0]; + + % Integrate till the end of the interval + Fk = F('x0', Xk, 'p', Uk); + Xk_end = Fk.xf; + J=J+Fk.qf; + + % New NLP variable for state at end of interval + Xk = MX.sym(['X_' num2str(k+1)], 2); + w = {w{:}, Xk}; + lbw = [lbw; -0.25; -inf]; + ubw = [ubw; inf; inf]; + w0 = [w0; 0; 0]; + + % Add equality constraint + g = {g{:}, Xk_end-Xk}; + lbg = [lbg; 0; 0]; + ubg = [ubg; 0; 0]; + end + + % Create an NLP solver + prob = struct('f', J, 'x', vertcat(w{:}), 'g', vertcat(g{:})); + options = struct('ipopt',struct('print_level',0),'print_time',false); + solver = nlpsol('solver', 'ipopt', prob, options); + + obj.casadi_solver = solver; + obj.x0 = w0; + obj.lbx = lbw; + obj.ubx = ubw; + obj.lbg = lbg; + obj.ubg = ubg; + end + + function u = stepImpl(obj,x,t) + disp(t) + tic + w0 = obj.x0; + lbw = obj.lbx; + ubw = obj.ubx; + solver = obj.casadi_solver; + lbw(1:2) = x; + ubw(1:2) = x; + sol = solver('x0', w0, 'lbx', lbw, 'ubx', ubw,... + 'lbg', obj.lbg, 'ubg', obj.ubg); + + u = full(sol.x(3)); + toc + end + + function resetImpl(obj) + % Initialize discrete-state properties. + end + end +end diff --git a/Simulink/mpc_simulink/mpc_demo.slx b/Simulink/mpc_simulink/mpc_demo.slx new file mode 100644 index 0000000000000000000000000000000000000000..6d54e379ce4be2cbb777d828338b0ee72351e30c GIT binary patch literal 30361 zcmaI6Q;=xk(j?lpZQHhO+qP}nwr$(CciXnD-F^3&8~4VXeMJ6w?v(Uw(cOuL&L@PU`!Y9Y?n+G=sOmV&dIYF%0Bac|VxH_`p@m5iM#fI0T z4v0ZNvzaF#)b|mM<(4GOa)O10lNlg=!MN)qhxbUwV&F>#2-i3drYu9SQkX>-ZvAq+ zaiJBj>L-pa&%%q^L9ZDtq5&;R4iKa!^V}aZK_ZB6I!Yx zHNFR-RHbv(A|=m+W<2F7`eie6C7wxEb~y0W#VTkZ_rA0JAz+HBArvqPLV)VfC$aQz z%WhyDbI=*_YO1_LoF#BrC&We6Ma?8$FfvGj{f0x zuH?qRATuSENO}k*xN8s_VjVp^`4s`^Lj8Z%)KBHS+??}E4yr$Yigs4!YD45?Pu}pE z+dl5({D2hxi$dgw_5enJ002gy009431fcI^YU4~#_n&v^vZ8!20|NMcz0fBgR0jsD zv3Dk!Hv=OV|3K|_L10_S&GzdJEf#Kr(YjB_(a#&SdIl|A5fq;ScAbgTAp;ShR2dW9 zQ%X;LKAAfS1DXj~YEniLF%}ZdX|sCGKo_3!{U!*VNLC8U>MDE+mRbP-aurr-wM{CT 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matlab.System + % untitled Add summary here + % + % This template includes the minimum set of functions required + % to define a System object with discrete state. + + % Public, tunable properties + properties + + end + + % Public, tunable properties + properties(Nontunable) + TimeStep = 0; + N = 0; + end + + properties(DiscreteState) + + end + + % Pre-computed constants + properties(Access = private) + + end + + methods(Access = protected) + function num = getNumInputsImpl(~) + num = 2; + end + function num = getNumOutputsImpl(~) + num = 1; + end + function dt1 = getOutputDataTypeImpl(~) + dt1 = 'double'; + end + function [dt1, dt2] = getInputDataTypeImpl(~) + dt1 = 'double'; + dt2 = 'double'; + end + function sz1 = getOutputSizeImpl(obj) + sz1 = [obj.N 2]; + end + function sz1 = getInputSizeImpl(~) + sz1 = 1; + end + function cp1 = isInputComplexImpl(~) + cp1 = false; + end + function cp1 = isOutputComplexImpl(~) + cp1 = false; + end + function fz1 = isInputFixedSizeImpl(~) + fz1 = true; + end + function fz1 = isOutputFixedSizeImpl(~) + fz1 = true; + end + + + function setupImpl(~, ~, ~) + disp('Hello World') + % Perform one-time calculations, such as computing constants + end + + function w = stepImpl(obj,wdb_mat,timestamp) + disp(timestamp) + % Implement algorithm. Calculate y as a function of input u and + % discrete states. + curr_idx = find(wdb_mat(:, 1) == timestamp); + N_idx = (1:obj.N) + curr_idx; + w = [wdb_mat(N_idx, 18) + wdb_mat(N_idx, 19), wdb_mat(N_idx, 7)]; + end + + function resetImpl(obj) + % Initialize / reset discrete-state properties + end + end +end diff --git a/Simulink/weather_predictor2.m b/Simulink/weather_predictor2.m new file mode 100644 index 0000000..f890417 --- /dev/null +++ b/Simulink/weather_predictor2.m @@ -0,0 +1,8 @@ +function w = weather_predictor2(wdb_mat,timestamp, N) +%WEATHER_PREDICTOR2 Summary of this function goes here +% Detailed explanation goes here +curr_idx = find(wdb_mat(:, 1) == timestamp); +N_idx = (1:N) + curr_idx; +w = [wdb_mat(N_idx, 18) + wdb_mat(N_idx, 19), wdb_mat(N_idx, 7)]; + +end \ No newline at end of file

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