## Copyright (C) 2018 Jens Ahrensfeld ## ## This program is free software; you can redistribute it and/or modify it ## under the terms of the GNU General Public License as published by ## the Free Software Foundation; either version 3 of the License, or ## (at your option) any later version. ## ## This program is distributed in the hope that it will be useful, ## but WITHOUT ANY WARRANTY; without even the implied warranty of ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ## GNU General Public License for more details. ## ## You should have received a copy of the GNU General Public License ## along with this program. If not, see . ## Author: Jens Ahrensfeld ## Created: 2018-02-08 function brew_eval(varargin) % % brew_eval('M', 20.0, 'cont_ctrl', 1, 'kp', 2.0, 'ki', 0.02, 'kd', 400, 'T', 1800, 'mass_kleak', 0.5, 'P_q', 100, 'mass_delay', 60, 'dt', 1.00, [30 50 70]); WITH_RATE_CONTROLLER = 1; WITH_HYST = 0.0; params = struct ('cont_ctrl',0, 'C',4.19e3, 'M',10, 'mass_kleak',0.5, 'mass_delay',50, 'P_min', 0, 'P_max',3000, 'P_q',100, 'T',100, 'dt',1.0, 'Td',10.0, 'theta_lock', 0.5, 'theta_amb',20.0, 'kp',10, 'ki',0.04, 'kd',500, 'pid_kleak',0.001, 'k_noise', 0.0, 'heatrate', 1.0); units = struct ('cont_ctrl', '', 'C', 'J/(kg*K)', 'M', 'kg', 'mass_kleak', '', 'mass_delay', 's', 'P_min', 'W', 'P_max', 'W', 'P_q','W', 'T', 's', 'dt', 's', 'Td', 's', 'theta_lock', '°C', 'theta_amb', '°C', 'kp', '', 'ki', '', 'kd', '', 'pid_kleak', '', 'k_noise', '', 'heatrate', '°C/min'); % Parse parameters names = fieldnames(params); varargin for k=1:nargin-1, for n=1:length(names), if strcmpi(varargin{k}, names{n}) params.(names{n}) = varargin{k+1}; end end end print_parameters(params) s_mass = 0; s_pid = []; s_pid_rate = []; theta_ist = params.theta_amb; theta_last = params.theta_amb; thetas = varargin{nargin} heatRate = 0; heatRateMeasureInterval = 1.0; % seconds heatRateMeasureCount = 0; % seconds n = 0; nSteps = params.P_max / params.P_q; N = 2*fix(length(thetas)*params.T/params.dt); P_cont = 0; y_rate = 0; y = 0; stbl_rate_z = []; stbl_hold_z = []; ovenState = 'HOLD'; controllerState = 'TRK'; curr = struct('kp', 0, 'ki', 0, 'kd', 0); curr_rate = struct('kp', 0, 'ki', 0, 'kd', 0); err0_hold = 0; err0_rate = 0; a_err = 0.5; P_max = 0; heatRate_soll = 0; for k=1:length(thetas) theta_soll = thetas(k); hold_theta = 0; P_max = 0; printf('%d: Target temperatur %d °C\n', k, theta_soll); while n < N, err1 = theta_ist - theta_soll; err1_rate = heatRate - heatRate_soll; err0_hold = (1-a_err)*err0_hold + a_err*err1; err0_rate = (1-a_err)*err0_rate + a_err*err1_rate; [err_rate_stbl, stbl_rate_z] = isStable(stbl_rate_z, err0_rate, 0.05); [err_hold_stbl, stbl_hold_z] = isStable(stbl_hold_z, err0_hold, 0.05); ovenState_n = ovenState; controllerState_n = controllerState; switch ovenState case {'HEAT'} heatRate_soll = params.heatrate; curr_rate.kp = 4.0; curr_rate.ki = 0.02; curr_rate.kd = 4.0; P_max = 0.5*P_max + 0.5*P_cont; switch controllerState case {'ACQ'} if err_rate_stbl && (abs(err0_rate) < 0.1) controllerState_n = 'TRK'; end case {'TRK'} curr_rate.kp = 8.0; curr_rate.ki = 0.03; curr_rate.kd = 8.0; if abs(err0_rate) > 0.5 controllerState_n = 'ACQ'; end endswitch if abs(err0_hold) < 1.0 ovenState_n = 'HOLD'; controllerState_n = 'ACQ'; end case {'HOLD'} heatRate_soll = 0; curr.kp = params.kp; curr.ki = params.ki; curr.kd = params.kd; switch controllerState case {'ACQ'} if err_hold_stbl && (abs(err0_hold) < 0.1) controllerState_n = 'TRK'; end case {'TRK'} curr.kp = params.kp; curr.ki = params.ki; curr.kd = params.kd; if abs(err0_hold) > 0.2 controllerState_n = 'ACQ'; end endswitch if err0_hold < -1.0 if WITH_RATE_CONTROLLER ovenState_n = 'HEAT'; end controllerState_n = 'ACQ'; end endswitch if strcmp(controllerState, controllerState_n) == 0 || strcmp(ovenState, ovenState_n) == 0 printf('%d: State %s::%s -> %s::%s\n', n, ovenState, controllerState, ovenState_n, controllerState_n); end ovenState = ovenState_n; controllerState = controllerState_n; % Hold controller if strcmp(ovenState, 'HEAT') [y, yc, s_pid] = jpid(s_pid, curr_rate.kp, curr_rate.ki*params.dt, curr_rate.kd/params.dt, 1-params.pid_kleak, -err0_rate); P_cont = max(params.P_min, min(params.P_max, params.P_max*y)); s_pid.y_max = 80; else [y, yc, s_pid] = jpid(s_pid, curr.kp, curr.ki*params.dt, curr.kd/params.dt, 1-params.pid_kleak, -err0_hold); P_cont = max(params.P_min, min(P_max, params.P_max*y)); s_pid.y_max = 80; end P_cont_q = fix(P_cont/params.P_q + 0.5)*params.P_q; if params.cont_ctrl P = P_cont_q; else duty = mod(n*params.dt/params.Td*params.P_max, params.P_max); heat = (duty < P_cont_q); P = params.P_max * heat; end [theta, s_mass] = mass(s_mass, params.dt, params.C, params.M, params.mass_kleak, P, params.mass_delay, theta_ist-params.theta_amb); theta_ist = params.theta_amb + theta + params.k_noise*randn()/sqrt(12); if heatRateMeasureCount <= 0 heatRate = 60*(theta_ist-theta_last)/heatRateMeasureInterval; heatRateMeasureCount = heatRateMeasureInterval; theta_last = theta_ist; end heatRateMeasureCount = heatRateMeasureCount - params.dt; n = n + 1; theta_ist = theta_ist; heatRate_(n) = heatRate; theta_(n) = theta_ist; err_(n) = err0_hold; p_(n) = P; pc_(n) = P_cont; pcq_(n) = P_cont_q; y_(n) = y; y_rate_(n) = y_rate; err_rate_(n) = err0_rate; if hold_theta > 0 hold_theta = hold_theta - 1; if hold_theta == 0 break; end elseif abs(err0_hold) < params.theta_lock hold_theta = params.T/params.dt; end end end close all; t = (0:n-1)*params.dt; subplot(3,1,1) plot(t, theta_); grid; xlabel('t/s'); ylabel('Theta/°'); title('Temperature'); subplot(3,1,2) plot(t, p_, 'b-', t, pcq_, 'g-', t, pc_, 'r-'); grid; xlabel('t/s'); ylabel('P/W'); title('Power Control'); legend('P','y','P_{cont}'); subplot(3,1,3) plot(t, err_, t, err_rate_); grid; xlabel('t/s'); ylabel('err/K'); title('Error'); legend('Error_{Hold}', 'Error_{Rate}'); figure; subplot(3,1,1) plot(t, heatRate_); grid; xlabel('t/s'); ylabel('Theta/°'); title('Heat_{rate}'); subplot(3,1,2) plot(t, y_rate_); grid; xlabel('t/s'); ylabel('Theta/°'); title('y_{rate}'); subplot(3,1,3) plot(t, err_rate_); grid; xlabel('t/s'); ylabel('Theta/°'); title('Error_{rate}'); function [theta, s] = mass(si, dt, C, M, L, P, Td, dTheta) s = si; if ~isstruct(si) alpha = 1.0; if Td > 0 alpha = dt/Td; end s = struct('e', 0, 'a', alpha, 'x', 0, 'gain', 0.8); end s.e = s.e * (1-((L*(0+dTheta))*dt)/(M*C)); s.x = (1-s.a)*s.x + s.gain*s.a*P*dt; s.e = s.e + s.x; theta = s.e/(M*C); endfunction function [y, z] = isStable(zi, v, maxErr) z = zi; if ~isstruct(zi) z = struct('v', 0, 'cnt', 3, 'cnt_reload', 3); end if z.cnt > 0 z.cnt = z.cnt - 1; endif if abs(v - z.v) <= maxErr z.cnt = z.cnt_reload; endif y = (z.cnt == 0); endfunction function print_parameters(params) align = 32; names = fieldnames(params); for n=1:length(names), fprintf('%s', names{n}); remain = align - length(names{n}); if remain < 0 error('Invalid variable length!'); else for j=1:remain fprintf(' '); end fprintf('= %g %s\n', params.(names{n}), units.(names{n})); end end endfunction endfunction