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authorNao Pross <np@0hm.ch>2024-05-13 16:42:23 +0200
committerNao Pross <np@0hm.ch>2024-05-13 16:50:52 +0200
commit86f87bd7997105572c44f74714f9b03c2f7ea4fe (patch)
tree17056cdb4082bad75f472354734578b1755e07d5
parentAdd datasheets (diff)
downloaduav-86f87bd7997105572c44f74714f9b03c2f7ea4fe.tar.gz
uav-86f87bd7997105572c44f74714f9b03c2f7ea4fe.zip
Prepare structure for endterm
-rw-r--r--uav.m108
-rw-r--r--uav_model.m2
-rw-r--r--uav_performance.m (renamed from uav_requirements.m)4
-rw-r--r--uav_uncertainty.m28
4 files changed, 82 insertions, 60 deletions
diff --git a/uav.m b/uav.m
index e5f49b2..c646de2 100644
--- a/uav.m
+++ b/uav.m
@@ -12,39 +12,27 @@ fprintf('Generating system parameters...\n')
params = uav_params();
ctrl = struct();
+% Flags to speed up running for debugging
do_plots = true;
+do_lqr = false; % unused
+do_hinf = false; % midterm
+do_musyn = true; % endterm
% ------------------------------------------------------------------------
%% Define performance requirements
-fprintf('Generating performance requirements...\n')
-perf = uav_requirements(params, do_plots);
+if do_hinf | do_musyn
+ fprintf('Generating performance requirements...\n')
+ perf = uav_performance(params, do_plots);
+end
% ------------------------------------------------------------------------
%% Define stability requirements
-W_malpha = tf(1,1);
-W_momega = tf(1,1);
-W_mState = tf(1,1);
-
-% if do_plots
-% figure; hold on;
-%
-% bodemag(W_malpha);
-% bodemag(W_momega);
-% bodemag(W_mState);
-%
-% grid on;
-% legend('$W_{m,\alpha}$', '$W_{m,\omega}$', ...
-% '$W_{m,\Theta}$', '$W_{m,\Omega}$', ...
-% 'Interpreter', 'latex', 'fontSize', 8);
-% title('Uncertainties')
-% end
-
-uncert = struct(...
- 'FlapAngle', W_malpha * eye(4), ...
- 'Thrust', W_momega, ...
- 'StateLinApprox', W_mState * eye(12));
+if do_musyn
+ fprintf('Generating stability requirements...\n')
+ uncert = uav_uncertainty(params, do_plots);
+end
% ------------------------------------------------------------------------
%% Create UAV model
@@ -55,52 +43,61 @@ model = uav_model(params, perf, uncert);
% ------------------------------------------------------------------------
%% Perform LQR design
-% fprintf('Performing LQR controller design...\n')
-% ctrl.lqr = uav_ctrl_lqr(params, model);
+if do_lqr
+ fprintf('Performing LQR controller design...\n')
+ ctrl.lqr = uav_ctrl_lqr(params, model);
+end
% ------------------------------------------------------------------------
%% Perform H-infinity design
-fprintf('Performing H-infinty controller design...\n')
+if do_hinf
+ fprintf('Performing H-infinty controller design...\n')
-idx = model.uncertain.index;
-P = model.uncertain.StateSpace;
+ idx = model.uncertain.index;
+ P = model.uncertain.StateSpace;
-% Get nominal system without uncertainty (for lower LFT)
-P_nom = minreal(P([idx.OutputError; idx.OutputNominal], ...
- [idx.InputExogenous; idx.InputNominal]));
+ % Get nominal system without uncertainty (for lower LFT)
+ P_nom = minreal(P([idx.OutputError; idx.OutputNominal], ...
+ [idx.InputExogenous; idx.InputNominal]));
-nmeas = max(size(idx.OutputNominal)); % size of y
-nctrl = max(size(idx.InputNominal)); % size of u
+ nmeas = max(size(idx.OutputNominal)); % size of y
+ nctrl = max(size(idx.InputNominal)); % size of u
-hinfopt = hinfsynOptions('Display', 'on', 'Method', 'RIC', ...
- 'AutoScale', 'off', 'RelTol', 1e-3);
-[K_inf, ~, gamma, info] = hinfsyn(P_nom, nmeas, nctrl, hinfopt);
-ctrl.hinf = struct('Name', '$\mathcal{H}_{\infty}$', 'K', K_inf);
+ hinfopt = hinfsynOptions('Display', 'on', 'Method', 'RIC', ...
+ 'AutoScale', 'off', 'RelTol', 1e-3);
+ [K_inf, ~, gamma, info] = hinfsyn(P_nom, nmeas, nctrl, hinfopt);
+ ctrl.hinf = struct('Name', '$\mathcal{H}_{\infty}$', 'K', K_inf);
-if gamma >= 1
- fprintf('Failed to syntesize controller (closed loop is unstable).\n')
-end
+ if gamma >= 1
+ fprintf('Failed to syntesize controller (closed loop is unstable).\n')
+ end
% ------------------------------------------------------------------------
-%% Measure Performance
+%% Measure Performance of H-infinity design
-fprintf('Simulating closed loop...\n');
+ fprintf('Simulating closed loop...\n');
-nsamples = 500;
-do_noise = true;
-% uav_sim_step(params, model, ctrl.lqr, nsamples, do_plots);
+ nsamples = 500;
+ do_noise = true;
+ simout = uav_sim_step_hinf(params, model, ctrl.hinf, nsamples, do_plots, do_noise);
-simout = uav_sim_step_hinf(params, model, ctrl.hinf, nsamples, do_plots, do_noise);
+ fprintf('Writing simulation results...\n');
+ cols = [
+ simout.StepX(:, simout.index.Position), ...
+ simout.StepX(:, simout.index.Velocity), ...
+ simout.StepX(:, simout.index.FlapAngles) * 180 / pi, ...
+ simout.StepX(:, simout.index.Angles) * 180 / pi];
-fprintf('Writing simulation results...\n');
-cols = [
- simout.StepX(:, simout.index.Position), ...
- simout.StepX(:, simout.index.Velocity), ...
- simout.StepX(:, simout.index.FlapAngles) * 180 / pi, ...
- simout.StepX(:, simout.index.Angles) * 180 / pi];
+ writematrix([simout.TimeXY', cols], 'fig/stepsim.dat', 'Delimiter', 'tab')
+end
+
+% ------------------------------------------------------------------------
+%% Perform mu-Analysis & DK iteration
-writematrix([simout.TimeXY', cols], 'fig/stepsim.dat', 'Delimiter', 'tab')
+if do_musyn
+
+end
% ------------------------------------------------------------------------
%% Verify performance satisfaction via mu-analysis
@@ -134,7 +131,4 @@ writematrix([simout.TimeXY', cols], 'fig/stepsim.dat', 'Delimiter', 'tab')
% title('$\mu_\Delta(N)$', 'Interpreter', 'latex');
% end
-% ------------------------------------------------------------------------
-% Perform mu-Analysis & DK iteration
-
% vim: ts=2 sw=2 et:
diff --git a/uav_model.m b/uav_model.m
index 4fddae9..3b691f4 100644
--- a/uav_model.m
+++ b/uav_model.m
@@ -11,7 +11,7 @@
% * A uncertain linear model built atop of the linear model using SIMULINK.
% The uncertain model contains the performance and weighting transfer
% function given in the arguments perf and params, and is stored in the
-% SIMULINK fil euav_model_uncertain.xls.
+% SIMULINK file uav_model_uncertain.xls.
%
% [MODEL] = UAV_MODEL(PARAMS, PERF, UNCERT)
%
diff --git a/uav_requirements.m b/uav_performance.m
index 9ccaeea..4857a34 100644
--- a/uav_requirements.m
+++ b/uav_performance.m
@@ -10,10 +10,10 @@
% performance transfer function
%
% Return value:
-% MODEL Struct performance transfer functions
+% PERF Struct performance transfer functions
-function [perf] = uav_requirements(params, plot)
+function [perf] = uav_performance(params, plot)
% Laplace variable
s = tf('s');
diff --git a/uav_uncertainty.m b/uav_uncertainty.m
new file mode 100644
index 0000000..e1ddf76
--- /dev/null
+++ b/uav_uncertainty.m
@@ -0,0 +1,28 @@
+% Generate transfer functions for loop shaping stability (uncertainty)
+% requirements from parameters specified in uav_params.m
+%
+% Copyright (C) 2024, Naoki Sean Pross, ETH Zürich
+% This work is distributed under a permissive license, see LICENSE.txt
+%
+% Arguments:
+% PARAMS Struct of design parameters and constants generated by uav_params
+% PLOT When set to 'true' it plots the inverse magnitude of the
+% performance transfer function
+%
+% Return value:
+% UNCERT Struct of uncertainty transfer functions
+
+
+function [uncert] = uav_performance(params, plot)
+
+W_malpha = tf(1,1);
+W_momega = tf(1,1);
+W_mState = tf(1,1);
+
+uncert = struct(...
+ 'FlapAngle', W_malpha * eye(4), ...
+ 'Thrust', W_momega, ...
+ 'StateLinApprox', W_mState * eye(12));
+
+end
+% vim: ts=2 sw=2 et: