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-rw-r--r--uav.m44
-rw-r--r--uav_model.m12
2 files changed, 49 insertions, 7 deletions
diff --git a/uav.m b/uav.m
index ec84682..62f6543 100644
--- a/uav.m
+++ b/uav.m
@@ -116,7 +116,51 @@ end
%% Perform mu-Analysis & DK iteration
if do_musyn
+ fprintf('Performing mu-synthesis controller design...\n')
+ idx = model.uncertain.index;
+ P = model.uncertain.StateSpace([idx.OutputUncertain; idx.OutputError; idx.OutputNominal], ...
+ [idx.InputUncertain; idx.InputExogenous; idx.InputNominal]);
+
+ % Initial values for D-K iteration
+ D_left = eye(model.uncertain.Nz + model.uncertain.Ne + model.uncertain.Ny);
+ D_right = eye(model.uncertain.Nv + model.uncertain.Nw + model.uncertain.Nu);
+
+ % Options for H-infinity
+ nmeas = model.uncertain.Ny;
+ nctrl = model.uncertain.Nu;
+ hinfopt = hinfsynOptions('Display', 'on', 'Method', 'RIC', ...
+ 'AutoScale', 'off', 'RelTol', 1e-3);
+
+ % Number of D-K iterations
+ niters = 4;
+
+ % Frequency raster resolution to fit D scales
+ nsamples = 51;
+ omega = logspace(-2, 2, nsamples);
+
+ % Start DK-iteration
+ for it = 1:niters
+ fprintf(' - Running D-K iteration %d ...\n', it);
+
+ % Find controller using H-infinity
+ [K, ~, gamma, ~] = hinfsyn(D_left * P * D_right, nmeas, nctrl);
+ fprintf(' H-infinity synthesis gamma: %g\n', gamma);
+
+ % Calculate frequency response of closed loop
+ N = minreal(lft(P, K), [], false); % slient
+ N_frd = frd(N, omega);
+
+ % Calculate upper bound D scaling
+ [mu_bounds, mu_info] = mussv(N_frd, model.uncertain.BlockStructurePerf, 'sU');
+ mu_rp = norm(mu_bounds(1,1), inf, 1e-6);
+ fprintf(' Mu value for RP: %g\n', mu_rp)
+
+ % Fit D-scales
+ [dsysl, dsysr] = mussvunwrap(mu_info);
+ D_left = fitfrd(genphase(dsysl(1,1)), 1);
+ D_right = fitfrd(genphase(dsysr(1,1)), 1);
+ end
end
% ------------------------------------------------------------------------
diff --git a/uav_model.m b/uav_model.m
index 0af0818..0ec9a67 100644
--- a/uav_model.m
+++ b/uav_model.m
@@ -318,16 +318,14 @@ usys = ss(ulmod.a, ulmod.b, ulmod.c, ulmod.d);
% Specify uncertainty block structure for mussv command
blk_stab = [
- 4, 0; % alpha
- 1, 0; % omega
- 12, 12; % state
+ 4, 0; % alpha uncert, diagonal
+ 1, 0; % omega uncert, diagonal
+ 12, 12; % state uncert, full
];
blk_perf = [
- 4, 0; % alpha
- 1, 0; % omega
- 3, 3; % position
- 3, 3; % velocity
+ blk_stab;
+ 10, 14;
];
% Save uncertain model