📄 reinf10_6.m
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%%%%%%%%%%% Reinforcement Problem 10.6 %%%%%%%%%%
% Discrete-Time Control Problems using %
% MATLAB and the Control System Toolbox %
% by J.H. Chow, D.K. Frederick, & N.W. Chbat %
% Brooks/Cole Publishing Company %
% September 2002 %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% ---- Lightly-damped modes ----
%
clear
disp('Reinforcement Problem 10.6')
A = [ 0.9641 0.2462 0.0303
-0.2462 0.9641 0.1934
0 0 0.6065]
B = [ 0.0056; 0.0528; 0.3935]
%
disp('Low gain feedback control gain')
p1 = [0.9453*exp(j*0.250); 0.9453*exp(-j*0.250); 0.5762]
F1 = place(A,B,p1)
A_cl_1 = A-B*F1
diff1 = sort(p1) - sort(eig(A_cl_1))
norm(F1)
disp('******>')
pause
disp('High gain feedback control gain')
p2 = [0.1; 0.2; 0.3]
F2 = place(A,B,p2)
A_cl_2 = A-B*F2
diff2 = sort(p2) - sort(eig(A_cl_2))
norm(F2)
%%%%%%%%%%
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