📄 ex10_1.m
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%%%%%%%%%%%%%%%%% Example 10.1 %%%%%%%%%%%%%%%%%%
% 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 %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% ---- Controllability matrix ----
%
clear
disp('Example 10.1')
Ts = 0.1;
A = [0.81 -0.23 -0.045; % state matrix
0.09 0.98 -0.0023;
0.005 0.10 1 ];
B = [0.09 0.0047 0.00016]'; % input matrix
Co = ctrb(A,B) % controllability matrix
c_eig = rank(Co) % number of controllable eigenvalues
polesA = eig(A) % need these for example 10.3
[mag_p,theta_z] = xy2p(polesA);
%%%%%%%%%%
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