EE443: SIMULATED STEP RESPONSE FOR SATELLITE MODELED IN STATE VARIABLE FORM

%
% Filename: example8.m
%
% Description: m-file to simulate satellite response to step input.
%

clear; clf;

A = [0 1;0 0];              % Define System Matrices
B = [0;0.2];
C = [1 0];
D = [0];
x0 = [0;0];                 % Initial Conditions

p = [-4+j*5; -4-j*5];       % Desired Pole Location
K = acker(A,B,p);           % Compute Feedback Matrix K

t = 0:0.01:1.5;
xd1 = (pi/2)*ones(size(t)); % Reference input

[y,x] = lsim((A-B*K), K(1)*B, C, D, xd1, t, x0); % Simulate Response
plot(t,y);
xlabel('time ') ; ylabel('x_{1}(t)');
title('Satellite Orientation');
hold on; plot(t,xd1,'--'); hold off;