Example of State Space Model Series Connection Using MATLAB

First, write out the four matrices of the two systems separately, then call series() to connect the two systems, and finally test the step signal output result of the connected system.

% State space model connection

% series()

%%%%%%%%%%%

clear all;

clc;

close all;

%%%%%%%%%%%%%

%%% System 1

A1=[-2.2 -2.3;

0.6 -3.5];

B1=[1;0];

C1=[1.5 1.2];

D1=[0.5];

%%% System 2

A2=[-1.2 0.3;

-1.4 -2.5];

B2=[0;1];

C2=[1.8 0.6];

D2=[1.5];

[A3,B3,C3,D3]=series(A1,B1,C1,D1,A2,B2,C2,D2);

sys3=ss(A3,B3,C3,D3);

t1=0:0.01:30;

[y3,t3]=step(sys3,t1);

figure(1);

plot(t3,y3,’b-‘);

title(‘Connected Output’);

xlabel(‘t(s)’);

ylabel(‘y’);

legend(‘Connected Output’);

grid on;

grid on;

%%%%

disp(‘End.’);