Example of Parallel Connection of Two State Space Models Using MATLAB

First, define the four matrices for each model, then use parallel() to connect the two systems in parallel, and finally call step() to test the system’s output curve.

%% Example of connecting two state space systems in parallel

%% parallel()

%%%%%%%%%%%

clear all;

clc;

close all;

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

%%% System 1

A1=[-1.1 -1.3;

0.5 -1.5];

B1=[1;0];

C1=[1.2 1.4];

D1=[0.6];

%%% System 2

A2=[-1.3 0.4;

-1.5 -1.8];

B2=[0;1];

C2=[1.2 0.4];

D2=[0.4];

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

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

t1=0:0.01:40;

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

figure(1);

plot(t3,y3,’b-‘);

title(‘Parallel Output’);

xlabel(‘t(s)’);

ylabel(‘y’);

legend(‘Parallel Output’);

grid on;

grid on;

%%%%

disp(‘End.’);