converting multiple ss model to single ss model

i have four state space model of one input and four output, i want to know how to convert four ss to single ss that represent those four ss model????

Answer 1

[Arkadiy Turevskiy]

If I understand correctly, you have 4 state-space systems, where each system has 1 input and 1 output. You want to create one state space system that describes the relationship between this one input and 4 outputs.

If that is the case, then all you do is:

sys=[sys1;sys2;sys3;sys4];

where sys1,sys2,sys3,sys4 are state space systems with 1 input and 1 output.

sys is a state -space system with 1 input and 4 outputs.

Answer 2

[akfr akfr]

let me explain you my question, i want lateral model of uav and i have u1 input and y1,y2,y3,y4 outputs ,system identification gives me 4 transfer function and i want to get A (4x4),B(4x2),C(4x4) matrix it is only possible i convert 4 tf to 4 ss and than 4ss to 1ss than i will be able to get desired A,B,C matrix

[Arkadiy Turevskiy]

s=tf('s');
sys1=1/(s+1);
sys2=2/(s+2);
sys3=3/(s+3);
sys4=4/(s+4);
sys=[sys1;sys2;sys3;sys4];
sys_ss=ss(sys)
sys_ss.a
sys_ss.b
sys_ss.c
sys_ss.d