Computing balanced representation for state-space model?

Question

Danijel Domazet 2020-11-2

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/633719-computing-balanced-representation-for-state-space-model

回答： Ameer Hamza 2020-11-2

I have the following state-space model parameters:

A = [0.989923894 -116924.375; 4.34027786e-10 1];
B = [1;0];
C = [0.010076086 1];
D = 0;

I would like to compute a balanced representation of this sistem using balreal():

[sysb,g,T,Ti] = balreal(sys)

How would I do that?

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Answer 1

Ameer Hamza 2020-11-2

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/633719-computing-balanced-representation-for-state-space-model#answer_531469

在 MATLAB Online 中打开

First create the ss() object

A = [0.989923894 -116924.375; 4.34027786e-10 1];
B = [1;0];
C = [0.010076086 1];
D = 0;
sys = ss(A, B, C, D);
[sysb,g,T,Ti] = balreal(sys)

Result

sysb =
 
  A = 
             x1        x2
   x1     0.995  -0.01599
   x2  0.001586     0.995
 
  B = 
            u1
   x1   0.1157
   x2  0.04721
 
  C = 
            x1       x2
   y1  0.07464  0.03044
 
  D = 
       u1
   y1   0
 
Continuous-time state-space model.
g =
   Inf
   Inf
T =
   1.0e+05 *
    0.0000   -3.9600
    0.0000    9.7092
Ti =
    7.4076    3.0213
   -0.0000    0.0000