blkdiag

Block-diagonal concatenation of models

Syntax

sys = blkdiag(sys1,sys2,...,sysN)


Description

sys = blkdiag(sys1,sys2,...,sysN) produces the aggregate system

$$\left[\begin{array}{cccc}sys1& 0& \mathrm{..}& 0\\ 0& sys2& .& :\\ :& .& .& 0\\ 0& \mathrm{..}& 0& sysN\end{array}\right]$$

blkdiag is equivalent to append.

Examples

Perform Block-Diagonal Concatenation

Perform block-diagonal concatenation of a transfer function model and a state-space model.

Create the SISO continuous-time transfer function model, 1/s.

sys1 = tf(1,[1 0]);

Create a SISO continuous-time state-space model with state-space matrices 1,2,3, and 4.

sys2 = ss(1,2,3,4);

Concatenate sys1, a SISO static gain system, and sys2. The resulting model is a 3-input, 3-output state-space model.

sys = blkdiag(sys1,10,sys2)

sys =
 
  A = 
       x1  x2
   x1   0   0
   x2   0   1
 
  B = 
       u1  u2  u3
   x1   1   0   0
   x2   0   0   2
 
  C = 
       x1  x2
   y1   1   0
   y2   0   0
   y3   0   3
 
  D = 
       u1  u2  u3
   y1   0   0   0
   y2   0  10   0
   y3   0   0   4
 
Continuous-time state-space model.

Alternatively, use the append command.

sys = append(sys1,10,sys2);

Version History

Introduced in R2009a