State Space Convolution

Two scripts are included here.
1. convsys.m - combines the state space representation of two systems connected in series.

[Ao,Bo,Co,Do]=convsys(A1,B1,C1,D1,A2,B2,C2,D2)

This algorithm gives the convolution of two state space representations

| A1 B1 | | A2 B2 |
u ==> | | ==> | | ==> y
| C1 D1 | | C2 D2 |

The algorithm also accepts state space objects as inputs and gives out a state space object as output.

2. sysfeedbk.m
[Ao,Bo,Co,Do]=convsys(A1,B1,C1,D1,A2,B2,C2,D2)
Gives the closed loop state space representation for two systems connected with negative feedback in the following manner.

| A1 B1 |
u ==> | | ==> y
+ o | C1 D1 | |
- | |
| | A2 B2 | |
|= | |= |
| C2 D2 |

The zip file also contains checkcompatibility.m , which checks the compatibility of matrix dimensions in the system and cleanss.m which can be used to 'clean' a state space representation.