Creating and Manipulating Models

Concatenation of LTI Models

LTI model concatenation is done in a manner similar to the way you concatenate matrices in MATLAB, using

• sys = [sys1 , sys2]% horizontal concatenation
  sys = [sys1 ; sys2]% vertical concatenation
  sys = append(sys1,sys2)% block diagonal appending
  

In I/O terms, horizontal and vertical concatenation have the following block-diagram interpretations (with and denoting the transfer matrices of sys1 and sys2).

You can use concatenation as an easy way to create MIMO transfer functions or zero-pole-gain models. For example,

• H = [ tf(1,[1 0])  1 ; 0  tf([1 -1],[1 1]) ]
  

specifies

Use

• append(sys1,sys2)
  

to specify the block-decoupled LTI model interconnection.

See append for more information on this function.

Model Interconnection Functions

Feedback and Other Interconnection Functions