Model Interconnection Functions :: Operations on LTI Models (Creating and Manipulating Models)

Creating and Manipulating Models

Model Interconnection Functions

The Control System Toolbox provides a number of functions to help with the model building process. These include model interconnection functions to perform I/O concatenation ([,], [;], and append), general parallel and series connections (parallel and series), and feedback connections (feedback and lft). These functions are useful to model open- and closed-loop systems.

Interconnection Operator
Description

[,]
Concatenates horizontally

[;]
Concatenates vertically

append
Appends models in a block diagonal configuration

augstate
Augments the output by appending states

connect
Forms an SS model from a block diagonal LTI object for an arbitrary interconnection matrix

feedback
Forms the feedback interconnection of two models

lft
Produces the LFT interconnection (Redheffer Star product) of two models

parallel
Forms the generalized parallel connection of two models

series
Forms the generalized series connection of two models

Interconnection Operator	Description
`[,]`	Concatenates horizontally
`[;]`	Concatenates vertically
`append`	Appends models in a block diagonal configuration
`augstate`	Augments the output by appending states
`connect`	Forms an SS model from a block diagonal LTI object for an arbitrary interconnection matrix
`feedback`	Forms the feedback interconnection of two models
`lft`	Produces the LFT interconnection (Redheffer Star product) of two models
`parallel`	Forms the generalized parallel connection of two models
`series`	Forms the generalized series connection of two models

The next sections cover these topics:

Pertransposition Concatenation of LTI Models