User`s guide

Table Of Contents

Operations on LTI Models

Introduction ....................3-2

Precedence and Property Inheritance ........3-3

Extracting and Modifying Subsystems ........3-5

Referencing FRD Models Through Frequencies . . . . . . 3-7

ReferencingChannelsbyName.............3-8

ResizingLTISystems.................3-9

Arithmetic Operations ...............3-11

AdditionandSubtraction ...............3-11

Multiplication....................3-13

InversionandRelatedOperations............3-13

Transposition....................3-14

Pertransposition...................3-14

DelaysandModelOperations .............3-15

Model Interconnection Func tions ..........3-16

ConcatenationofLTIModels..............3-17

Feedback and Other Interconnection Functions . . . . . . 3-18

Continuous/Discrete Conversions of LTI Models ...3-20

Zero-OrderHold...................3-20

First-OrderHold...................3-22

TustinApproximation.................3-22

TustinwithFrequencyPrewarping...........3-23

MatchedPolesandZeros ...............3-23

Discretization of Systems with Delays . . . . . . . . . . 3-24

Delays and Continuous/Discrete Model Conversions . . . . 3-25

Resampling of Discrete-Time Models .........3-27

References .....................3-28