User`s guide

Table Of Contents

iv Contents

Operations on LTI Models

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

Precedence and Prop erty Inheritance .................. 3-3

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

ReferencingFRDModelsThroughFrequencies............. 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

Operations on State-Space Models with Delays . . . . . . . . . . . . 3-15

Model Interconnection Funct i ons ..................... 3-16

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

Feedback and Other Int erconnection 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

DiscretizationofSystemswithDelays ................... 3-24

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