Contents

Index

• Getting Started

• Building Uncertain Models

• Introduction to Uncertain Atoms

Uncertain Real Parameters

Uncertain LTI Dynamics Atoms

Complex Parameter Atoms

Complex Matrix Atoms

Unstructured Uncertain Dynamic Systems

• Uncertain Matrices

Creating Uncertain Matrices from Uncertain Atoms

Accessing Properties of a umat

Row and Column Referencing

Matrix Operation on umat Objects

Substituting for Uncertain Atoms

• Uncertain State-Space Systems (uss)

Creating Uncertain Systems

Properties of uss Objects

Sampling Uncertain Systems

Feedback Around an Uncertain Plant

Interpreting Uncertainty in Discrete Time

Lifting a ss to a uss

Handling Delays in uss

• Uncertain frd

Creating Uncertain Frequency Response Objects

Properties of ufrd Objects

Interpreting Uncertainty in Discrete Time

Lifting an frd to a ufrd

Handling Delays in ufrd

Basic Control System Toolbox and MATLAB Interconnections

• Simplifying Representation of Uncertain Objects

Effect of the Autosimplify Property

Direct Use of simplify

• Sampling Uncertain Objects

Generating One Sample

Generating Many Samples

Sampling ultidyn Atoms

• Substitution by usubs

Specifying the Substitution with Structures

Nominal and Random Values

• Array Management for Uncertain Objects

Referencing Arrays

Creating Arrays with stack and cat Functions

Creating Arrays by Assignment

Binary Operations with Arrays

Creating Arrays with usample

Creating Arrays with usubs

Creating Arrays with gridureal

Creating Arrays with repmat

Creating Arrays with repsys

Using permute and ipermute

• Decomposing Uncertain Objects (for Advanced Users)

Normalizing Functions for Uncertain Atoms

Properties of the Decomposition

Syntax of lftdata

Advanced Syntax of lftdata

• Generalized Robustness Analysis

• Linear Matrix Inequalities

• Analyzing Uncertainty Effects in Simulink

• Function Reference

Block Reference

• Release Notes

Building Uncertain Models

Introduction to Uncertain Atoms

Uncertain Matrices

Uncertain State-Space Systems (uss)

Basic Control System Toolbox™ and MATLAB® Interconnections

Simplifying Representation of Uncertain Objects

Sampling Uncertain Objects

Substitution by usubs

Array Management for Uncertain Objects

Decomposing Uncertain Objects (for Advanced Users)

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References Introduction to Uncertain Atoms

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