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R2012a Documentation → Control System Toolbox
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Contents

Index

• Getting Started

• Product Description

Using the Documentation

Related Products

• Linear (LTI) Models

What Is a Plant?

Linear Model Representations

SISO Example: The DC Motor

Building SISO Models

Constructing Discrete Time Systems

Adding Delays to Linear Models

• MIMO Models

MIMO Example: State-Space Model of Jet Transport Aircraft

Constructing MIMO Transfer Functions

Accessing I/O Pairs in MIMO Systems

Arrays of Linear Models

Model Characteristics

• Interconnecting Linear Models

Arithmetic Operations for Interconnecting Models

Feedback Interconnections

• Converting Between Continuous- and Discrete- Time Systems

Available Commands for Continuous/Discrete Conversion

Available Methods for Continuous/Discrete Conversion

Digitizing the Discrete DC Motor Model

• Reducing Model Order

Model Order Reduction Commands

Techniques for Reducing Model Order

Example: Gasifier Model

Linear Analysis Using the LTI Viewer

Plot Types Available in the LTI Viewer

Example: Time and Frequency Responses of the DC Motor

Right-Click Menus

Displaying Response Characteristics on a Plot

Changing Plot Type

Showing Multiple Response Types

Comparing Multiple Models

• Simulate Models with Arbitrary Inputs and Initial Conditions

What is the Linear Simulation Tool?

Opening the Linear Simulation Tool

Working with the Linear Simulation Tool

Importing Input Signals

Example: Loading Inputs from a Microsoft Excel Spreadsheet

Example: Importing Inputs from the Workspace

Designing Input Signals

Specifying Initial Conditions

• Functions for Time and Frequency Response

When to Use Functions for Time and Frequency Response

Time and Frequency Response Functions

Plotting MIMO Model Responses

Plotting and Comparing Multiple Systems

Creating Custom Plots

• Designing PID Controllers

Choosing a PID Controller Design Tool

Designing PID Controllers with the PID Tuner GUI

PID Controller Design for Fast Reference Tracking

Designing PID Controllers at the Command Line

• SISO Design Tool

Tune Compensator Parameters Using the SISO Design Tool

Components of the SISO Tool

Design Options in the SISO Tool

Opening the SISO Design Tool

Using the SISO Design Task Node in the Control and Estimation Tools Manager

Importing Models into the SISO Design Tool

Feedback Structure

Analysis Plots for Loop Responses

Using the Graphical Tuning Window

Exporting the Compensator and Models

Storing and Retrieving Intermediate Designs

• Bode Diagram Design

What Is Bode Diagram Design?

Bode Diagram Design for DC Motor

Adjusting the Compensator Gain

Adjusting the Bandwidth

Adding an Integrator

Adding a Lead Network

Moving Compensator Poles and Zeros

Adding a Notch Filter

Modifying a Prefilter

• Root Locus Design

What Is Root Locus Design?

Root Locus Design for Electrohydraulic Servomechanism

Changing the Compensator Gain

Adding Poles and Zeros to the Compensator

Editing Compensator Pole and Zero Locations

Viewing Damping Ratios

• Nichols Plot Design

What Is Nichols Plot Design?

Nichols Plot Design for DC Motor

Opening a Nichols Plot

Adjusting the Compensator Gain

Adding an Integrator

Adding a Lead Network

• Automated Tuning Design

Supported Automated Tuning Methods

Loading and Displaying the DC Motor Example for Automated Tuning

Applying Automated PID Tuning

• Multi-Loop Compensator Design

When to Use Multi-Loop Compensator Design

Workflow for Multi-Loop Compensator Design

Position Control of a DC Motor

• Control Design Analysis of Multiple Models

Multiple Models Represent System Variations

Control Design Analysis Using the SISO Design Tool

Specifying a Nominal Model

Frequency Grid for Multimodel Computations

How to Analyze the Controller Design for Multiple Models

• Functions for Compensator Design

When to Use Functions for Compensator Design

Root Locus Design

Linear-Quadratic-Gaussian (LQG) Design

Design an LQG Regulator

Design an LQG Servo Controller

Design an LQR Servo Controller in Simulink

• User's Guide

• Release Notes

LTI System - Use linear system model object in Simulink

Description

The LTI System block imports linear system model objects into the Simulink^® environment.

The imported system must be proper. State-space models are always proper. SISO transfer functions or zero-pole-gain models are proper if the degree of their numerator is less than or equal to the degree of their denominator. MIMO transfer functions are proper if all their SISO entries are proper.

Dialog Box

LTI system variable: Enter your LTI model. This block supports state-space, zero/pole/gain, and transfer function formats. Your model can be discrete- or continuous-time.
Initial states (state-space only): If your model is in state-space format, you can specify the initial states in vector format. The default is zero for all states.

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