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R2011b Documentation → Control System Toolbox
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Contents

Index

• Getting Started

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 Example: State-Space Model of Jet Transport Aircraft

Constructing MIMO Transfer Functions

Accessing I/O Pairs in MIMO Systems

Arithmetic Operations for Interconnecting Models

Feedback Interconnections

Available Commands for Continuous/Discrete Conversion

Available Methods for Continuous/Discrete Conversion

Digitizing the Discrete DC Motor Model

Model Order Reduction Commands

Techniques for Reducing Model Order

Example: Gasifier Model

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

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

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 with the PID Tuner GUI

Designing PID Controllers at the Command Line

Quick Start for Tuning 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

What Is Bode Diagram Design?

Example: 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

What Is Root Locus Design?

Example: Electrohydraulic Servomechanism

Changing the Compensator Gain

Adding Poles and Zeros to the Compensator

Editing Compensator Pole and Zero Locations

Viewing Damping Ratios

What Is Nichols Plot Design?

DC Motor Example

Opening a Nichols Plot

Adjusting the Compensator Gain

Adding an Integrator

Adding a Lead Network

Supported Automated Tuning Methods

Loading and Displaying the DC Motor Example for Automated Tuning

Applying Automated PID Tuning

When to Use Multi-Loop Compensator Design

Workflow for Multi-Loop Compensator Design

Example: Position Control of a DC Motor

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

When to Use Functions for Compensator Design

Root Locus Design

Linear-Quadratic-Gaussian (LQG) Design

Example - Designing an LQG Regulator

Example - Designing an LQG Servo Controller

Example - Designing an LQR Servo Controller in Simulink

• User's Guide

• GUIs

• Numeric Linear Models

• Generalized Linear Models

• Data Extraction

• Conversions

• System Interconnections

• System Gain and Dynamics

• Time Domain Analysis

• Frequency Domain Analysis

• Model Simplification

• Compensator Design

• LQR/LQG Design

• State-Space Models

• Frequency Response Data Models

• Time Delays

• Model Dimensions and Characteristics

• Overloaded and Arithmetic Operators

• Matrix Equation Solvers

• Preferences

• Visualization of Model Dynamics and Responses

• Plot Customization

• Help

• Release Notes

mag2db - Convert magnitude to decibels (dB)

Syntax

ydb = mag2db(y)

Description

ydb = mag2db(y) returns the corresponding decibel (dB) value ydb for a given magnitude y. The relationship between magnitude and decibels is ydb = 20 log₁₀(y).

See Also

Free Control Systems Interactive Kit

Learn more about resources for designing, testing, and implementing control systems.

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