Engineering and Scientific Computing With Scilab

, by Gomez, Claude; Bunks, Carey; Chancelier, Jean-Philippe; Delebecque, Francois; Goursat, Maurice

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ISBN: 9780817640095 | 0817640096
Cover: Hardcover
Copyright: 4/1/1999

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Scilab is a powerful open computing environment designed for engineering and scientific applications. Engineering and Scientific Computing with Scilab provides a comprehensive overview of Scilab's utilization including integrated graphics, incorporation of user-provided functions, and a tour of its numerous and powerful applications toolboxes.

Preface

xiii

List of Figures

xix

List of Tables

xxv

I The Scilab Package

(148)

Introduction

(14)

What Is Scilab?

(4)

Getting Started

(10)

The Scilab Language

(38)

Constants

(2)

Real Numbers

(1)

Complex Numbers

(1)

Character Strings

(1)

Special Constants

(1)

Data Types

(4)

Matrices of Numbers

(1)

Sparse Matrices of Numbers

(1)

Matrices of Polynomials

(1)

Boolean Matrices

(1)

Sparse Boolean Matrices

(1)

String Matrices

(1)

Lists

(1)

Typed Lists

(1)

Functions of Rational Matrices

(1)

Functions and Libraries

(1)

Scilab Syntax

(21)

Varibles

(1)

Assignments

(1)

Expressions

(5)

The list and tlist Operations

(3)

Flow Control

(4)

Functions and Scripts

(6)

Commands

(2)

Data-Type-Related Functions

(3)

Type Conversion Functions

(3)

Type Enquiry Functions

(1)

Overloading

(8)

Operator Overloading

(3)

Primitive Functions

(1)

How to Customize the Display of Variables

(2)

Graphics

(40)

The Media

(5)

The Graphics Window

(2)

The Driver

(1)

Global Handling Commands

(2)

Global Plot Parameters

(4)

Graphical Context

(2)

Indirect Manipulation of the Graphics Context

(1)

2-D Plotting

(15)

Basic Syntax for 2-D Plots

(6)

Specialized 2-D Plotting Functions

(3)

Captions and Presentation

(2)

Plotting Geometric Figures

(3)

Some Graphics Functions for Automatic Control

(1)

Interactive Graphics Utilities

(1)

3-D Plotting

(6)

3-D Plotting

(2)

Specialized 3-D Plots and Tools

(1)

Mixing 2-D and 3-D Graphics

(2)

Examples

(1)

Subwindows

(1)

A Set of Figures

(1)

Printing Graphics and Exporting to Latex

(9)

Window to Printer

(1)

Creating a Postscript File

(1)

Including a Postscript File in Latex

(3)

Scilab, Xfig, and Postscript

(1)

Creating Encapsulated Postscript Files

(3)

A Tour of Some Basic Functions

(24)

Linear Algebra

(11)

QR Factorization

(2)

Singular Value Decomposition

(1)

Schur Form and Eigenvalues

(1)

Block diagonalization and Eigenvectors

100

(2)

Fine Structure

102

(2)

Subspaces

104

(2)

Polynomial and Rational Function Manipulation

106

(5)

General Purpose Functions

106

(3)

Matrix Pencils

109

(2)

Sparse Matrices

111

(3)

Random Numbers

114

(3)

Cumulative Distribution Functions and Their Inverses

117

(2)

Advanced Programming

119

(30)

Functions and Primitives

119

(2)

The Call Function

121

(3)

Building Interface Programs

124

(5)

Accessing ``Global'' Variables Within a Wrapper

129

(6)

Stack Handling Functions

129

(3)

Functional Arguments

132

(3)

Intersci

135

(10)

A First Intersci Example

135

(1)

Intersci Descriptor File Syntax

136

(9)

Dynamic Linking

145

(2)

Static Linking

147

(2)

Static Linking of an Interface

147

(1)

Functional Argument: Static Linking

148

(1)

II Tools

149

(262)

Systems and Control Toolbox

151

(58)

Linear Systems

151

(3)

State-Space Representation

151

(2)

Transfer-Matrix Representation

153

(1)

System Definition

154

(8)

Interconnected Systems

155

(4)

Linear Fractional Transformation (LFT)

159

(1)

Time Discretization

159

(3)

Improper Systems

162

(4)

Scilab Representation

163

(1)

Scilab Implementation

164

(2)

System Operations

166

(6)

Pole-Zero Calculations

167

(1)

Controllability and Pole Placement

168

(2)

Observability and Observers

170

(2)

Control Tools

172

(7)

Classical Control

179

(7)

Frequency Response Plots

183

(3)

State-Space Control

186

(11)

Augmenting the Plant

188

(2)

Standard Problem

190

(1)

LQG Design

191

(3)

Scilab Tools for Controller Design

194

(3)

H∞ Control

197

(2)

Model Reduction

199

(4)

Identification

203

(4)

Linear Matrix Inequalities

207

(2)

Signal Processing

209

(38)

Time and Frequency Representation of Signals

209

(15)

Resampling Signals

210

(1)

The DFT and the FFT

210

(2)

Transfer Function Representation of Signals

212

(4)

State-Space Representation

216

(1)

Changing System Representation

217

(1)

Frequency-Response Evaluation

218

(4)

The Chirp z-Transform

222

(2)

Filtering and Filter Design

224

(14)

Filtering

224

(2)

Finite Impulse Response Filter Design

226

(8)

Infinite Impulse Response Filter Design

234

(4)

Spectral Estimation

238

(9)

The Modified Periodogram Method

241

(2)

The Correlation Method

243

(4)

Simulation and Optimization Tools

247

(46)

Models

247

(1)

Integrating ODEs

248

(17)

Calling ode

250

(11)

Choosing Between Methods

261

(1)

ODE Integration with Stopping Times

261

(2)

Sampled Systems

263

(2)

Integrating DAEs

265

(15)

Implicit Linear ODEs

265

(2)

General DAEs

267

(12)

DAEs with Stopping Time

279

(1)

Solving Optimization Problems

280

(13)

Quadratic Optimization

281

(3)

General Optimization

284

(7)

Solving Systems of Equations

291

(2)

SCICOS---A Dynamical System Builder and Simulator

293

(46)

Hybrid System Formalism

293

(2)

Getting Started

295

(12)

Constructing a Simple Model

295

(4)

Model Simulation

299

(2)

Symbolic Parameters and ``Context''

301

(2)

Use of Super Block

303

(2)

Simulation Outside the Scicos Environment

305

(2)

Basic Concepts

307

(6)

Basic Blocks

307

(4)

Inheritance and Time Dependence

311

(1)

Synchronization

312

(1)

Block Construction

313

(18)

Super Block

314

(1)

Scifunc Block

314

(1)

Generic Block

315

(1)

Fortran Block and c Blocks

315

(1)

Interfacing Function

315

(8)

Computational Function

323

(8)

Example

331

(1)

Palettes

332

(7)

Existing Palettes

332

(4)

Constructing New Palettes

336

(3)

Symbolic/Numeric Environment

339

(28)

Introduction

339

(3)

Generating Optimized Fortran Code with Maple

342

(7)

Maple to Scilab Interface

349

(5)

First Example: Simulation of a Rolling Wheel

354

(4)

Second Example: Control of an n-Link Pendulum

358

(9)

Simulation of the n-Link Pendulum

360

(3)

Control of the n-Link Pendulum

363

(4)

Graph and Network Toolbox: Metanet

367

(44)

What Is a Graph?

368

(1)

Representation of Graphs

369

(9)

Standard Tail/Head Representation

369

(2)

Other Representations

371

(7)

Graphs and Sparse Matrices

378

(1)

Creating and Loading Graphs

378

(7)

Creating Graphs

378

(2)

Loading and Saving Graphs

380

(1)

Using the Metanet Window

380

(5)

Generating Graphs and Networks

385

(2)

Graph and Network Computations

387

(11)

Getting Information About Graphs

387

(1)

Paths and Nodes

388

(1)

Modifying Graphs

388

(1)

Creating New Graphs From Old Ones

389

(1)

Graph Problem Solving

389

(1)

Network Flows

390

(7)

The Pipe Network Problem

397

(1)

Other Computations

398

(1)

Examples Using Metanet

398

(13)

Routing in the Paris Metro

399

(1)

Praxitele Transportation System

400

(11)

III Applications

411

(70)

Modal Identification of a Mechanical Structure

413

(28)

Modeling the System

413

(2)

Modeling the Excitation

415

(6)

Decomposition of the Unknown Input

415

(1)

Contribution of the Colored Noise

416

(2)

Contribution of the Harmonics

418

(2)

The Final Discrete-State Model

420

(1)

State-Space Representation and an ARMA Model

421

(2)

Modal Identification

423

(8)

Instrumental Variable Method

423

(6)

Balanced Realization Method

429

(2)

Numerical Experiments

431

(10)

Basic Computations

431

(3)

Some Plots of Results

434

(7)

Control of Hydraulic Equipment in a River Valley

441

(40)

Introduction

441

(1)

Description of a Managed River Valley

442

(5)

Hydraulic Equipment in a River Valley

442

(1)

Power Production

442

(1)

Structural Analysis

442

(2)

Controller Structure

444

(1)

Central Hydraulic Supervision Station

444

(2)

Local Controllers

446

(1)

Race Modeling

447

(5)

Physical Description

447

(1)

Mathematical Model

448

(1)

Race Numerical Simulation

449

(3)

Choice of Observation

452

(5)

Volume Observer

454

(1)

Level Observer

455

(2)

Control of a Race

457

(9)

Race Dynamics Identification

457

(3)

Local Control Synthesis

460

(1)

Series Anticipations Design

461

(2)

Parallel Anticipation Design

463

(2)

Feedback Controller Design

465

(1)

Metalido Overview

466

(15)

Graphical User Interface

466

(1)

Scicos

467

(10)

Data Structures

477

(4)

Bibliography

481

(6)

Index

487

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Engineering and Scientific Computing With Scilab

Summary

Table of Contents

Supplemental Materials