Engineering and Scientific Computing With Scilab

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

• ISBN13: 9780817640095
• ISBN10: 0817640096
• Edition: CD
• Format: Hardcover
• Copyright: 1999-04-01
• Publisher: Birkhauser

Summary

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.

Table of Contents

Preface	xiii
List of Figures	xix
List of Tables	xxv
I The Scilab Package	1	(148)
Introduction	3	(14)
What Is Scilab?	3	(4)
Getting Started	7	(10)
The Scilab Language	17	(38)
Constants	17	(2)
Real Numbers	17	(1)
Complex Numbers	18	(1)
Character Strings	18	(1)
Special Constants	18	(1)
Data Types	19	(4)
Matrices of Numbers	19	(1)
Sparse Matrices of Numbers	19	(1)
Matrices of Polynomials	20	(1)
Boolean Matrices	20	(1)
Sparse Boolean Matrices	20	(1)
String Matrices	20	(1)
Lists	21	(1)
Typed Lists	21	(1)
Functions of Rational Matrices	22	(1)
Functions and Libraries	22	(1)
Scilab Syntax	23	(21)
Varibles	23	(1)
Assignments	24	(1)
Expressions	24	(5)
The list and tlist Operations	29	(3)
Flow Control	32	(4)
Functions and Scripts	36	(6)
Commands	42	(2)
Data-Type-Related Functions	44	(3)
Type Conversion Functions	44	(3)
Type Enquiry Functions	47	(1)
Overloading	47	(8)
Operator Overloading	49	(3)
Primitive Functions	52	(1)
How to Customize the Display of Variables	53	(2)
Graphics	55	(40)
The Media	55	(5)
The Graphics Window	56	(2)
The Driver	58	(1)
Global Handling Commands	58	(2)
Global Plot Parameters	60	(4)
Graphical Context	61	(2)
Indirect Manipulation of the Graphics Context	63	(1)
2-D Plotting	64	(15)
Basic Syntax for 2-D Plots	64	(6)
Specialized 2-D Plotting Functions	70	(3)
Captions and Presentation	73	(2)
Plotting Geometric Figures	75	(3)
Some Graphics Functions for Automatic Control	78	(1)
Interactive Graphics Utilities	79	(1)
3-D Plotting	79	(6)
3-D Plotting	81	(2)
Specialized 3-D Plots and Tools	83	(1)
Mixing 2-D and 3-D Graphics	83	(2)
Examples	85	(1)
Subwindows	85	(1)
A Set of Figures	86	(1)
Printing Graphics and Exporting to Latex	86	(9)
Window to Printer	88	(1)
Creating a Postscript File	88	(1)
Including a Postscript File in Latex	89	(3)
Scilab, Xfig, and Postscript	92	(1)
Creating Encapsulated Postscript Files	92	(3)
A Tour of Some Basic Functions	95	(24)
Linear Algebra	95	(11)
QR Factorization	96	(2)
Singular Value Decomposition	98	(1)
Schur Form and Eigenvalues	99	(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