Linear Control Systems

With solved problems and MATLAB examples

By: Branislav KisaÄ�anin, Gyan C. Agarwal

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Hardcover | 31 December 2001

At a Glance

Hardcover
404 Pages

Dimensions(cm)
23.5 x 16.51 x 2.54

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Anyone seeking a gentle introduction to the methods of modern control theory and engineering, written at the level of a first-year graduate course, should consider this book seriously. It contains:

A generous historical overview of automatic control, from Ancient Greece to the 1970s, when this discipline matured into an essential field for electrical, mechanical, aerospace, chemical, and biomedical engineers, as well as mathematicians, and more recently, computer scientists;
A balanced presentation of the relevant theory: the main state-space methods for description, analysis, and design of linear control systems are derived, without overwhelming theoretical arguments;
Over 250 solved and exercise problems for both continuous- and discrete-time systems, often including MATLAB simulations; and
Appendixes on MATLAB, advanced matrix theory, and the history of mathematical tools such as differential calculus, transform methods, and linear algebra.

Another noteworthy feature is the frequent use of an inverted pendulum on a cart to illustrate the most important concepts of automatic control, such as:

Linearization and discretization;
Stability, controllability, and observability;
State feedback, controller design, and optimal control; and
Observer design, reduced order observers, and Kalman filtering.

Most of the problems are given with solutions or MATLAB simulations. Whether the book is used as a textbook or as a self-study guide, the knowledge gained from it will be an excellent platform for students and practising engineers to explore further the recent developments and applications of control theory.

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Foreword	p. ix
Preface	p. xi
Theory of linear control systems	p. 1
Historical overview of automatic control	p. 3
Automatic control before the 1930's	p. 5
Classical period of automatic control	p. 12
Beginnings of modern control theory	p. 18
Modern control theory	p. 23
State-space representation	p. 25
System properties	p. 34
State feedback and optimal control	p. 62
State observers and estimators	p. 68
Solved problems	p. 71
Continuous linear systems	p. 73
Simple differential equations	p. 75
Matrix theory	p. 83
Systems of linear differential equations	p. 95
Input-output representation	p. 98
State-space representation	p. 113
Stability	p. 128
Controllability and observability	p. 134
Canonical realizations	p. 152
State feedback	p. 166
Optimal control	p. 178
State observers	p. 186
Kalman-Bucy filter	p. 194
Reduced-order observers	p. 199
Discrete linear systems	p. 207
Simple difference equations	p. 209
More matrix theory	p. 217
Systems of linear difference equations	p. 220
Input-output representation	p. 222
State-space representation	p. 235
Stability	p. 239
Controllability and observability	p. 244
Canonical realizations	p. 251
State feedback	p. 255
Optimal control	p. 259
State observers	p. 263
Kalman filter	p. 265
Reduced-order observers	p. 272
Exercise problems	p. 273
Appendixes	p. 287
A quick introduction to MATLAB	p. 289
Introduction	p. 289
Basic matrix operations	p. 290
Plotting graphs	p. 294
Data analysis	p. 295
Data management and I/O operations	p. 296
Exercises	p. 296
Mathematical preliminaries	p. 305
Introduction	p. 305
Differential and difference equations	p. 306
Laplace and z-transforms	p. 312
Matrices and determinants	p. 318
Results from advanced matrix theory	p. 325
Eigenvectors and eigenvalues	p. 325
Diagonal and Jordan forms	p. 330
Similarity of matrices	p. 334
Symmetric and Hermitian matrices	p. 340
Quadratic forms and definiteness	p. 345
Some special matrices	p. 353
Rank, pseudoinverses, SVD, and norms	p. 355
Problems	p. 365
Bibliography	p. 371
Index	p. 375
Table of Contents provided by Syndetics. All Rights Reserved.

Linear Control Systems

With solved problems and MATLAB examples

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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