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Linear Control Systems : With solved problems and MATLAB examples - Branislav Kisacanin

Linear Control Systems

With solved problems and MATLAB examples

Hardcover Published: 31st December 2001
ISBN: 9780306467431
Number Of Pages: 381

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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. All MATLAB programs from the book are available on the enclosed CD. 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.

Forewordp. ix
Prefacep. xi
Theory of linear control systemsp. 1
Historical overview of automatic controlp. 3
Automatic control before the 1930'sp. 5
Classical period of automatic controlp. 12
Beginnings of modern control theoryp. 18
Modern control theoryp. 23
State-space representationp. 25
System propertiesp. 34
State feedback and optimal controlp. 62
State observers and estimatorsp. 68
Solved problemsp. 71
Continuous linear systemsp. 73
Simple differential equationsp. 75
Matrix theoryp. 83
Systems of linear differential equationsp. 95
Input-output representationp. 98
State-space representationp. 113
Stabilityp. 128
Controllability and observabilityp. 134
Canonical realizationsp. 152
State feedbackp. 166
Optimal controlp. 178
State observersp. 186
Kalman-Bucy filterp. 194
Reduced-order observersp. 199
Discrete linear systemsp. 207
Simple difference equationsp. 209
More matrix theoryp. 217
Systems of linear difference equationsp. 220
Input-output representationp. 222
State-space representationp. 235
Stabilityp. 239
Controllability and observabilityp. 244
Canonical realizationsp. 251
State feedbackp. 255
Optimal controlp. 259
State observersp. 263
Kalman filterp. 265
Reduced-order observersp. 272
Exercise problemsp. 273
Appendixesp. 287
A quick introduction to MATLABp. 289
Introductionp. 289
Basic matrix operationsp. 290
Plotting graphsp. 294
Data analysisp. 295
Data management and I/O operationsp. 296
Exercisesp. 296
Mathematical preliminariesp. 305
Introductionp. 305
Differential and difference equationsp. 306
Laplace and z-transformsp. 312
Matrices and determinantsp. 318
Results from advanced matrix theoryp. 325
Eigenvectors and eigenvaluesp. 325
Diagonal and Jordan formsp. 330
Similarity of matricesp. 334
Symmetric and Hermitian matricesp. 340
Quadratic forms and definitenessp. 345
Some special matricesp. 353
Rank, pseudoinverses, SVD, and normsp. 355
Problemsp. 365
Bibliographyp. 371
Indexp. 375
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780306467431
ISBN-10: 0306467437
Series: University Series in Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 381
Published: 31st December 2001
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 0.7