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  • © 2001

Linear Control Systems

With solved problems and MATLAB examples

Part of the book series: University Series in Mathematics (USMA)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiii
  2. Theory of linear control systems

    1. Front Matter

      Pages 1-1
    2. Historical overview of automatic control

      • Branislav Kisačanin, Gyan C. Agarwal
      Pages 3-22
    3. Modern control theory

      • Branislav Kisačanin, Gyan C. Agarwal
      Pages 23-70
  3. Solved problems

    1. Front Matter

      Pages 71-71
    2. Continuous linear systems

      • Branislav Kisačanin, Gyan C. Agarwal
      Pages 73-205
    3. Discrete linear systems

      • Branislav Kisačanin, Gyan C. Agarwal
      Pages 207-272
    4. Exercise problems

      • Branislav Kisačanin, Gyan C. Agarwal
      Pages 273-285
  4. Back Matter

    Pages 287-381

About this book

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.

Authors and Affiliations

  • Delphi Delco Electronics Systems, Kokomo, USA

    Branislav Kisačanin

  • University of Illinois at Chicago, Chicago, USA

    Gyan C. Agarwal

Bibliographic Information

  • Book Title: Linear Control Systems

  • Book Subtitle: With solved problems and MATLAB examples

  • Authors: Branislav Kisačanin, Gyan C. Agarwal

  • Series Title: University Series in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4615-0553-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2001

  • Hardcover ISBN: 978-0-306-46743-1Published: 31 December 2001

  • Softcover ISBN: 978-1-4613-5129-0Published: 16 September 2012

  • eBook ISBN: 978-1-4615-0553-2Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIII, 381

  • Topics: Electrical Engineering, Mechanical Engineering, Systems Theory, Control

Buy it now

Buying options

eBook USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access