Optimal Control: Linear Quadratic Methods (Dover Books on Engineering)

Book Details:

• Publisher: Dover

• Author: Brian D. O. Anderson

• Language: English

• Binding: Paperback

• ISBN: 0000486457664

• Pages: 448

• Release Date: 27-02-2007

• Dimensions: 9.1 x 6.2 x 1.1 inches

About The Book:

"Optimal Control: Linear Quadratic Methods" by Brian D. O. Anderson is an advanced and comprehensive guide designed for engineers and students seeking to understand the practical application of linear quadratic Gaussian methods for the design of control systems. The book provides a clear, engineering-focused approach to linear optimal control theory with step-by-step instructions and explanations.

This augmented edition expands upon the original with new insights and a complete solutions manual to help readers deepen their understanding. The three-part treatment covers the following essential topics:

• Part One: Introduces the linear regulator/tracker theory for time-invariant and time-varying systems. It explains the Hamilton-Jacobi equation and the Principle of Optimality as applied to infinite-time problems.

• Part Two: Discusses the engineering properties of the regulator, including concepts like degree of stability, phase and gain margin, tolerance of time delay, and asymptotic properties. It also addresses various sensitivity problems and their impact on design.

• Part Three: Focuses on state estimation and the design of robust controllers using state-estimate feedback.

Additional key topics include loop-recovery techniques, frequency shaping, and controller reduction for both scalar and multivariable systems.

The book is particularly useful for professionals involved in control system design and provides readers with a deep dive into concepts such as matrix theory, Lyapunov stability, and the Riccati equation. Self-contained appendixes give readers the foundational knowledge needed to tackle the more advanced topics presented in the book.

This Dover edition also includes a complete solutions manual for all the problems featured at the end of each section, making it an ideal resource for both self-study and classroom instruction.