Optimal control theory with aerospace applications / Joseph Z. Ben-Asher.

Format:

Book

Author/Creator:

Ben-Asher, Joseph Z., 1955-

Series:

AIAA education series.

AIAA education series

Language:

English

Subjects (All):

Automatic pilot (Airplanes).

Flight control.

Guided missiles--Control systems.

Guided missiles.

Physical Description:

xvii, 262 p. : ill.

Edition:

1st ed.

Place of Publication:

Reston, Va. : American Institute of Aeronautics and Astronautics, Inc., c2010.

Language Note:

English

Summary:

Optimal control theory is a mathematical optimization method with important applications in the aerospace industry. This graduate-level textbook is based on the author's two decades of teaching at Tel-Aviv University and the Technion Israel Institute of Technology, and builds upon the pioneering methodologies developed by H.J. Kelley. Unlike other books on the subject, the text places optimal control theory within a historical perspective. Following the historical introduction are five chapters dealing with theory and five dealing with primarily aerospace applications. The theoretical section follows the calculus of variations approach, while also covering topics such as gradient methods, adjoint analysis, hodograph perspectives, and singular control. Important examples such as Zermelo's navigation problem are addressed throughout the theoretical chapters of the book. The applications section contains case studies in areas such as atmospheric flight, rocket performance, and missile guidance. The cases chosen are those that demonstrate some new computational aspects, are historically important, or are connected to the legacy of H.J. Kelley.To keep the mathematical level at that of graduate students in engineering, rigorous proofs of many important results are not given, while the interested reader is referred to more mathematical sources. Problem sets are also included.

Contents:

Historical background

Ordinary minimum problems : from the beginning of calculus to Kuhn-Tucker

Calculus of variations : from Bernoulli to Bliss

Minimum principle of Pontryagin and Hestenes

Application of the Jacobi test in optimal control and neighboring extremals

Numerical techniques for the optimal control problem

Singular perturbation technique and its application to air-to-space interception

Application to aircraft performance : Rutowski and Kaiser's techniques and more

Application to rocket performance : the Goddard problem

Application to missile guidance : proportional navigation

Application to time-optimal rotational maneuvers of flexible spacecraft.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

1-60086-734-0

1-60086-733-2

1-61344-043-X

OCLC:

922978930