Problems and Methods of Optimal Control
Problems and Methods of Optimal Control

Author: L.D. Akulenko

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 358

ISBN-13: 9401111944

DOWNLOAD EBOOK

The numerous applications of optimal control theory have given an incentive to the development of approximate techniques aimed at the construction of control laws and the optimization of dynamical systems. These constructive approaches rely on small parameter methods (averaging, regular and singular perturbations), which are well-known and have been proven to be efficient in nonlinear mechanics and optimal control theory (maximum principle, variational calculus and dynamic programming). An essential feature of the procedures for solving optimal control problems consists in the necessity for dealing with two-point boundary-value problems for nonlinear and, as a rule, nonsmooth multi-dimensional sets of differential equations. This circumstance complicates direct applications of the above-mentioned perturbation methods which have been developed mostly for investigating initial-value (Cauchy) problems. There is now a need for a systematic presentation of constructive analytical per turbation methods relevant to optimal control problems for nonlinear systems. The purpose of this book is to meet this need in the English language scientific literature and to present consistently small parameter techniques relating to the constructive investigation of some classes of optimal control problems which often arise in prac tice. This book is based on a revised and modified version of the monograph: L. D. Akulenko "Asymptotic methods in optimal control". Moscow: Nauka, 366 p. (in Russian).

Control Applications of Optimization 1995
Control Applications of Optimization 1995

Author: Josef Shinar

Publisher: Pergamon

Published: 1996

Total Pages: 144

ISBN-13:

DOWNLOAD EBOOK

Paperback. This publication contains the papers presented at the IFAC Workshop on Control Applications of Optimization held in Haifa, Israel on 19-21 December 1995. The Workshop provided an ideal forum for scientists to gather together and exchange new ideas and information on the applications of optimization to real life control problems and to look for advances in optimization theory which are useful in solving modern applied problems. Various aspects of optimization and related control topics were included in the Workshop's program: estimation and identification, feedback optimal control, conflict (game) problems, stochastic control, numerical solutions of optimization problems, guidance and tracking problems. A total of 31 contributed papers were presented and discussed, 22 of which are published in this postprint volume.

Optimal Control with Aerospace Applications
Optimal Control with Aerospace Applications

Author: James M Longuski

Publisher: Springer Science & Business Media

Published: 2013-11-04

Total Pages: 286

ISBN-13: 1461489458

DOWNLOAD EBOOK

Want to know not just what makes rockets go up but how to do it optimally? Optimal control theory has become such an important field in aerospace engineering that no graduate student or practicing engineer can afford to be without a working knowledge of it. This is the first book that begins from scratch to teach the reader the basic principles of the calculus of variations, develop the necessary conditions step-by-step, and introduce the elementary computational techniques of optimal control. This book, with problems and an online solution manual, provides the graduate-level reader with enough introductory knowledge so that he or she can not only read the literature and study the next level textbook but can also apply the theory to find optimal solutions in practice. No more is needed than the usual background of an undergraduate engineering, science, or mathematics program: namely calculus, differential equations, and numerical integration. Although finding optimal solutions for these problems is a complex process involving the calculus of variations, the authors carefully lay out step-by-step the most important theorems and concepts. Numerous examples are worked to demonstrate how to apply the theories to everything from classical problems (e.g., crossing a river in minimum time) to engineering problems (e.g., minimum-fuel launch of a satellite). Throughout the book use is made of the time-optimal launch of a satellite into orbit as an important case study with detailed analysis of two examples: launch from the Moon and launch from Earth. For launching into the field of optimal solutions, look no further!