Perturbation Methods In Optimal Control

Author : Alain Bensoussan
Publisher : Wiley
Page : 588 pages
File Size : 55,7 Mb
Release : 1988-06-23
Category : Mathematics
ISBN : 0471919942

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Perturbation Methods in Optimal Control by Alain Bensoussan Pdf

Describes, analyzes, and generalizes the principal results concerning perturbation methods in optimal control for systems governed by deterministic or stochastic differential equations. Covers the most important theorems in deterministic and stochastic optimal control, the theory of ergodic control, and the use of control, including regular perturbations and singular perturbations.

Author : Desineni S. Naidu
Publisher : IET
Page : 314 pages
File Size : 40,7 Mb
Release : 1988
Category : Technology & Engineering
ISBN : 086341107X

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Singular Perturbation Methodology in Control Systems by Desineni S. Naidu Pdf

This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).

Author : Petar Kokotovic,Hassan K. Khali,John O'Reilly
Publisher : SIAM
Page : 379 pages
File Size : 50,8 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 9780898714449

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Singular Perturbation Methods in Control by Petar Kokotovic,Hassan K. Khali,John O'Reilly Pdf

This SIAM Classics edition of the 1986 book provides the theoretical foundation for representative control applications.

Author : Desineni S. Naidu,Ayalasomayajula K. Rao
Publisher : Springer
Page : 204 pages
File Size : 44,7 Mb
Release : 2006-11-14
Category : Science
ISBN : 9783540396819

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Singular Perturbation Analysis of Discrete Control Systems by Desineni S. Naidu,Ayalasomayajula K. Rao Pdf

Author : L.D. Akulenko
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 52,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401111942

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Problems and Methods of Optimal Control by L.D. Akulenko Pdf

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).

Author : Petar Kokotovic,Hassan K. Khalil,John O'Reilly
Publisher : SIAM
Page : 386 pages
File Size : 50,9 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 161197111X

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Singular Perturbation Methods in Control by Petar Kokotovic,Hassan K. Khalil,John O'Reilly Pdf

Singular perturbations and time-scale techniques were introduced to control engineering in the late 1960s and have since become common tools for the modeling, analysis, and design of control systems. In this SIAM Classics edition of the 1986 book, the original text is reprinted in its entirety (along with a new preface), providing once again the theoretical foundation for representative control applications. This book continues to be essential in many ways. It lays down the foundation of singular perturbation theory for linear and nonlinear systems, it presents the methodology in a pedagogical way that is not available anywhere else, and it illustrates the theory with many solved examples, including various physical examples and applications. So while new developments may go beyond the topics covered in this book, they are still based on the methodology described here, which continues to be their common starting point.

Author : Yung-Nan Hu
Publisher : Unknown
Page : 308 pages
File Size : 46,6 Mb
Release : 1986
Category : Aerodynamics
ISBN : MSU:31293008360566

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The Application of Singular Perturbation Methods to Optimal Control Problems in Flight Mechanics by Yung-Nan Hu Pdf

Author : M.D. Ardema
Publisher : Springer
Page : 337 pages
File Size : 48,9 Mb
Release : 2014-05-04
Category : Science
ISBN : 9783709126387

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Singular Perturbations in Systems and Control by M.D. Ardema Pdf

Author : Zoran Gajic
Publisher : CRC Press
Page : 264 pages
File Size : 55,8 Mb
Release : 2001-01-04
Category : Technology & Engineering
ISBN : 9780824744854

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Optimal Control Of Singularly Perturbed Linear Systems And Applications by Zoran Gajic Pdf

Highlights the Hamiltonian approach to singularly perturbed linear optimal control systems. Develops parallel algorithms in independent slow and fast time scales for solving various optimal linear control and filtering problems in standard and nonstandard singularly perturbed systems, continuous- and discrete-time, deterministic and stochastic, multimodeling structures, Kalman filtering, sampled data systems, and much more.

Author : Reza N. Jazar
Publisher : Springer Nature
Page : 584 pages
File Size : 47,7 Mb
Release : 2021-07-12
Category : Technology & Engineering
ISBN : 9783030734626

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Perturbation Methods in Science and Engineering by Reza N. Jazar Pdf

Perturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and engineering, from an application viewpoint. This book bridges the gap between theory and applications, in new as well as classical problems. The engineers and graduate students who read this book will be able to apply their knowledge to a wide range of applications in different engineering disciplines. The book begins with a clear description on limits of mathematics in providing exact solutions and goes on to show how pioneers attempted to search for approximate solutions of unsolvable problems. Through examination of special applications and highlighting many different aspects of science, this text provides an excellent insight into perturbation methods without restricting itself to a particular method. This book is ideal for graduate students in engineering, mathematics, and physical sciences, as well as researchers in dynamic systems.

Author : John T. Betts
Publisher : SIAM
Page : 748 pages
File Size : 43,5 Mb
Release : 2020-07-09
Category : Mathematics
ISBN : 9781611976199

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Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition by John T. Betts Pdf

How do you fly an airplane from one point to another as fast as possible? What is the best way to administer a vaccine to fight the harmful effects of disease? What is the most efficient way to produce a chemical substance? This book presents practical methods for solving real optimal control problems such as these. Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition focuses on the direct transcription method for optimal control. It features a summary of relevant material in constrained optimization, including nonlinear programming; discretization techniques appropriate for ordinary differential equations and differential-algebraic equations; and several examples and descriptions of computational algorithm formulations that implement this discretize-then-optimize strategy. The third edition has been thoroughly updated and includes new material on implicit Runge–Kutta discretization techniques, new chapters on partial differential equations and delay equations, and more than 70 test problems and open source FORTRAN code for all of the problems. This book will be valuable for academic and industrial research and development in optimal control theory and applications. It is appropriate as a primary or supplementary text for advanced undergraduate and graduate students.

Author : John T. Betts
Publisher : SIAM
Page : 443 pages
File Size : 54,6 Mb
Release : 2010-01-01
Category : Mathematics
ISBN : 9780898718577

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Practical Methods for Optimal Control and Estimation Using Nonlinear Programming by John T. Betts Pdf

The book describes how sparse optimization methods can be combined with discretization techniques for differential-algebraic equations and used to solve optimal control and estimation problems. The interaction between optimization and integration is emphasized throughout the book.

Author : David G. Hull
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 42,9 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9781475741803

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Optimal Control Theory for Applications by David G. Hull Pdf

The published material represents the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available to the widest audience, the prerequisites are limited to calculus and differential equations. It is also a book about the mathematical aspects of optimal control theory. It was developed in an engineering environment from material learned by the author while applying it to the solution of engineering problems. One goal of the book is to help engineering graduate students learn the fundamentals which are needed to apply the methods to engineering problems. The examples are from geometry and elementary dynamical systems so that they can be understood by all engineering students. Another goal of this text is to unify optimization by using the differential of calculus to create the Taylor series expansions needed to derive the optimality conditions of optimal control theory.

Author : Dieter Grass,Jonathan P. Caulkins,Gustav Feichtinger,Gernot Tragler,Doris A. Behrens
Publisher : Springer Science & Business Media
Page : 552 pages
File Size : 55,8 Mb
Release : 2008-07-24
Category : Business & Economics
ISBN : 9783540776475

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Optimal Control of Nonlinear Processes by Dieter Grass,Jonathan P. Caulkins,Gustav Feichtinger,Gernot Tragler,Doris A. Behrens Pdf

Dynamic optimization is rocket science – and more. This volume teaches researchers and students alike to harness the modern theory of dynamic optimization to solve practical problems. These problems not only cover those in space flight, but also in emerging social applications such as the control of drugs, corruption, and terror. This volume is designed to be a lively introduction to the mathematics and a bridge to these hot topics in the economics of crime for current scholars. The authors celebrate Pontryagin’s Maximum Principle – that crowning intellectual achievement of human understanding. The rich theory explored here is complemented by numerical methods available through a companion web site.

Author : Bulirsch,Miele,Stoer,Well
Publisher : Birkhäuser
Page : 352 pages
File Size : 51,5 Mb
Release : 2013-03-08
Category : Science
ISBN : 9783034875394

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Optimal Control by Bulirsch,Miele,Stoer,Well Pdf

"Optimal Control" reports on new theoretical and practical advances essential for analysing and synthesizing optimal controls of dynamical systems governed by partial and ordinary differential equations. New necessary and sufficient conditions for optimality are given. Recent advances in numerical methods are discussed. These have been achieved through new techniques for solving large-sized nonlinear programs with sparse Hessians, and through a combination of direct and indirect methods for solving the multipoint boundary value problem. The book also focuses on the construction of feedback controls for nonlinear systems and highlights advances in the theory of problems with uncertainty. Decomposition methods of nonlinear systems and new techniques for constructing feedback controls for state- and control constrained linear quadratic systems are presented. The book offers solutions to many complex practical optimal control problems.