Sufficient Conditions for Optimal Control Problems with Terminal Constraints and Free Terminal Times with Applications to Aerospace

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ISBN 13 :
Total Pages : 149 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Sufficient Conditions for Optimal Control Problems with Terminal Constraints and Free Terminal Times with Applications to Aerospace by : Sankalp Kishan Bhan

Download or read book Sufficient Conditions for Optimal Control Problems with Terminal Constraints and Free Terminal Times with Applications to Aerospace written by Sankalp Kishan Bhan and published by . This book was released on 2019 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by the flight control problem of designing control laws for a Ground Collision Avoidance System (GCAS), this thesis formulates sufficient conditions for a strong local minimum for a terminally constrained optimal control problem with a free-terminal time. The conditions develop within the framework of a construction of a field of extremals by means of the method of characteristics, a procedure for the solution of first-order linear partial differential equations, but modified to apply to the Hamilton-Jacobi-Bellman equation of optimal control. Additionally, the thesis constructs these sufficient conditions for optimality with a mathematically rigorous development. The proof uses an approach which generalizes and differs significantly from procedures outlined in the classical literature on control engineering, where similar formulas are derived, but only in a cursory, formal and sometimes incomplete way. Additionally, the thesis gives new arrangements of the relevant expressions arising in the formulation of sufficient conditions for optimality that lead to more concise formulas for the resulting perturbation feedback control schemes.These results are applied to an emergency perturbation-feedback guidance scheme which recovers an aircraft from a dangerous flight-path angle to a safe one. Discussion of required background material contrasts nonlinear and linear optimal control theory are contrasted in the context of aerospace applications. A simplified version of the classical model for an F-16 fighter aircraft is used in numerical computation to very, by example, that the sufficient conditions for optimality developed in this thesis can be used off-line to detect possible failures in perturbation feedback control schemes, which arise if such methods are applied along extremal controlled trajectories and which only satisfy the necessary conditions for optimality without being locally optimal. The sufficient conditions for optimality developed in this thesis, on the other hand, guarantee the local validity of such perturbation feedback control schemes. This thesis presents various graphs that compare the neighboring extremals which were derived from the perturbation feedback control scheme with optimal ones that start from the same initial condition.Future directions for this work include extending the perturbation feedback control schemes to optimization problems that are further constrained, possibly through control constraints, state-space constraints or mixed state-control constraints.

Optimal Control with Aerospace Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461489458
Total Pages : 286 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Optimal Control with Aerospace Applications by : James M Longuski

Download or read book Optimal Control with Aerospace Applications written by James M Longuski and published by Springer Science & Business Media. This book was released on 2013-11-04 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automatic Control in Aerospace 2004

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Publisher : Elsevier
ISBN 13 : 9780080440132
Total Pages : 776 pages
Book Rating : 4.4/5 (41 download)

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Book Synopsis Automatic Control in Aerospace 2004 by : Alexander Nebylov

Download or read book Automatic Control in Aerospace 2004 written by Alexander Nebylov and published by Elsevier. This book was released on 2005-10-03 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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ISBN 13 :
Total Pages : 628 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Control Problems as Equivalent Lagrange Problems

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ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Optimal Control Problems as Equivalent Lagrange Problems by : Stephen Keith Park

Download or read book Optimal Control Problems as Equivalent Lagrange Problems written by Stephen Keith Park and published by . This book was released on 1970 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report describes a method by which an optimal control problem with a compact, connected control region may be transformed into what is called a psi-equivalent Lagrange problem in the calculus of variations. The notion of psi-equivalence is explained and a condition sufficient to guarantee the psi-equivalence of two problems is stated. In particular, it is shown that an optimal control problem with a closed parallepiped control region can, after an appropriate transformation, always be treated as a Lagrange problem.

Optimal Control Problems with Terminal Complementarity Constraints

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (962 download)

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Book Synopsis Optimal Control Problems with Terminal Complementarity Constraints by : Francisco Benita

Download or read book Optimal Control Problems with Terminal Complementarity Constraints written by Francisco Benita and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

NASA Conference Publication

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ISBN 13 :
Total Pages : 824 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis NASA Conference Publication by :

Download or read book NASA Conference Publication written by and published by . This book was released on 1990 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Aerospace Abstracts

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ISBN 13 :
Total Pages : 940 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis International Aerospace Abstracts by :

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1997 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Distributed Parameter Systems Theory: Control

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ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Distributed Parameter Systems Theory: Control by : Peter Stavroulakis

Download or read book Distributed Parameter Systems Theory: Control written by Peter Stavroulakis and published by . This book was released on 1983 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Sufficient Condition in Optimal Control

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ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (254 download)

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Book Synopsis A Sufficient Condition in Optimal Control by : E. B. Lee

Download or read book A Sufficient Condition in Optimal Control written by E. B. Lee and published by . This book was released on 1964 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Necessary Conditions for Optimal Control Problems with Infinite Horizons

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ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (549 download)

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Book Synopsis Necessary Conditions for Optimal Control Problems with Infinite Horizons by : Hubert Halkin

Download or read book Necessary Conditions for Optimal Control Problems with Infinite Horizons written by Hubert Halkin and published by . This book was released on 1972 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a classical optimal control problem the terminal time, either prescribed a priori or not, is always a real number. In many dynamic optimization problems in economics one is lead to consider optimal control problems in which the terminal time is the extended real number + infinity. These are the so called optimal control problems with infinite horizon. In the paper the author gives a precise formulation for a standard problem of that type and establishes a necessary condition for that problem. (Author).

Annual Workshop on Space Operations Automation and Robotics (SOAR ...).

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ISBN 13 :
Total Pages : 732 pages
Book Rating : 4.3/5 (126 download)

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Book Synopsis Annual Workshop on Space Operations Automation and Robotics (SOAR ...). by :

Download or read book Annual Workshop on Space Operations Automation and Robotics (SOAR ...). written by and published by . This book was released on 1989 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Sufficient Theory of Time Optimal Control Problems

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ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis A Sufficient Theory of Time Optimal Control Problems by : Yuan Chia Wang

Download or read book A Sufficient Theory of Time Optimal Control Problems written by Yuan Chia Wang and published by . This book was released on 1975 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Third Annual Workshop on Space Operations Automation and Robotics ((SOAR '89)

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ISBN 13 :
Total Pages : 726 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Third Annual Workshop on Space Operations Automation and Robotics ((SOAR '89) by : United States. National Aeronautics and Space Administration

Download or read book Third Annual Workshop on Space Operations Automation and Robotics ((SOAR '89) written by United States. National Aeronautics and Space Administration and published by . This book was released on 1990 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control of Linear Systems with Large Time Delays in the Control

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ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Control of Linear Systems with Large Time Delays in the Control by : Ronald E. Foerster

Download or read book Control of Linear Systems with Large Time Delays in the Control written by Ronald E. Foerster and published by . This book was released on 1969 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Control

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Publisher : John Wiley & Sons
ISBN 13 : 0470633492
Total Pages : 552 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis Optimal Control by : Frank L. Lewis

Download or read book Optimal Control written by Frank L. Lewis and published by John Wiley & Sons. This book was released on 2012-02-01 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: A NEW EDITION OF THE CLASSIC TEXT ON OPTIMAL CONTROL THEORY As a superb introductory text and an indispensable reference, this new edition of Optimal Control will serve the needs of both the professional engineer and the advanced student in mechanical, electrical, and aerospace engineering. Its coverage encompasses all the fundamental topics as well as the major changes that have occurred in recent years. An abundance of computer simulations using MATLAB and relevant Toolboxes is included to give the reader the actual experience of applying the theory to real-world situations. Major topics covered include: Static Optimization Optimal Control of Discrete-Time Systems Optimal Control of Continuous-Time Systems The Tracking Problem and Other LQR Extensions Final-Time-Free and Constrained Input Control Dynamic Programming Optimal Control for Polynomial Systems Output Feedback and Structured Control Robustness and Multivariable Frequency-Domain Techniques Differential Games Reinforcement Learning and Optimal Adaptive Control