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A Comparison Between Steepest Ascent And Differential Correction Optimization Methods In A Problem Of Bolza With A Method For Obtaining Starting Values For The Adjoint Variables From A Nominal Path
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Book Synopsis A Comparison Between Steepest Ascent and Differential Correction Optimization Methods in a Problem of Bolza, With a Method for Obtaining Starting Values for the Adjoint Variables From a Nominal Path by : William W Good Robert C McCue
Download or read book A Comparison Between Steepest Ascent and Differential Correction Optimization Methods in a Problem of Bolza, With a Method for Obtaining Starting Values for the Adjoint Variables From a Nominal Path written by William W Good Robert C McCue and published by Hassell Street Press. This book was released on 2021-09-09 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis A Comparison Between Steepest Ascent and Differential Correction Optimization Methods in a Problem of Bolza, with a Method for Obtaining Starting Values for the Adjoint Variables from a Nominal Path by : William W. McCue
Download or read book A Comparison Between Steepest Ascent and Differential Correction Optimization Methods in a Problem of Bolza, with a Method for Obtaining Starting Values for the Adjoint Variables from a Nominal Path written by William W. McCue and published by . This book was released on 1963 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two methods of treating the problem of maximum range atmospheric reentry for an orbiting lifting glider are compared. A comparison of results is made, showing large differences in control variable history, and longer range for the path obtained by differential corrections. The problem was characterized by a sharp ridge in the domain of the starting values of the adjoint variables and the effect of this on the convergence of both methods is discussed. Finally, the difficulty of choosing initial approximations for the starting values of the adjoint variables is discussed, and a method is presented for obtaining these from a nominal path as the first step in the computer routine.
Book Synopsis Technical Report/research Paper by :
Download or read book Technical Report/research Paper written by and published by . This book was released on 1963 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computing Methods in Optimization Problems by : A. V. Balakrishnan
Download or read book Computing Methods in Optimization Problems written by A. V. Balakrishnan and published by Academic Press. This book was released on 2014-05-12 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing Methods in Optimization Problems deals with hybrid computing methods and optimization techniques using computers. One paper discusses different numerical approaches to optimizing trajectories, including the gradient method, the second variation method, and a generalized Newton-Raphson method. The paper cites the advantages and disadvantages of each method, and compares the second variation method (a direct method) with the generalized Newton-Raphson method (an indirect method). An example problem illustrates the application of the three methods in minimizing the transfer time of a low-thrust ion rocket between the orbits of Earth and Mars. Another paper discusses an iterative process for steepest-ascent optimization of orbit transfer trajectories to minimize storage requirements such as in reduced memory space utilized in guidance computers. By eliminating state variable storage and control schedule storage, the investigator can achieve reduced memory requirements. Other papers discuss dynamic programming, invariant imbedding, quasilinearization, Hilbert space, and the computational aspects of a time-optimal control problem. The collection is suitable for computer programmers, engineers, designers of industrial processes, and researchers involved in aviation or control systems technology.
Book Synopsis Research Paper by : Naval Postgraduate School (U.S.)
Download or read book Research Paper written by Naval Postgraduate School (U.S.) and published by . This book was released on 1963 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research Paper written by and published by . This book was released on 1964 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Abstracts of Dissertations, Theses and Research Papers Submitted by Candidates for Degrees by : Naval Postgraduate School (U.S.)
Download or read book Abstracts of Dissertations, Theses and Research Papers Submitted by Candidates for Degrees written by Naval Postgraduate School (U.S.) and published by . This book was released on 1961 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Faculty and Staff Reprints by : Naval Postgraduate School (U.S.)
Download or read book Faculty and Staff Reprints written by Naval Postgraduate School (U.S.) and published by . This book was released on 1962 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Comparison of a Discrete Steepest Ascent Method with the Continuous Steepest Ascent Method for Optimal Programing by : A. Gary Childs
Download or read book Comparison of a Discrete Steepest Ascent Method with the Continuous Steepest Ascent Method for Optimal Programing written by A. Gary Childs and published by . This book was released on 1971 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discrete steepest ascent method which allows controls which are not piecewise constant (for example, it allows all continuous piecewise linear controls) is derived for the solution of optimal programing problems. This method is based on the continuous steepest ascent method of Bryson and Denham and new concepts introduced by Kelley and Denham in their development of "compatible" adjoints for taking into account the effects of numerical integration. The method is a generalization of the algorithm suggested by Canon, Cullum, and Polak with the details of the gradient computation given. The discrete method is compared with the continuous method for an aerodynamics problem for which an analytic solution is given by Pontryagin's maximum principle, and numerical results are presented. The discrete method converges more rapidly than the continuous method at first, but then for some undetermined reason, loses its exponential convergence rate. A comparison is also made for the algorithm of Canon, Cullum, and Polak using piecewise constant controls. This algorithm is very competitive with the continuous algorithm.
Book Synopsis Procedures to Check the Adjoint Equations when Using the Method of Steepest Ascent by : Gerald Cook
Download or read book Procedures to Check the Adjoint Equations when Using the Method of Steepest Ascent written by Gerald Cook and published by . This book was released on 1969 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Aerospace Guidance, Navigation and Control by : Florian Holzapfel
Download or read book Advances in Aerospace Guidance, Navigation and Control written by Florian Holzapfel and published by Springer Science & Business Media. This book was released on 2011-03-15 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last few decades, both the aeronautics and space disciplines have greatly influenced advances in controls, sensors, data fusion and navigation. Many of those achievements that made the word “aerospace” synonymous with “high–tech” were enabled by innovations in guidance, navigation and control. Europe has seen a strong trans-national consolidation process in aerospace over the last few decades. Most of the visible products, like commercial aircraft, fighters, helicopters, satellites, launchers or missiles, are not made by a single country – they are the fruits of cooperation. No European country by itself hosts a specialized guidance, navigation and controls community large enough to cover the whole spectrum of disciplines. However, on a European scale, mutual exchange of ideas, concepts and solutions is enriching for all. The 1st CEAS Specialist Conference on Guidance, Navigation and Control is an attempt to bring this community together. This book is a selection of papers presented at the conference. All submitted papers have gone through a formal review process in compliance with good journal practices. The best papers have been recommended by the reviewers to be published in this book.
Book Synopsis Optimal Trajectories in Atmospheric Flight by : Nguyen Vinh
Download or read book Optimal Trajectories in Atmospheric Flight written by Nguyen Vinh and published by Elsevier. This book was released on 2012-12-02 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Trajectories in Atmospheric Flight deals with the optimization of trajectories in atmospheric flight. The book begins with a simple treatment of functional optimization followed by a discussion of switching theory. It then presents the derivation of the general equations of motion along with the basic knowledge in aerodynamics and propulsion necessary for the analysis of atmospheric flight trajectories. It goes on to the study of optimal trajectories by providing the general properties of the optimal aerodynamic controls and the integrals of motion. This is followed by discussions of high subsonic and supersonic flight, and approximation techniques to reduce the order of the problem for a fast computation of the optimal trajectory. The final chapters present analyses of optimal reentry trajectories and orbital maneuvers. This book is intended as a reference text for scientists and engineers wanting to get into the subject of optimal trajectories in atmospheric flight. If used for teaching purposes, the book is written in a self-contained way so that a selective use of the material is at the discretion of the lecturer. The first 11 chapters are sufficient for a one-semester course with emphasis on optimal maneuvers of high performance aircraft.
Book Synopsis Mathematical Optimization Techniques by : Richard Bellman
Download or read book Mathematical Optimization Techniques written by Richard Bellman and published by Univ of California Press. This book was released on 2022-05-27 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1963.
Book Synopsis Hybrid Systems, Optimal Control and Hybrid Vehicles by : Thomas J. Böhme
Download or read book Hybrid Systems, Optimal Control and Hybrid Vehicles written by Thomas J. Böhme and published by Springer. This book was released on 2017-02-01 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book assembles new methods showing the automotive engineer for the first time how hybrid vehicle configurations can be modeled as systems with discrete and continuous controls. These hybrid systems describe naturally and compactly the networks of embedded systems which use elements such as integrators, hysteresis, state-machines and logical rules to describe the evolution of continuous and discrete dynamics and arise inevitably when modeling hybrid electric vehicles. They can throw light on systems which may otherwise be too complex or recondite. Hybrid Systems, Optimal Control and Hybrid Vehicles shows the reader how to formulate and solve control problems which satisfy multiple objectives which may be arbitrary and complex with contradictory influences on fuel consumption, emissions and drivability. The text introduces industrial engineers, postgraduates and researchers to the theory of hybrid optimal control problems. A series of novel algorithmic developments provides tools for solving engineering problems of growing complexity in the field of hybrid vehicles. Important topics of real relevance rarely found in text books and research publications—switching costs, sensitivity of discrete decisions and there impact on fuel savings, etc.—are discussed and supported with practical applications. These demonstrate the contribution of optimal hybrid control in predictive energy management, advanced powertrain calibration, and the optimization of vehicle configuration with respect to fuel economy, lowest emissions and smoothest drivability. Numerical issues such as computing resources, simplifications and stability are treated to enable readers to assess such complex systems. To help industrial engineers and managers with project decision-making, solutions for many important problems in hybrid vehicle control are provided in terms of requirements, benefits and risks.
Book Synopsis A Century of Excellence in Measurements, Standards, and Technology by : David R. Lide
Download or read book A Century of Excellence in Measurements, Standards, and Technology written by David R. Lide and published by CRC Press. This book was released on 2001-10-30 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Established by Congress in 1901, the National Bureau of Standards (NBS), now the National Institute of Standards and Technology (NIST), has a long and distinguished history as the custodian and disseminator of the United States' standards of physical measurement. Having reached its centennial anniversary, the NBS/NIST reflects on and celebrates its first century with this book describing some of its seminal contributions to science and technology. Within these pages are 102 vignettes that describe some of the Institute's classic publications. Each vignette relates the context in which the publication appeared, its impact on science, technology, and the general public, and brief details about the lives and work of the authors. The groundbreaking works depicted include: A breakthrough paper on laser-cooling of atoms below the Doppler limit, which led to the award of the 1997 Nobel Prize for Physics to William D. Phillips The official report on the development of the radio proximity fuse, one of the most important new weapons of World War II The 1932 paper reporting the discovery of deuterium in experiments that led to Harold Urey's1934 Nobel Prize for Chemistry A review of the development of the SEAC, the first digital computer to employ stored programs and the first to process images in digital form The first paper demonstrating that parity is not conserved in nuclear physics, a result that shattered a fundamental concept of theoretical physics and led to a Nobel Prize for T. D. Lee and C. Y. Yang "Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor," a 1995 paper that has already opened vast new areas of research A landmark contribution to the field of protein crystallography by Wlodawer and coworkers on the use of joint x-ray and neutron diffraction to determine the structure of proteins
Book Synopsis Mathematical Control Theory by : John B. Baillieul
Download or read book Mathematical Control Theory written by John B. Baillieul and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume on mathematical control theory contains high quality articles covering the broad range of this field. The internationally renowned authors provide an overview of many different aspects of control theory, offering a historical perspective while bringing the reader up to the very forefront of current research.
