Control And Optimization With Differential Algebraic Constraints PDF Download
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Author | : Lorenz T. Biegler |
Publisher | : SIAM |
Total Pages | : 355 |
Release | : 2012-01-01 |
Genre | : Control theory |
ISBN | : 9781611972252 |
Download Control and Optimization with Differential-Algebraic Constraints Book in PDF, ePub and Kindle
Differential-algebraic equations are the most natural way to mathematically model many complex systems in science and engineering. Once the model is derived, it is important to optimize the design parameters and control it in the most robust and efficient way to maximize performance. This book presents the latest theory and numerical methods for the optimal control of differential-algebraic equations. The following features are presented in a readable fashion so the results are accessible to the widest audience: the most recent theory, written by leading experts from a number of academic and nonacademic areas and departments; several state-of-the-art numerical methods; and real-world applications.
Author | : Radoslaw Pytlak |
Publisher | : Springer |
Total Pages | : 224 |
Release | : 2006-11-14 |
Genre | : Science |
ISBN | : 3540486623 |
Download Numerical Methods for Optimal Control Problems with State Constraints Book in PDF, ePub and Kindle
While optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This book fills the gap by providing a family of new methods. Among others, a novel convergence analysis of optimal control algorithms is introduced. The analysis refers to the topology of relaxed controls only to a limited degree and makes little use of Lagrange multipliers corresponding to state constraints. This approach enables the author to provide global convergence analysis of first order and superlinearly convergent second order methods. Further, the implementation aspects of the methods developed in the book are presented and discussed. The results concerning ordinary differential equations are then extended to control problems described by differential-algebraic equations in a comprehensive way for the first time in the literature.
Author | : Matthias Gerdts |
Publisher | : Walter de Gruyter |
Total Pages | : 469 |
Release | : 2011-12-23 |
Genre | : Mathematics |
ISBN | : 3110249995 |
Download Optimal Control of ODEs and DAEs Book in PDF, ePub and Kindle
The intention of this textbook is to provide both, the theoretical and computational tools that are necessary to investigate and to solve optimal control problems with ordinary differential equations and differential-algebraic equations. An emphasis is placed on the interplay between the continuous optimal control problem, which typically is defined and analyzed in a Banach space setting, and discrete optimal control problems, which are obtained by discretization and lead to finite dimensional optimization problems. The book addresses primarily master and PhD students as well as researchers in applied mathematics, but also engineers or scientists with a good background in mathematics and interest in optimal control. The theoretical parts of the book require some knowledge of functional analysis, the numerically oriented parts require knowledge from linear algebra and numerical analysis. Examples are provided for illustration purposes.
Author | : |
Publisher | : |
Total Pages | : 184 |
Release | : 1993 |
Genre | : |
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Download Optimal Control Problems with Differential Algebraic Constraints Book in PDF, ePub and Kindle
Author | : John T. Betts |
Publisher | : SIAM |
Total Pages | : 748 |
Release | : 2020-07-09 |
Genre | : Mathematics |
ISBN | : 1611976197 |
Download Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition Book in PDF, ePub and Kindle
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 |
Total Pages | : 443 |
Release | : 2010-01-01 |
Genre | : Mathematics |
ISBN | : 0898718570 |
Download Practical Methods for Optimal Control and Estimation Using Nonlinear Programming Book in PDF, ePub and Kindle
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 | : Viorel Barbu |
Publisher | : Springer Science & Business Media |
Total Pages | : 271 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401107602 |
Download Mathematical Methods in Optimization of Differential Systems Book in PDF, ePub and Kindle
This work is a revised and enlarged edition of a book with the same title published in Romanian by the Publishing House of the Romanian Academy in 1989. It grew out of lecture notes for a graduate course given by the author at the University if Ia~i and was initially intended for students and readers primarily interested in applications of optimal control of ordinary differential equations. In this vision the book had to contain an elementary description of the Pontryagin maximum principle and a large number of examples and applications from various fields of science. The evolution of control science in the last decades has shown that its meth ods and tools are drawn from a large spectrum of mathematical results which go beyond the classical theory of ordinary differential equations and real analy ses. Mathematical areas such as functional analysis, topology, partial differential equations and infinite dimensional dynamical systems, geometry, played and will continue to play an increasing role in the development of the control sciences. On the other hand, control problems is a rich source of deep mathematical problems. Any presentation of control theory which for the sake of accessibility ignores these facts is incomplete and unable to attain its goals. This is the reason we considered necessary to widen the initial perspective of the book and to include a rigorous mathematical treatment of optimal control theory of processes governed by ordi nary differential equations and some typical problems from theory of distributed parameter systems.
Author | : Weibo Gong |
Publisher | : Springer Science & Business Media |
Total Pages | : 312 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461511399 |
Download Modeling, Control and Optimization of Complex Systems Book in PDF, ePub and Kindle
Modeling, Control And Optimization Of Complex Systems is a collection of contributions from leading international researchers in the fields of dynamic systems, control theory, and modeling. These papers were presented at the Symposium on Modeling and Optimization of Complex Systems in honor of Larry Yu-Chi Ho in June 2001. They include exciting research topics such as: -modeling of complex systems, -power control in ad hoc wireless networks, -adaptive control using multiple models, -constrained control, -linear quadratic control, -discrete events, -Markov decision processes and reinforcement learning, -optimal control for discrete event and hybrid systems, -optimal representation and visualization of multivariate data and functions in low-dimensional spaces.
Author | : Volker L. Mehrmann |
Publisher | : Springer |
Total Pages | : 176 |
Release | : 2014-03-12 |
Genre | : Technology & Engineering |
ISBN | : 9783662185810 |
Download The Autonomous Linear Quadratic Control Problem Book in PDF, ePub and Kindle
A survey is given on the state of the art in theory and numerical solution of general autonomous linear quadratic optimal control problems (continuous and discrete) with differential algebraic equation constraints. It incorporates the newest developments on differential algebraic equations, Riccati equations and invariant subspace problems. In particular, it gives a decision chart of numerical methods, that can be used to determine the right numerical method according to special properties of the problem. The book closes a gap between mathematical theory, numerical solution and engineering application. The mathematical tools are kept as basic as possible in order to address the different groups of readers, mathematicians and engineers.
Author | : Andrea Manzoni |
Publisher | : Springer Nature |
Total Pages | : 507 |
Release | : 2022-01-01 |
Genre | : Mathematics |
ISBN | : 3030772268 |
Download Optimal Control of Partial Differential Equations Book in PDF, ePub and Kindle
This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance. The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes of OCPs that stand behind the advanced applications mentioned above. Starting from simple problems that allow a “hands-on” treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications.