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Control and Optimization with Differential-Algebraic Constraints

2012-01-01 Control theory
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Release : 2012-01-01
Genre : Control theory
Kind : eBook
Book Rating : 252/5 ( reviews)

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Book Synopsis Control and Optimization with Differential-Algebraic Constraints by : Lorenz T. Biegler

Download or read book Control and Optimization with Differential-Algebraic Constraints written by Lorenz T. Biegler. This book was released on 2012-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Methods for Optimal Control Problems with State Constraints

2006-11-14 Science
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Release : 2006-11-14
Genre : Science
Kind : eBook
Book Rating : 623/5 ( reviews)

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Book Synopsis Numerical Methods for Optimal Control Problems with State Constraints by : Radoslaw Pytlak

Download or read book Numerical Methods for Optimal Control Problems with State Constraints written by Radoslaw Pytlak. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimal Control Problems with Differential Algebraic Constraints

1993
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Release : 1993
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Optimal Control Problems with Differential Algebraic Constraints by :

Download or read book Optimal Control Problems with Differential Algebraic Constraints written by . This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Control of ODEs and DAEs

2011-12-23 Mathematics
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Release : 2011-12-23
Genre : Mathematics
Kind : eBook
Book Rating : 995/5 ( reviews)

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Book Synopsis Optimal Control of ODEs and DAEs by : Matthias Gerdts

Download or read book Optimal Control of ODEs and DAEs written by Matthias Gerdts. This book was released on 2011-12-23. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition

2020-07-09 Mathematics
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Release : 2020-07-09
Genre : Mathematics
Kind : eBook
Book Rating : 197/5 ( reviews)

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

Download or read book Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition written by John T. Betts. This book was released on 2020-07-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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