Practical Methods for Optimal Control and Estimation Using Nonlinear Programming

Practical Methods for Optimal Control and Estimation Using Nonlinear Programming PDF Author: John T. Betts
Publisher: SIAM
ISBN: 0898716888
Category : Mathematics
Languages : en
Pages : 442

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Book Description
A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.

Practical Methods for Optimal Control and Estimation Using Nonlinear Programming

Practical Methods for Optimal Control and Estimation Using Nonlinear Programming PDF Author: John T. Betts
Publisher: SIAM
ISBN: 0898716888
Category : Mathematics
Languages : en
Pages : 442

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Book Description
A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.

Numerical Methods for Stochastic Control Problems in Continuous Time

Numerical Methods for Stochastic Control Problems in Continuous Time PDF Author: Harold Kushner
Publisher: Springer Science & Business Media
ISBN: 146130007X
Category : Mathematics
Languages : en
Pages : 480

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Book Description
Stochastic control is a very active area of research. This monograph, written by two leading authorities in the field, has been updated to reflect the latest developments. It covers effective numerical methods for stochastic control problems in continuous time on two levels, that of practice and that of mathematical development. It is broadly accessible for graduate students and researchers.

Variational Calculus, Optimal Control and Applications

Variational Calculus, Optimal Control and Applications PDF Author: Leonhard Bittner
Publisher: Birkhäuser
ISBN: 3034888023
Category : Mathematics
Languages : en
Pages : 354

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Book Description
The 12th conference on "Variational Calculus, Optimal Control and Applications" took place September 23-27, 1996, in Trassenheide on the Baltic Sea island of Use dom. Seventy mathematicians from ten countries participated. The preceding eleven conferences, too, were held in places of natural beauty throughout West Pomerania; the first time, in 1972, in Zinnowitz, which is in the immediate area of Trassenheide. The conferences were founded, and led ten times, by Professor Bittner (Greifswald) and Professor KlCitzler (Leipzig), who both celebrated their 65th birthdays in 1996. The 12th conference in Trassenheide, was, therefore, also dedicated to L. Bittner and R. Klotzler. Both scientists made a lasting impression on control theory in the former GDR. Originally, the conferences served to promote the exchange of research results. In the first years, most of the lectures were theoretical, but in the last few conferences practical applications have been given more attention. Besides their pioneering theoretical works, both honorees have also always dealt with applications problems. L. Bittner has, for example, examined optimal control of nuclear reactors and associated safety aspects. Since 1992 he has been working on applications in optimal control in flight dynamics. R. Klotzler recently applied his results on optimal autobahn planning to the south tangent in Leipzig. The contributions published in these proceedings reflect the trend to practical problems; starting points are often questions from flight dynamics.

Formulation and Numerical Solution of Quantum Control Problems

Formulation and Numerical Solution of Quantum Control Problems PDF Author: Alfio Borzi
Publisher: SIAM
ISBN: 1611974836
Category : Technology & Engineering
Languages : en
Pages : 396

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Book Description
This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schr?dinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose?Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework. This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods. ??

On the Numerical Solution of Nonlinear and Hybrid Optimal Control Problems

On the Numerical Solution of Nonlinear and Hybrid Optimal Control Problems PDF Author: Matthias Rungger
Publisher: kassel university press GmbH
ISBN: 3862193667
Category : Nonlinear control theory
Languages : en
Pages : 150

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Book Description


Fast Numerical Methods for Mixed-Integer Nonlinear Model-Predictive Control

Fast Numerical Methods for Mixed-Integer Nonlinear Model-Predictive Control PDF Author: Christian Kirches
Publisher: Springer Science & Business Media
ISBN: 383488202X
Category : Computers
Languages : en
Pages : 380

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Book Description
Christian Kirches develops a fast numerical algorithm of wide applicability that efficiently solves mixed-integer nonlinear optimal control problems. He uses convexification and relaxation techniques to obtain computationally tractable reformulations for which feasibility and optimality certificates can be given even after discretization and rounding.

Max-Plus Methods for Nonlinear Control and Estimation

Max-Plus Methods for Nonlinear Control and Estimation PDF Author: William M. McEneaney
Publisher: Springer Science & Business Media
ISBN: 0817644539
Category : Mathematics
Languages : en
Pages : 252

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Book Description
The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality. The max-plus-based methods examined in this work belong to an entirely new class of numerical methods for the solution of nonlinear control problems and their associated Hamilton–Jacobi–Bellman (HJB) PDEs; these methods are not equivalent to either of the more commonly used finite element or characteristic approaches. Max-Plus Methods for Nonlinear Control and Estimation will be of interest to applied mathematicians, engineers, and graduate students interested in the control of nonlinear systems through the implementation of recently developed numerical methods.

Optimal Control

Optimal Control PDF Author: Bulirsch
Publisher: Birkhäuser
ISBN: 3034875398
Category : Science
Languages : en
Pages : 352

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Book Description
"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.

Fast Solution of Discretized Optimization Problems

Fast Solution of Discretized Optimization Problems PDF Author: Karl-Heinz Hoffmann
Publisher: Birkhäuser
ISBN: 3034882335
Category : Mathematics
Languages : en
Pages : 292

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Book Description
A collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. This welcome reference for many new results and recent methods is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory.

System Modelling and Optimization

System Modelling and Optimization PDF Author: Jacques Henry
Publisher: Springer
ISBN: 3540393374
Category : Technology & Engineering
Languages : en
Pages : 972

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Book Description
This conference, organized jointly by UTC and INRIA, is the biennial general conference of the IFIP Technical Committee 7 (System Modelling and Optimization), and reflects the activity of its members and working groups. These proceedings contain a collection of papers (82 from the more than 400 submitted) as well as the plenary lectures presented at the conference.