Approximation of Hamilton-Jacobi Equations Arising in Nonlinear H [infinity] Control Problems PDF Download
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![Approximation of Hamilton-Jacobi Equations Arising in Nonlinear H [infinity] Control Problems PDF](https://books.google.com/books/content/images/frontcover/If_ZtgAACAAJ?fife=w150-h200)
Author: Fabio Camilli
Publisher:
ISBN:
Category : H infinity symbol control
Languages : en
Pages : 15
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![Approximation of Hamilton-Jacobi Equations Arising in Nonlinear H [infinity] Control Problems PDF](https://books.google.com/books/content/images/frontcover/If_ZtgAACAAJ?fife=w80-h100)
Author: Fabio Camilli
Publisher:
ISBN:
Category : H infinity symbol control
Languages : en
Pages : 15
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Book Description
![Numerical Solutions of the Hamilton-Jacobi Equations Arising in Nonlinear H[infinity] and Optimal Control PDF](https://books.google.com/books/content/images/frontcover/4E4gOAAACAAJ?fife=w80-h100)
Author: Jerry Markman
Publisher:
ISBN:
Category :
Languages : en
Pages : 228
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Author: Murad Abu-Khalaf
Publisher: Springer Science & Business Media
ISBN: 1846283507
Category : Technology & Engineering
Languages : en
Pages : 218
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Book Description
This book provides techniques to produce robust, stable and useable solutions to problems of H-infinity and H2 control in high-performance, non-linear systems for the first time. The book is of importance to control designers working in a variety of industrial systems. Case studies are given and the design of nonlinear control systems of the same caliber as those obtained in recent years using linear optimal and bounded-norm designs is explained.
Author: Adriano Festa
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659140532
Category :
Languages : en
Pages : 128
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Book Description
This book deals with the development and the analysis of numerical methods for the resolution of first order nonlinear differential equations of Hamilton-Jacobi type on irregular data. These equations arises for example in the study of front propagation via the level set methods, the Shape-from-Shading problem and, in general, in Control theory. Our contribution to the numerical approximation of Hamilton-Jacobi equations consists in the proposal of some semiLagrangian schemes for different kind of discontinuous Hamiltonian and in an analysis of their convergence and a comparison of the results on some test problems. In particular we will approach with an eikonal equation with discontinuous coefficients in a well posed case of existence of Lipschitz continuous solutions. Furthermore, we propose a semiLagrangian scheme also for a Hamilton-Jacobi equation of a eikonal type on a ramified space, for example a graph. This is a not classical domain and only in last years there are developed a systematic theory about this. We present, also, some applications of our results on several problems arise from applied sciences.
Author: Yves Achdou
Publisher: Springer
ISBN: 3642364330
Category : Mathematics
Languages : en
Pages : 316
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Book Description
These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity solutions, asymptotic behaviors, mean field games, approximation and numerical methods, idempotent analysis. The content of the courses ranged from an introduction to viscosity solutions to quite advanced topics, at the cutting edge of research in the field. We believe that they opened perspectives on new and delicate issues. These lecture notes contain four contributions by Yves Achdou (Finite Difference Methods for Mean Field Games), Guy Barles (An Introduction to the Theory of Viscosity Solutions for First-order Hamilton-Jacobi Equations and Applications), Hitoshi Ishii (A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations) and Grigory Litvinov (Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations).
Author: M.D.S. Aliyu
Publisher: CRC Press
ISBN: 1351833219
Category : Mathematics
Languages : en
Pages : 407
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Book Description
A comprehensive overview of nonlinear H∞ control theory for both continuous-time and discrete-time systems, Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers topics as diverse as singular nonlinear H∞-control, nonlinear H∞ -filtering, mixed H2/ H∞-nonlinear control and filtering, nonlinear H∞-almost-disturbance-decoupling, and algorithms for solving the ubiquitous Hamilton-Jacobi-Isaacs equations. The link between the subject and analytical mechanics as well as the theory of partial differential equations is also elegantly summarized in a single chapter. Recent progress in developing computational schemes for solving the Hamilton-Jacobi equation (HJE) has facilitated the application of Hamilton-Jacobi theory in both mechanics and control. As there is currently no efficient systematic analytical or numerical approach for solving them, the biggest bottle-neck to the practical application of the nonlinear equivalent of the H∞-control theory has been the difficulty in solving the Hamilton-Jacobi-Isaacs partial differential-equations (or inequalities). In light of this challenge, the author hopes to inspire continuing research and discussion on this topic via examples and simulations, as well as helpful notes and a rich bibliography. Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations was written for practicing professionals, educators, researchers and graduate students in electrical, computer, mechanical, aeronautical, chemical, instrumentation, industrial and systems engineering, as well as applied mathematics, economics and management.
![On the Hamilton-Jacobi Equation of Nonlinear H[infinity] Optimal Control PDF](https://books.google.com/books/content/images/frontcover/dCJgHAAACAAJ?fife=w80-h100)
Author: A. J. van der Schaft
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Author: J. William Helton
Publisher: SIAM
ISBN: 9780898719840
Category : H [infinity symbol] control
Languages : en
Pages : 355
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Book Description
H-infinity control originated from an effort to codify classical control methods, where one shapes frequency response functions for linear systems to meet certain objectives. H-infinity control underwent tremendous development in the 1980s and made considerable strides toward systematizing classical control. This book addresses the next major issue of how this extends to nonlinear systems. At the core of nonlinear control theory lie two partial differential equations (PDEs). One is a first-order evolution equation called the information state equation, which constitutes the dynamics of the controller. One can view this equation as a nonlinear dynamical system. Much of this volume is concerned with basic properties of this system, such as the nature of trajectories, stability, and, most important, how it leads to a general solution of the nonlinear H-infinity control problem.
Author: Arturo Locatelli
Publisher: Springer Science & Business Media
ISBN: 9783764364083
Category : Education
Languages : en
Pages : 318
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Book Description
From the reviews: "The style of the book reflects the author’s wish to assist in the effective learning of optimal control by suitable choice of topics, the mathematical level used, and by including numerous illustrated examples. . . .In my view the book suits its function and purpose, in that it gives a student a comprehensive coverage of optimal control in an easy-to-read fashion." —Measurement and Control
Author: Olga Lepsky
Publisher:
ISBN:
Category :
Languages : en
Pages : 224
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Book Description
