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Extending H-infinity Control to Nonlinear Systems

1999-01-01 Technology & Engineering
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Release : 1999-01-01
Genre : Technology & Engineering
Kind : eBook
Book Rating : 400/5 ( reviews)

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Book Synopsis Extending H-infinity Control to Nonlinear Systems by : J. William Helton

Download or read book Extending H-infinity Control to Nonlinear Systems written by J. William Helton. This book was released on 1999-01-01. Available in PDF, EPUB and Kindle. Book excerpt: H-infinity control made considerable strides toward systematizing classical control. This bookaddresses how this extends to nonlinear systems.

Extending H-infinity Control to Nonlinear Systems

1999-01-01 H [infinity symbol] control
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Release : 1999-01-01
Genre : H [infinity symbol] control
Kind : eBook
Book Rating : 840/5 ( reviews)

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Book Synopsis Extending H-infinity Control to Nonlinear Systems by : J. William Helton

Download or read book Extending H-infinity Control to Nonlinear Systems written by J. William Helton. This book was released on 1999-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations

2017-12-19 Mathematics
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Release : 2017-12-19
Genre : Mathematics
Kind : eBook
Book Rating : 858/5 ( reviews)

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Book Synopsis Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations by : M.D.S. Aliyu

Download or read book Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations written by M.D.S. Aliyu. This book was released on 2017-12-19. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Le guide des familles

1889
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Release : 1889
Genre :
Kind : eBook
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Book Synopsis Le guide des familles by :

Download or read book Le guide des familles written by . This book was released on 1889. Available in PDF, EPUB and Kindle. Book excerpt:

H-infinity Control for Nonlinear Descriptor Systems

2006-01-18 Technology & Engineering
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Release : 2006-01-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 898/5 ( reviews)

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Book Synopsis H-infinity Control for Nonlinear Descriptor Systems by : He-Sheng Wang

Download or read book H-infinity Control for Nonlinear Descriptor Systems written by He-Sheng Wang. This book was released on 2006-01-18. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a study of the H-infinity control problem and related topics for descriptor systems, described by a set of nonlinear differential-algebraic equations. They derive necessary and sufficient conditions for the existence of a controller solving the standard nonlinear H-infinity control problem considering both state and output feedback. One such condition for the output feedback control problem to be solvable is obtained in terms of Hamilton–Jacobi inequalities and a weak coupling condition; a parameterization of output feedback controllers solving the problem is also provided. All of these results are then specialized to the linear case. The derivation of state-space formulae for all controllers solving the standard H-infinity control problem for descriptor systems is proposed. Among other important topics covered are balanced realization, reduced-order controller design and mixed H2/H-infinity control. "H-infinity Control for Nonlinear Descriptor Systems" provides a comprehensive introduction and easy access to advanced topics.

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