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

Author:   M.D.S. Aliyu (Ecole Polytechnique, Montreal, Canada)
Publisher:   Taylor & Francis Ltd
ISBN:  

9781138072756


Pages:   408
Publication Date:   29 March 2017
Format:   Paperback
Availability:   In Print   Availability explained
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Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations


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Author:   M.D.S. Aliyu (Ecole Polytechnique, Montreal, Canada)
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.453kg
ISBN:  

9781138072756


ISBN 10:   1138072753
Pages:   408
Publication Date:   29 March 2017
Audience:   College/higher education ,  General/trade ,  Tertiary & Higher Education ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction Historical Perspective on Nonlinear H∞-Control General Set-Up for Nonlinear H∞-Control Problems Notations and Preliminaries Basics of Differential Games Dynamic Programming Principle Discrete-Time Nonzero-Sum Dynamic Games Continuous-Time Nonzero-Sum Dynamic Games Theory of Dissipative Systems Dissipativity of Continuous-Time Nonlinear Systems l2-Gain Analysis for Continuous-Time Dissipative Systems Continuous-Time Passive Systems Feedback-Equivalence to a Passive Continuous-Time Nonlinear System Dissipativity and Passive Properties of Discrete-Time Nonlinear Systems l2-Gain Analysis for Discrete-Time Dissipative Systems Feedback-Equivalence to a Discrete-Time Lossless Nonlinear System Hamiltonian Mechanics and Hamilton-Jacobi Theory The Hamiltonian Formulation of Mechanics Canonical Transformation The Theory of Nonlinear Lattices The Method of Characteristics for First-Order Partial-Differential Equations Legendre Transform and Hopf-Lax Formula State-Feedback Nonlinear H∞-Control for Continuous-Time Systems State-Feedback H∞-Control for Affine Nonlinear Systems State-Feedback Nonlinear H∞ Tracking Control Robust Nonlinear H∞ State-Feedback Control State-Feedback H∞-Control for Time-Varying Affine Nonlinear Systems State-Feedback H∞-Control for State-Delayed Affine Nonlinear Systems State-Feedback H∞-Control for a General Class of Nonlinear Systems Nonlinear H∞ Almost-Disturbance-Decoupling Output-Feedback Nonlinear H∞-Control for Continuous-Time Systems Output Measurement-Feedback H∞-Control for Affine Nonlinear Systems Output Measurement-Feedback Nonlinear H∞ Tracking Control Robust Output Measurement-Feedback Nonlinear H∞-Control Output Measurement-Feedback H∞-Control for a General Class of Nonlinear Systems Static Output-Feedback Control for Affine Nonlinear Systems Discrete-Time Nonlinear H∞-Control Full-Information H∞-Control for Affine Nonlinear Discrete-Time Systems Output Measurement-Feedback Nonlinear H∞-Control for Affine Discrete-Time Systems Extensions to a General Class of Discrete-Time Nonlinear Systems Approximate Approach to the Discrete-Time Nonlinear H∞-Control Problem Nonlinear H∞-Filtering Continuous-Time Nonlinear H∞-Filtering Continuous-Time Robust Nonlinear H∞-Filtering Certainty-Equivalent Filters (CEFs) Discrete-Time Nonlinear H∞-Filtering Discrete-Time Certainty-Equivalent Filters (CEFs) Robust Discrete-Time Nonlinear H∞-Filtering Singular Nonlinear H∞-Control and H∞-Control for Singularly-Perturbed Nonlinear Systems Singular Nonlinear H∞-Control with State-Feedback Output Measurement-Feedback Singular Nonlinear H∞-Control Singular Nonlinear H∞-Control with Static Output-Feedback Singular Nonlinear H∞-Control for Cascaded Nonlinear Systems H∞-Control for Singularly-Perturbed Nonlinear Systems H∞-Filtering for Singularly-Perturbed Nonlinear Systems Problem Definition and Preliminaries Decomposition Filters Aggregate Filters Examples Mixed H2/H∞ Nonlinear Control Continuous-Time Mixed H2/H∞ Nonlinear Control Discrete-Time Mixed H2/H∞ Nonlinear Control Extension to a General Class of Discrete-Time Nonlinear Systems Mixed H2/H∞ Nonlinear Filtering Continuous-Time Mixed H2/H∞ Nonlinear Filtering Discrete-Time Mixed H2/H∞ Nonlinear Filtering Example Solving the Hamilton-Jacobi Equation Review of Some Approaches for Solving the HJBE/HJIE Solving the Hamilton-Jacobi Equation for Mechanical Systems and Application to the Toda Lattice

Reviews

This book is a comprehensive overview of nonlinear Hâ -control theory for both continuous-time and discrete-time systems. ... The book can be used for a specialized or seminar course in robust and optimal control of nonlinear systems. It is 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. I believe that this book will be cited in many future works in the field of Hâ -control theory. -Vasile Dragan (Bucharest), Mathematical Reviews, 2012D


"""This book is a comprehensive overview of nonlinear H∞-control theory for both continuous-time and discrete-time systems. ... The book can be used for a specialized or seminar course in robust and optimal control of nonlinear systems. It is 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. I believe that this book will be cited in many future works in the field of H∞-control theory."" —Vasile Drăgan (Bucharest), Mathematical Reviews, 2012D ""This book is a comprehensive overview of nonlinear H∞-control theory for both continuous-time and discrete-time systems. ... The book can be used for a specialized or seminar course in robust and optimal control of nonlinear systems. It is 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. I believe that this book will be cited in many future works in the field of H∞-control theory."" —Vasile Drăgan (Bucharest), Mathematical Reviews, 2012D"


This book is a comprehensive overview of nonlinear H -control theory for both continuous-time and discrete-time systems. ... The book can be used for a specialized or seminar course in robust and optimal control of nonlinear systems. It is 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. I believe that this book will be cited in many future works in the field of H -control theory. -Vasile Dragan (Bucharest), Mathematical Reviews, 2012D


This book is a comprehensive overview of nonlinear Hâ -control theory for both continuous-time and discrete-time systems. ... The book can be used for a specialized or seminar course in robust and optimal control of nonlinear systems. It is 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. I believe that this book will be cited in many future works in the field of Hâ -control theory. -Vasile Dragan (Bucharest), Mathematical Reviews, 2012D


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