Extending H.(Infinity) Control to Nonlinear Systems
Control of Nonlinear Systems to Achieve Performance Objectives
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Extending H.(Infinity) Control to Nonlinear Systems by J. William Helton
Book DescriptionH-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.
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Book DetailsISBN: 9780898714401
(254mm x 178mm x 18mm)
Imprint: Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publish Date: 1-Jan-1987
Country of Publication: United States
Books By Author J. William Helton
Classical Control Using H.(Infinity) Methods, Paperback (January 1987)» View all books by J. William Helton
Separated into modules, this text teaches control system design using H-infinity techniques. The authors begin by teaching how to formulate control system design problems as mathematical optimization problems and then discuss the theory and numerics for these optimization problems.
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