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Extending H-infinity Control to Nonlinear Systems
J. William Helton
Matthew R. James
其他書名
Control of Nonlinear Systems to Achieve Performance Objectives
出版
SIAM
, 1999-01-01
主題
Technology & Engineering / Mechanical
Mathematics / General
Mathematics / Calculus
Mathematics / Linear & Nonlinear Programming
ISBN
0898719844
9780898719840
URL
http://books.google.com.hk/books?id=Vt7o0dbQtuwC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.