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Extending H-infinity Control to Nonlinear Systems: Control of Nonlinear Systems to Achieve Performance Objectives (Advances in Design and Control, Series Number 1) by J William Helton; Matthew Ronald James is a nonfiction available to read on EtoBox.

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H-infinity control originated from an effort to codify classical control methods, where one shapes frequency response functions 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. The second PDE actually builds on a classical type of partial differential inequality (PDI) called a Bellman-Isaacs inequality. While the information state PDE determines the dynamics of the controller, the PDI determines the output of the controller. The authors explore the system theoretic significance of the PDI and pr

Who reads Extending H-infinity Control to Nonlinear Systems: Control of Nonlinear Systems to Achieve Performance Objectives (Advances in Design and Control, Series Number 1)?

Author

J William Helton; Matthew Ronald James

Publisher

Society for Industrial and Applied Mathematics

Published

1999

Language

EN

ISBN

9780898714401

Category

nonfiction

Subjects

Engineering, Mathematics, Technology