Description
Book SynopsisThe purpose of this book is to present a self-contained description of the fun damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teach ing at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl-Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985.
Trade ReviewFrom the reviews:
Isidori's book is essential for anyone preparing for serious reading or basic research in the differential geometric approach to control theory and will not disappoint those mathematically trained. I have observed its use in the hands of two teachers other than the author; the students enjoyed it and made good use of it later. There is no universal solvent for nonlinear control problems, but the methods presented here are powerful.
IEEE Transactions on Automatic Control 43 (1997) 1043-1044 (Reviewer: David L. Elliott)
Table of Contents1. Local Decompositions of Control Systems.- 2. Global Decompositions of Control Systems.- 3. Input-Output Maps and Realization Theory.- 4. Elementary Theory of Nonlinear Feedback for Single-Input Single-Output Systems.- 5. Elementary Theory of Nonlinear Feedback for Multi-Input Multi-Output Systems.- 6. Geometric Theory of State Feedback: Tools.- 7. Geometric Theory of Nonlinear Systems: Applications.- 8. Tracking and Regulation.- 9. Global Feedback Design for Single-Input Single-Output Systems.- A. Appendix A.- A.1 Some Facts from Advanced Calculus.- A.2 Some Elementary Notions of Topology.- A.3 Smooth Manifolds.- A.4 Submanifolds.- A.5 Tangent Vectors.- A.6 Vector Fields.- B. Appendix B.- B.1 Center Manifold Theory.- B.2 Some Useful Properties.- B.3 Local Geometric Theory of Singular Perturbations.- Bibliographical Notes.- References.
