Provides complete coverage of both the Lyapunov and Input-Output stability theories, ina readable, concise manner. * Supplies an introduction to the popular backstepping approach to nonlinear control design * Gives a thorough discussion of the concept of input-to-state stability * Includes a discussion of the fundamentals of feedback linearization and related results. * Details complete coverage of the fundamentals of dissipative system's theory and its application in the so-called L2gain control prooblem, for the first ...
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Provides complete coverage of both the Lyapunov and Input-Output stability theories, ina readable, concise manner. * Supplies an introduction to the popular backstepping approach to nonlinear control design * Gives a thorough discussion of the concept of input-to-state stability * Includes a discussion of the fundamentals of feedback linearization and related results. * Details complete coverage of the fundamentals of dissipative system's theory and its application in the so-called L2gain control prooblem, for the first time in an introductory level textbook. * Contains a thorough discussion of nonlinear observers, a very important problem, not commonly encountered in textbooksat this level. *An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.
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This is an excellent book intended for upper year or graduate students studying control theory. The book is very "readable", unlike most advanced control theory books which are undecipherable due to the complex math used, but not explained.
The book starts with the mathematical preliminaries such as linear algebra and function spaces (Hilbert spaces, norms etc.). There is also a review of linear systems theory/control and how these systems differ to nonlinear systems theory/control, which is the main focus of the book. The book covers in great detail Laypunov methods (linearization, stability, asymptotic stability, global asymptotic stability etc.) and input-output systems theory (passive systems and dissipative systems). Nonlinear H infinity control is also covered as well as exact linearization.
I have only mentioned topics in the book that I have read/used during coursework and research at the graduate level. In general this is the best book I have ever come across for nonlinear control theory. It is very clear, explains all the math required, and also provides excellent examples which really drive home the topics covered. I even use it as a reference while reading other control theory books. If I had one complaint, it would be typos/misprints, but an "almost" complete errata is available on the authors web sight (not all the errors caught). Even still, the typos are not that bad... sometimes an "alpha" shows up as an "a" or something silly.