Analysis and Control of Nonlinear Systems A Flatness-based Approach [Paperback]

This book examines control of nonlinear systems. Coverage ranges from mathematical system theory to practical industrial control applications. The author offers web-based videos illustrating some dynamical aspects and case studies in simulation.

I THEORY.- to Differential Geometry.- to Dynamical Systems.- Controlled Systems, Controllability.- Jets of Infinite Order, Lie-B#x00E4;cklund#x2019;s Equivalence.- Differentially Flat Systems.- Flatness and Motion Planning.- Flatness and Tracking.- II APPLICATIONS.- DC Motor Starting Phase.- Displacements of a Linear Motor With Oscillating Masses.- Synchronization of a Pair of Independent Windshield Wipers.- Control of Magnetic Bearings.- Crane Control.- Automatic Flight Control Systems.

From the reviews:

This book is focused mainly on the analysis of so-called nonlinear flat systems. & The book is published in the mathematical engineering series, and as a consequence the differential geometry content is presented in a very accessible applied mathematics way. (Guy Jumarie, Zentralblatt MATH, Vol. 1167, 2009)

This book provides an introduction to the theory of deterministic, continuous-time, finite-dimensional, nonlinear control systems from the particular differential-algebraic point of view, with the notion of flatness as the fundamental underlying principle. & this book is the first extensive treatment of the notion of flatness in monograph form. As such, it is certainly a useful addition to the control-theory literature. A particular strength of the book is its detailed treatment of many examples & . (Kevin A. Grasse, Mathematical Reviews, Issue 2011 j)

This is the first book on a hot topic in the field of control of nonlinear systems. It ranges from mathematical system theory to practical industrial control applications and addresses two fundamental questions in Systems and Control: how to plan the motion of a system and track the corl3‹