Levine J. Analysis and Control of Nonlinear Systems: A Flatness-based Approach

Springer – 2009, 319 pages
ISBN 3642008380This 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 corresponding trajectory in presence of perturbations. It emphasizes on structural aspects and in particular on a class of systems called differentially flat.
Part 1 discusses the mathematical theory and part 2 outlines applications of this method in the fields of electric drives (DC motors and linear synchronous motors), magnetic bearings, automotive equipments, cranes, and automatic flight control systems.
The author offers web-based videos illustrating some dynamical aspects and case studies in simulation (Scilab and MatLAB).Introduction.- Part II: Theory.- Introduction to Differential Geometry.- Introduction to Dynamical Systems.- Controlled Systems, Controllability.- Jets of Infinite Order, Lie-Backlund's Equivalence.- Differentially Flat Systems.- Flatness and Motion Planning.- Flatness and Tracking.- Part 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.- Automatic Flight Control Systems.- References.- Index