Analysis and Control of Nonlinear Systems

A Flatness-based Approach

  • Jean Levine

Part of the Mathematical Engineering book series (MATHENGIN)

Table of contents

  1. Front Matter
    Pages 1-12
  2. Jean Lévine
    Pages 1-10
  3. Theory

    1. Front Matter
      Pages 1-1
    2. Jean Lévine
      Pages 13-41
    3. Jean Lévine
      Pages 43-86
    4. Jean Lévine
      Pages 87-105
    5. Jean Lévine
      Pages 131-179
    6. Jean Lévine
      Pages 181-191
    7. Jean Lévine
      Pages 193-199
  4. Applications

    1. Front Matter
      Pages 1-1
    2. Jean Lévine
      Pages 203-209
    3. Jean Lévine
      Pages 243-277
    4. Jean Lévine
      Pages 279-294
    5. Jean Lévine
      Pages 295-315
  5. Back Matter
    Pages 1-3

About this book


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 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).


Control systems MATLAB Tracking control control system differential geometry dynamical system motion planning nonlinear system nonlinear systems simulation system system theory systems theory trajectory tracking

Authors and affiliations

  • Jean Levine

There are no affiliations available

Bibliographic information

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