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Nonlinear Control in the Year 2000

Volume 1

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Alberto Isidori
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  2. Françoise Lamnabhi-Lagarrigue
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  3. Witold Respondek
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  • Has some of the best known names in control theory as contributors

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 258)

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Table of contents (41 papers)

  1. Front Matter

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  2. Subanalyticity of distance and spheres in sub-riemannian geometry

    • Andrei Agrachev, Jean-Paul Gauthier
    Pages 1-8

  3. Principal invariants of Jacobi curves

    • Andrei Agrachev, Igor Zelenko
    Pages 9-21

  4. The de casteljau algorithm on SE(3)

    • Claudio Altafini
    Pages 23-34

  5. Trajectory tracking by cascaded backstepping control for a second-order nonholonomic mechanical system

    • Nnaedozie P. I. Aneke, Henk Nijmeijer, Abraham G. de Jager
    Pages 35-47

  6. Static output feedback stabilization: from linear to nonlinear and back

    • Alessandro Astolfi, Patrizio Colaneri
    Pages 49-71

  7. Semi-linear diffusive representations for nonlinear fractional differential systems

    • Jacques Audounet, Denis Matignon, Gérard Montseny
    Pages 73-82

  8. Controllability properties of a class of control systems on lie groups

    • Victor Ayala, Luiz A. B. San Martin
    Pages 83-92

  9. Stability analysis to parametric uncertainty: Extension to the multivariable case

    • Miguel Ayala Botto, Ton van den Boom, José Sá da Costa
    Pages 93-102

  10. External stability and continuous Liapunov functions

    • Andrea Bacciotti
    Pages 103-112

  11. Optimal control with harmonic rejection of induction machine

    • Iyad Balloul, Mazen Alamir
    Pages 113-121

  12. Nonlinear QFT synthesis based on harmonic balance and multiplier theory

    • Alfonso Baños, Antonio Barreiro, Francisco Gordillo, Javier Aracil
    Pages 123-136

  13. Group invariance and symmetries in nonlinear control and estimation

    • John S. Baras
    Pages 137-169

  14. A globalization procedure for locally stabilizing controllers

    • Jochen Behrens, Fabian Wirth
    Pages 171-184

  15. Optimal control and implicit Hamiltonian systems

    • Guido Blankenstein, Arjan van der Schaft
    Pages 185-205

  16. Robust absolute stability of delay systems

    • Pierre-Alexandre Bliman
    Pages 207-237

  17. Stratification du secteur anormal dans la sphère de Martinet de petit rayon

    • Bernard Bonnard, Emmanuel Trélat
    Pages 239-251

  18. Toward a nonequilibrium theory for nonlinear control systems

    • Christopher I. Byrnes
    Pages 253-275

  19. A regularization of Zubov’s equation for robust domains of attraction

    • Fabio Camilli, Lars Grüne, Fabian Wirth
    Pages 277-289

  20. A remark on Ryan’s generalization of Brockett’s condition to discontinuous stabilizability

    • Francesca Ceragioli
    Pages 291-297
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Keywords

About this book

Control of nonlinear systems, one of the most active research areas in control theory, has always been a domain of natural convergence of research interests in applied mathematics and control engineering. The theory has developed from the early phase of its history, when the basic tool was essentially only the Lyapunov second method, to the present day, where the mathematics ranges from differential geometry, calculus of variations, ordinary and partial differential equations, functional analysis, abstract algebra and stochastic processes, while the applications to advanced engineering design span a wide variety of topics, which include nonlinear controllability and observability, optimal control, state estimation, stability and stabilization, feedback equivalence, motion planning, noninteracting control, disturbance attenuation, asymptotic tracking. The reader will find in the book methods and results which cover a wide variety of problems: starting from pure mathematics (like recent fundamental results on (non)analycity of small balls and the distance function), through its applications to all just mentioned topics of nonlinear control, up to industrial applications of nonlinear control algorithms.

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