On the geometry of the attractive ellipsoids method: Applications to the robust control design of switched systems

Vadim Azhmyakov

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This contribution deals with a robust control design for general switched affine control systems. Dynamical models under consideration are described by ordinary differential equations involving a switching mechanism and in the presence of bounded uncertainties. The design procedure we analyse is based on the newly elaborated attractive ellipsoids method ([32]). The stability and robustness of the resulting closed-loop systeminvolves an abstract Clarke stability theoremand a theoretic extension of the celebrated Lyapunov-typemethodology. A short discussion on the obtained analytic results and possible applications and extensions is also included.

Original languageEnglish
Title of host publicationRobust Control
Subtitle of host publicationSystems, Theory and Analysis
PublisherNova Science Publishers, Inc.
Pages83-101
Number of pages19
ISBN (Electronic)9781536108477
ISBN (Print)9781536108262
StatePublished - 1 Jan 2017

Keywords

  • Attractive ellipsoids
  • Invariant sets
  • Robust control
  • Switched dynamic systems

Product types of Colciencias

  • Chapter in book from research activities

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