Design and simulation of structure-variable control systems based on multi-valued Lyapunov functions

  • Authors:

  • F. Niewels;H. Kiendl

  • Affiliations:

  • University of Dortmund, Faculty of Electrical Engineering and Information Technology, Otto-Hahn-Straße 4, D-44221 Dortmund, Germany;University of Dortmund, Faculty of Electrical Engineering and Information Technology, Otto-Hahn-Straße 4, D-44221 Dortmund, Germany

  • Venue:
  • Systems Analysis Modelling Simulation
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper we consider the design of time continuous controllers for linear plants. A universal design concept for structure-variable controllers is summarized. The potential of multi-valued Lyapunov functions within this concept, in general, is highlighted and the concept is extended to make use of these functions. The key point of these extensions is a stability lemma that is based on multi-valued Lyapunov functions. The extended design concept supplies a better performance while still guaranteeing the stability of the resulting control system. The results are used in combination with a special version of the design concept, which is also summarized. Specific attention is paid to simulation aspects and the requirements arising from the multi-valued nature of the Lyapunov functions used. Finally, an example of an application is given.