Semiglobal stabilization of nonlinear systems using fuzzy control and singular perturbation methods

  • Authors:

  • C. I. Siettos;G. V. Bafas

  • Affiliations:

  • Department of Chemical Engineering, National Technical University of Athens, 9, Heroon Polytechniou Street, Zografou Campus, Athens 15780, Greece;Department of Chemical Engineering, National Technical University of Athens, 9, Heroon Polytechniou Street, Zografou Campus, Athens 15780, Greece

  • Venue:
  • Fuzzy Sets and Systems - Control and applications
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

Singular perturbation methods based on a Lyapunov approach are implemented for the derivation of sufficient conditions for the semiglobal stabilization with output tracking of nonlinear systems having internal dynamics. The key idea of this approach lies in the decomposition of the full system into a subsystem exhibiting fast dynamics and to a subsystem with slow dynamics, resulting in a substantial simplification of the stability analysis. This two-time scale behavior is achieved by implementing a properly designed fuzzy logic controller, the key element of the proposed model-based composite controller. For the construction of the model-based controller, a new identification technique based on both classical and fuzzy tools is proposed. Results are presented for the semiglobal stabilization of a continuous stirred tank reactor, which is a process with high nonlinear behavior.