A new approach to fuzzy modeling and control of discrete-time systems

Research output: Contribution to journalArticlepeer-review

Abstract

We present a new approach to fuzzy modeling and control of discrete-time systems which is based on the formulation of a novel state-space representation using the hyperbolic tangent function. The new representation, designated the hyperbolic model, combines the advantages of fuzzy system theory and classical control theory. On the one hand, the hyperbolic model is easily derived from a set of Mamdani-type fuzzy rules. On the other hand, classical control theory can be applied to design controllers for the hyperbolic model that not only guarantee stability and robustness but are themselves equivalent to a set of Mamdani-type fuzzy rules. Thus, this new approach combines the best of two worlds. It enables linguistic interpretability of both the model and the controller, and guarantees closed-loop stability and robustness.

Original languageEnglish
Pages (from-to)486-494
Number of pages9
JournalIEEE Transactions on Fuzzy Systems
Volume11
Issue number4
DOIs
StatePublished - Aug 2003

Keywords

  • Diagonal stability
  • Linear matrix inequality
  • Linguistic interpretability
  • Nonlinear optimal control
  • Repeated scalar nonlinearities

Fingerprint

Dive into the research topics of 'A new approach to fuzzy modeling and control of discrete-time systems'. Together they form a unique fingerprint.

Cite this