Passivity and passification analysis of uncertain discrete‐time fuzzy systems
Abstract
Purpose
Passivity theory is closely related to both electrical network and circuit analysis methods. The purpose of this paper is to try to establish some basic results on the uncertain discrete‐time fuzzy systems.
Design/methodology/approach
Applying the classical and effective Lyapunov function method and the powerful linear matrix inequality toolbox in MATLAB, the paper provides some sufficient conditions to verify the passivity of the uncertain discrete‐time fuzzy systems, or to passify such a system.
Findings
For uncertain discrete‐time fuzzy systems, its passivity can be easily verified numerically, and its passification can also be fulfilled.
Practical implications
A very effective and convenient criterion is provided to test the passivity of practical nonlinear discrete‐time system or to passify it.
Originality/value
This paper first treats this topic on uncertain discrete‐time fuzzy systems and obtains some important results.
Keywords
Citation
Liu, X. (2009), "Passivity and passification analysis of uncertain discrete‐time fuzzy systems", Kybernetes, Vol. 38 No. 3/4, pp. 396-405. https://doi.org/10.1108/03684920910944092
Publisher
:Emerald Group Publishing Limited
Copyright © 2009, Emerald Group Publishing Limited