Passivity and passification analysis of uncertain discrete‐time fuzzy systems

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.

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.

For uncertain discrete‐time fuzzy systems, its passivity can be easily verified numerically, and its passification can also be fulfilled.

A very effective and convenient criterion is provided to test the passivity of practical nonlinear discrete‐time system or to passify it.

This paper first treats this topic on uncertain discrete‐time fuzzy systems and obtains some important results.