Passivity and passification of uncertain discrete-time fuzzy systems

Takagi-Sugeno (T-S) fuzzy model provides an effective representation of complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning applied to a set of linear input/output submodels. In this paper, the passivity and feedback passification of discrete-time fuzzy systems with parametric uncertainties are investigated. The passivity condition and the state feedback passification design can be cast in terms of linear matrix inequalities (LMIs) format. Numerical examples are given which illustrate the effectiveness of the theoretical results.