Observer-based robust fuzzy control of nonlinear discrete systems with parametric uncertainties

This paper addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties and the state variables unavailable for measurement. The Tagaki-Sugeno (T-S) discrete fuzzy model system with parametric uncertainties is adopted for modeling the nonlinear system and establishing a fuzzy observer. Sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability and are formulated in the format of linear matrix inequalities (LMIs).