Observer based fuzzy control design for singularly perturbed nonlinear systems with parametric uncertainties

This paper addresses the observer based fuzzy control design for nonlinear singularly perturbed systems in the presence of parametric uncertainties. The Tagkagi-Sugeno (T-S) fuzzy model is adopted for fuzzy model of the singularly perturbed nonlinear systems with parametric uncertainties. Based on the Lyapunov stability theorem and the tool of linear matrix inequality (LMI), we solve some gain matrices, some positive constants and a common positive-definite matrix. And then a sufficient condition is derived to stabilize the singularly perturbed nonlinear systems with parametric uncertainties. Moreover, by the guaranteed ε-bound issue, the proposed scheme can stabilize the systems for all ε ∈(0,ε*). A practical system is given to illustrate the validity of the proposed scheme.