Robust Observer-Based Control for TS Fuzzy Models Application to Vehicle Lateral Dynamics

This paper deals with the observer based robust control design problem for TS fuzzy systems with time-varying uncertain parameters. Sufficient design conditions of the fuzzy observer and the fuzzy controller are first proposed. Due to the use of Young relation, and the cone-complementary, the nonconvex and Bilinear problems are then converted into convex optimization one with LMI constraints. Controller and observer gains are obtained under ℒ
₂
-bounded disturbance and ℒ
₂
-norm input constraint by set feasible solutions of LMI conditions. The effectiveness of the proposed fuzzy controller and fuzzy observer design methodology is finally demonstrated through numerical simulations on vehicle lateral dynamic model.