Fuzzy Gain-Scheduling Nonlinear Parametric Uncertain System

Abstract

This paper has presented two main issues related to ∞ H robust fuzzy control. The first has been fuzzy modeling of nonlinear dynamical systems, whereas the second was directed towards ∞ H fuzzy gain-scheduling control systems. Regarding fuzzy modeling, that was achieved by employing TakagiSugeno (T-S) fuzzy modeling technique. Employed (T-S) modeling technique was able to cluster an entire nonlinear global model into linear sub-models. With respect to the ∞ H fuzzy gain-scheduling, the paper first presented an approach for designing ∞ H fuzzy controller for disturbance rejection via defining a suitable Lyapunov potential function of the fuzzy model, hence designing a controller by reducing the problem to a standard Linear Matrix Inequalities (LMI) formulation. ∞ H fuzzy gain-scheduling was achieved via treating the (T-S) fuzzy sub-models as a Linear Parameter Varying (LPV) system, hence synthesizing a scheduling controller for variation in parameters. KeywordsHfuzzy; robust control; Takagi-Sugeno, Time Varying systems