Controle ótimo H∞ de sistemas não-lineares com modelos fuzzy takagi-sugeno

Abstract

A design method for tracking system with disturbance rejection applied to nonlinear systems using fuzzy control is proposed in this paper. Fuzzy feedforward controllers M (α) and N (α) are designed in order to obtain the tracking system. These controllers minimize the H∞- norm from the reference input signal r(t) to the tracking error signal e(t), where the tracking error signal is the difference between the reference input signal r(t) and the output signal z(t). A dynamic feedback fuzzy controller Kc(α) is designed in order to minimize the H ∞-norm from the disturbance input w(t) to the output z(t). The designs are formulated in Linear Matrix Inequality (LMI) framework, such that the optimal solutions of the stated control problems are obtained. Simulation of a practical problem illustrates the effectiveness of the proposed method.