Robust reliable H∞ control for uncertain nonlinear systems via LMI approach

This paper investigates the robust reliable H∞ control for a class of uncertain nonlinear system. At first, a criterion for nonlinear system without uncertainties is proposed to guarantee global exponential stabilization and disturbance attenuation. Next, the criterion for uncertain nonlinear systems with parameter uncertainties is obtained by simple derivation. Linear matrix inequality (LMI) optimization approach is used to design the robust reliable H∞ state feedback control. Two numerical examples are given to illustrate the effectiveness of the main results.