Robust H∞ control for uncertain switched neutral systems with distributed delays

This paper investigates the robust H_∞ control problem for a class of switched neutral systems with distributed delays that involve uncertainties and unknown disturbances. The uncertainties under consideration are norm bounded, and disturbances are bounded in energy. A robust H_∞ state feedback controller is proposed to guarantee that the closed-loop system is exponentially stable with H_∞ disturbance attenuation level γ. The average dwell time approach is utilized for the H_∞ performance analysis and controller design, and the sufficient conditions are proposed in the form of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the result.