Robust finite-time H∞ control for a class of uncertain switched neutral systems

This paper investigates the robust finite-time H∞ control problem for a class of uncertain switched neutral systems with unknown time-varying disturbance. The uncertainties under consideration are norm bounded. By using the average dwell time approach, a sufficient condition for finite-time boundedness of switched neutral systems is derived. Then, finite-time H∞ performance analysis for switched neutral systems is developed, and a robust finite-time H∞ state feedback controller is proposed to guarantee that the closed-loop system is finite-time bounded with H∞ disturbance attenuation level γ. All the results are given in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to show the effectiveness of the proposed method.

► The definitions of finite-time boundedness and H∞ performance is proposed for switched neutral systems.
► Sufficient condition of finite-time boundedness is derived.
► Finite-time H∞ performance analysis is developed.
► Sufficient conditions for the existence of the robust finite-time H∞ controller are proposed in terms of a set of matrix inequalities.