Robust H_∞ control for a class of uncertain nonlinear switched systems with average dwell time

Abstract

This paper focuses on the robust H_∞ control problem for a class of nonlinear switched systems containing neutral uncertainties with average dwell time (ADT) switching. Uncertainties are considered to be nonlinearly dependent on state and state derivative and allowed to appear in channels of state, control input and disturbance input. The robust H_∞ control problem of the switched system with stabilisable and unstabilisable subsystems is solvable if the stabilisable and unstabilisable subsystems satisfy certain conditions and admissible switching strategy among them. ADT and piecewise Lyapunov function approaches are applied to achieve the control design. A numerical example is provided to illustrate the effectiveness of the proposed approach.

Keywords:

• nonlinear switched systems
• neutral uncertainties
• robust H_∞ control
• average dwell time

Acknowledgements

This work was supported by the Chinese National Fundamental Research Program under Grant 2009CB320601 and National Natural Science Foundation of China under Grants 61233002 and 61174073.