Robust stabilization and adaptive H∞ control of nonlinear singular systems via static output feedback

Abstract

This article studies robust stabilization and adaptive [Formula: see text] control problems for a class of continuous-time nonlinear singular systems by static output feedback. First, under sufficient conditions which the system is impulse controllable, the static output feedback controller is designed, and the stabilization problem of the system is discussed. Second, the [Formula: see text] and adaptive [Formula: see text] controllers are designed for the continuous-time nonlinear singular systems with external disturbances. Compared with the existing conclusions, the controller can be designed for more nonlinear singular systems. Finally, an example of a nonlinear singular circuit is given, and the simulation results verify the validity of the proposed controllers.