Simultaneous Lp-stabilization and internal stabilization for linear singular systems subject to input saturation

The simultaneous L_p-stabilization and internal stabilization for continuous-time linear singular systems subject to input saturation are considered. A scheduled low-and high-gain state feedback control law is proposed, which relies on the asymptotical property of a class of parametric generalized algebraic Riccati equations. When applied to the singular system with input saturation and external disturbance, finite-gain L_p-stabilization and global internal stabilization are obtained simultaneously. The result reduces to the existing results for non-singular linear systems when the linear singular system reduces to a non-singular system. Furthermore, the result also extends the semi-global stabilization results for singular systems with saturation in the absence of the external disturbance.