Guaranteed finite-time H∞ stability for uncertain nonlinear singular systems: A dynamic output feedback approach

This paper explores the finite-time dynamic output feedback (DOF) $H_{\infty }$ control issue for nonlinear singular systems exposed to external perturbations and uncertainty. The primary objective is to utilize the designed technique of a DOF controller to achieve the state’s finite-time $H_{\infty }$ stabilization for the nonlinear uncertain singular system in a prescribed interval. Firstly, by utilizing the augmented matrix method and Lyapunov function analysis, the developed results can achieve singular finite-time $H_{\infty }$ stability for the closed-loop system along with the proposed DOF $H_{\infty }$ control strategy. Then, through utilizing the matrix inequality decoupling principle, the determination of the DOF control parameters is derived to adjust the states of the system. Finally, the applicability and reliability of the obtained controller are adequately substantiated by some examples.