Finite‐Time Control of Time‐Varying Delay Nonlinear Systems With Multiple Disturbances

ABSTRACT The finite‐time control problem is studied for a type of nonlinear systems with time‐varying delay and multiple disturbances. The disturbances include external disturbances with partly known information and stochastic noises. A stochastic disturbance observer (SDO) is constructed to estimate external disturbances, and stochastic noises are handled by the control method. Then a finite‐time anti‐disturbance controller is designed by combing the disturbance observer–based control (DOBC), control, and finite‐time stability theory, which ensures the closed‐loop stochastic system is finite‐time bounded. Eventually, the validity of the control scheme is verified by a simulation example.