Predefined-time adaptive robust control of a class of nonlinear singular systems

In this paper, the predefined-time adaptive robust control problem of a class of nonlinear singular systems is studied. Based on the structural properties of the nonlinear singular systems, we first develop a singular system in dissipative form via an appropriate state feedback, then transform it into an equivalent nonlinear differential-algebraic form, finally we obtain a strictly dissipative differential-algebraic system and apply it to obtain the stability results. Based on this, a predefined-time adaptive robust controller is designed with external disturbances and uncertainty. Finally, the results are applied to the nonlinear singular circuit system, and the effectiveness is verified through simulations conducted on the nonlinear circuit system.