Lead-Time Stability Control for Nonlinear Continuous and Disturbed System

In this work, the lead-time stability control for nonlinear continuous system is investigated. The convergence time of the system under the proposed algorithm can be given as needed within any physically allowable range. Namely, the system achieves stability before the preassigned time, which does not depend on initial conditions or other controller parameters. Furthermore, the convergence error of the lead-time control for the system with disturbances can be reduced to an adjustable range. Compared with the prescribed-time control, the proposed algorithm has better disturbance rejection and can avoid the sudden change at the certain time for the prescribed-time system. Finally, two numerical examples illustrate the effectiveness of the proposed algorithm.