Abstract
In this paper, a finite-time control synthesis method is presented for a class of nonlinear systems. The proposed method is based on a differential geometric approach, in which a virtual system that is asymptotically stable in finite time with a strict-feedback form is constructed and is diffeomorphic to the system under consideration (i.e., the real system). The control law is derived via a transformation from the real system to the virtual system. This control law ensures that the original system has the same dynamic characteristics as the virtual system and is stable in finite time. The stability in finite-time control of the virtual system is analyzed based on the Lyapunov function. Theoretical analyses and numerical simulations are conducted on three systems and compared with existing methods to demonstrate the effectiveness of the proposed control law.
DOI: 10.61416/ceai.v28i2.9983