Global Finite-Time Stabilization Problem of Affine Nonlinear Systems
with Unknown Functions
In this paper, the global finite-time stabilization (FTS) of nonlinear
systems with unknown functions (UFs) is studied. Firstly, in order to
deal with UFs, a Lemma is proposed to avoid the Assumptions of UFs.
Secondly, based on this Lemma, the control algorithm designed by using
backstepping has no partial derivative of virtual controllers, so it
avoids the “differential explosion” problem of backstepping. Thirdly,
by using Lyapunov analysis method, backstepping and FTS method, a global
FTS control algorithm of nonlinear systems with UFs is proposed.
Finally, the feasibility of developed control approach is illustrated by
the simulation results of a manipulator.