Finite-Time Control of Unified Chaotic Systems via I&I
Keywords:
Unified chaotic systems, finite-time control, I&I.Abstract
This paper deals with the finite-time chaos control
problem of unified chaotic systems. Based on the finite-time
stability theory and system immersion and manifold invariance
(I&I) which is a geometric order reducing control approach, a
nonlinear control law is proposed to stabilize the unified chaotic
system in a finite time. The control law is designed by
immerging the unified chaotic system into a one-dimensional
finite-time stable system. In the process of control design, this
approach does not require the knowledge of Lyapunov function.
And it is able to deal with finite-time control problem of
nonlinear system with high dimension. The general results
obtained in the paper are proved through theory analysis.
Simulation results are provided to verify the effectiveness of the
presented scheme.
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