Abstract (EN):
This paper addresses the finite-time stability control design problem for a general class of nonlinear systems, including the particular case of chaotic systems. Combining the results of finite-time stability using control Lyapunov functions with inverse optimality tools, we propose an explicit controller that is optimal with respect to a suitable cost functional and solves the finite-time stability problem. The proposed procedure is applied to obtain the finite-time synchronizing control signals for the Lorenz chaotic system dynamics in master-slave configuration. Numerical simulations illustrates the behavior of the derived controllers.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
11