view:52372   Last Update: 2020-11-6

Mobayen, S.
Finite-time stabilization of a class of chaotic systems with matched and unmatched uncertainties: an LMI approach
پایدارسازی زمان محدود 
Abstract


This paper investigates the sliding mode control method for a class of chaotic systems with matched and unmatched uncertain parameters. The proposed reaching law is established to guarantee the existence of the sliding mode around the sliding surface in a finite-time. Based on the Lyapunov stability theory, the conditions on the state error bound are expressed in the form of linear matrix inequalities. Simulation results for the well-known Genesio's chaotic system are provided to illustrate the effectiveness of the proposed scheme.