The paper presents a new method for higher order sliding mode control using control Lyapunov function for chain of integrator system with nonlinear uncertainties. The stability proof of the suggested scheme is analyzed in terms of two Lyapunov functions using appropriate switching function. Using these Lyapunov functions and switching scheme it is proved that, output and its higher order derivatives converge to origin in finite time. Simulation results illustrate the efficacy of the method. © 2014, World Scientific and Engineering Academy and Society. All rights reserved.

Bijnan Bandyopadhyay

Department of Electrical Engineering

IIT Jodhpur

S. Kamal

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Journal	WSEAS Transactions on Systems and Control
Publisher	World Scientific and Engineering Academy and Society
ISSN	19918763