Journal
ISA TRANSACTIONS
Volume 53, Issue 4, Pages 1191-1198Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2014.03.013
Keywords
Optimal control; Control Lyapunov function; Integral sliding mode; Terminal sliding mode; Chattering mitigation
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In this paper, a chattering free optimal second order sliding mode control (OSOSMC) method is proposed to stabilize nonlinear systems affected by uncertainties. The nonlinear optimal control strategy is based on the control Lyapunov function (CLF). For ensuring robustness of the optimal controller in the presence of parametric uncertainty and external disturbances, a sliding mode control scheme is realized by combining an integral and a terminal sliding surface. The resulting second order sliding mode can effectively reduce chattering in the control input. Simulation results confirm the supremacy of the proposed optimal second order sliding mode control over some existing sliding mode controllers in controlling nonlinear systems affected by uncertainty. (C) 2014 ISA. Published by Elsevier Ltd. All rights reserved.
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