Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jfranklin.2011.08.011
Title: A quasi-optimal sliding mode control scheme based on control Lyapunov function
Authors: Xu, J.-X. 
Issue Date: May-2012
Source: Xu, J.-X. (2012-05). A quasi-optimal sliding mode control scheme based on control Lyapunov function. Journal of the Franklin Institute 349 (4) : 1445-1458. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jfranklin.2011.08.011
Abstract: In this paper, the sliding mode control (SMC) method is integrated with a nonlinear suboptimal control method based on control Lyapunov function (CLF). According to the system nominal part, a CLF is first constructed in general to facilitate the nonlinear optimal system design and Sontag's formula is used in particular to generate a suboptimal controller. To take system uncertainties into account, the SMC mechanism is designed based on the CLF. By integration, the suboptimal control and SMC are made to function in a complementary manner. When the system state is far away from the equilibrium and the system nominal part is predominant, the nonlinear optimal control part will govern the system response as well as drive the system state approach the equilibrium in an optimal fashion. On the contrary, when approaching the equilibrium such that system perturbations become the main factor, the SMC will take over the control task to warrant the desired robustness property and achieve precise control. © 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
Source Title: Journal of the Franklin Institute
URI: http://scholarbank.nus.edu.sg/handle/10635/54759
ISSN: 00160032
DOI: 10.1016/j.jfranklin.2011.08.011
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