Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0005-1098(01)00049-8
Title: Learning variable structure control approaches for repeatable tracking control tasks
Authors: Xu, J.-X. 
Cao, W.-J.
Keywords: Chattering
Continunity
Equivalent control
Function approximation
Learning control
Lyapunov methods
Sliding mode
Variable structure control
Issue Date: Jul-2001
Source: Xu, J.-X., Cao, W.-J. (2001-07). Learning variable structure control approaches for repeatable tracking control tasks. Automatica 37 (7) : 997-1006. ScholarBank@NUS Repository. https://doi.org/10.1016/S0005-1098(01)00049-8
Abstract: In this paper, we consider repeatable tracking control tasks using a new control approach - learning variable structure control (LVSC). LVSC synthesizes two main control strategies: variable structure control (VSC) as the robust part and learning control as the intelligent part. The incorporation of the powerful learning function, by virtue of the internal model principle, completely nullifies the tracking error. The switching control mechanism on the other hand, retains the well appreciated properties of VSC, especially theinsensitivity to unstructured system uncertainties. Through a rigorous proof based on energy function and functional analysis, we show that the LVSC system achieves the following novel properties: (1) the tracking error sequence converges uniformly to zero; (2) the bounded learning control sequence converges to the equivalent control, i.e. the desired control profile almost everywhere; (3) the system state sequence and VSC control sequence are uniformly continuous. To address important practical considerations, the learning mechanism is implemented by means of Fourier series expansions, hence achieves better tracking performance. © 2001 Elsevier Science Ltd.
Source Title: Automatica
URI: http://scholarbank.nus.edu.sg/handle/10635/56480
ISSN: 00051098
DOI: 10.1016/S0005-1098(01)00049-8
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