Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0895-7177(97)00239-2
Title: A general approach to nonlinear multiple control problems with perturbation consideration
Authors: Liu, Y.
Teo, K.L.
Agarwal, R.P. 
Keywords: Local linear feedback
Multicriteria optimal control
Neighboring extremal
Open-loop control
Perturbation control
Issue Date: Dec-1997
Citation: Liu, Y., Teo, K.L., Agarwal, R.P. (1997-12). A general approach to nonlinear multiple control problems with perturbation consideration. Mathematical and Computer Modelling 26 (12) : 49-58. ScholarBank@NUS Repository. https://doi.org/10.1016/S0895-7177(97)00239-2
Abstract: In this paper, we consider a general nonlinear optimal control problem involving multiple criteria. We show that the problem dan be transformed into a standard optimal control problem, and hence, is solvable by conventional techniques. However, the optimal control so obtained is of open loop nature and is rather sensitive to perturbations. Based on the first-order approximation, neighboring extremal approach is used to obtain a local linear feedback correction control law, leading to a combined controller. Two numerical examples are solved using the proposed method to demonstrate the effectiveness of the combined control.
Source Title: Mathematical and Computer Modelling
URI: http://scholarbank.nus.edu.sg/handle/10635/102651
ISSN: 08957177
DOI: 10.1016/S0895-7177(97)00239-2
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