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Title: Model predictive control of linear systems with nonlinear terminal control
Authors: Chen, Wen-Hua
Hu, Xiao-Bing
Keywords: Model predictive control (MPC)
Linear matrix inequalities (LMI’s)
Terminal region
Control constraints
Issue Date: 2004
Publisher: © John Wiley & Sons
Citation: CHEN, W-H. and HU, X-B., 2004. Model predictive control of linear systems with nonlinear terminal control. International Journal of Robust and Nonlinear Control, (Special Issue on Linear Model Predictive Control), 14, (4), pp.327-339. [DOI: 10.1002/rnc.885]
Abstract: In terminal weighting based model predictive control (MPC) algorithms, the terminal weighting term is used to cover the performance cost under the terminal control for guaranteeing stability. Therefore, the terminal control is crucial in choosing the terminal weighting term and also determining/estimating the stability region. However, most of the existing MPC algorithms are developed based on linear terminal control which restricts the achievable performance and stability of MPC. For linear systems, an MPC algorithm with nonlinear terminal control is presented in this paper, where the gain of the terminal control varies with the terminal state. An offline algorithm is proposed to determine the nonlinear gains and to choose the associated terminal weighting term. It is shown that, compared with the MPC algorithms with fixed linear terminal gain, a nonlinear terminal control results in a much larger stability region, which is confirmed by a numerical example.
Description: This article is Restricted Access. It was published in the journal International Journal of Robust and Nonlinear Control [© John Wiley & Sons] and is also available at: http://www3.interscience.wiley.com/journal/5510/home
URI: https://dspace.lboro.ac.uk/2134/3781
ISSN: 1049-8923
Appears in Collections:Closed Access (Aeronautical and Automotive Engineering)

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