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Model predictive control of nonlinear systems: Stability region and feasible initial control

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Abstract

This paper proposes a new method for model predictive control (MPC) of nonlinear systems to calculate stability region and feasible initial control profile/sequence, which are important to the implementations of MPC. Different from many existing methods, this paper distinguishes stability region from conservative terminal region. With global linearization, linear differential inclusion (LDI) and linear matrix inequality (LMI) techniques, a nonlinear system is transformed into a convex set of linear systems, and then the vertices of the set are used off-line to design the controller, to estimate stability region, and also to determine a feasible initial control profile/sequence. The advantages of the proposed method are demonstrated by simulation study.

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Author information

Authors and Affiliations

  1. Department of Informatics, University of Sussex, Falmer, Brighton, BN1 9QH, UK

    Xiao-Bing Hu

  2. Department of Aeronautical and Automotive Engineering, Loughborough University, LE11 3TU, UK

    Wen-Hua Chen

Authors
  1. Xiao-Bing Hu
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  2. Wen-Hua Chen
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Corresponding author

Correspondence to Xiao-Bing Hu.

Additional information

This work was supported by an Overseas Research Students Award to Xiao-Bing Hu.

Xiao-Bing Hu received his B.Sc. degree in aviation electronic engineering at Civil Aviation Institute of China, Tianjin, China, in 1998, the M.Sc. degree in automatic control engineering at Nanjing University of Aeronautics & Astronautics, Nanjing, China, in 2001, and the Ph.D. degree in aeronautical and automotive engineering at Loughborough University, UK, in 2005. He is currently a research fellow in Department of Informatics at Sussex University, UK.

His research interests include predictive control, artificial intelligence, air traffic management, and flight control.

Wen-Hua Chen received his M. Sc and Ph. D. degrees from Department of Automatic Control at Northeast University, China, in 1989 and 1991, respectively. From 1991 to 1996, he was a lecturer in Department of Automatic Control at Nanjing University of Aeronautics & Astronautics, China. He held a research position and then a lectureship in control engineering in Center for Systems and Control at University of Glasgow, UK, from 1997 to 2000. He holds a senior lectureship in flight control systems in Department of Aeronautical and Automotive Engineering at Loughborough University, UK.

He has published one book and more than 80 papers on journals and conferences. His research interests include the development of advanced control strategies and their applications in aerospace engineering.

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Hu, XB., Chen, WH. Model predictive control of nonlinear systems: Stability region and feasible initial control. Int J Automat Comput 4, 195–202 (2007). https://doi.org/10.1007/s11633-007-0195-0

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  • DOI: https://doi.org/10.1007/s11633-007-0195-0

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