A Modified Model Predictive Control Scheme

Xiao-Bing Hu; Wen-Hua Chen

doi:10.1007/s11633-005-0101-6

July 2005

Article Contents

Xiao-Bing Hu and Wen-Hua Chen. A Modified Model Predictive Control Scheme. International Journal of Automation and Computing, vol. 2, no. 1, pp. 101-106, 2005. doi: 10.1007/s11633-005-0101-6

Cite as: Xiao-Bing Hu and Wen-Hua Chen. A Modified Model Predictive Control Scheme. International Journal of Automation and Computing, vol. 2, no. 1, pp. 101-106, 2005. doi: 10.1007/s11633-005-0101-6

A Modified Model Predictive Control Scheme

1.
Department of Aeronautical and Automotive Engineering, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK

Received: 2004-10-01

Abstract

In implementations of MPC (Model Predictive Control) schemes, two issues need to be addressed. One is how to enlarge the stability region as much as possible. The other is how to guarantee stability when a computational time limitation exists. In this paper, a modified MPC scheme for constrained linear systems is described. An offine LMI-based iteration process is introduced to expand the stability region. At the same time, a database of feasible control sequences is generated offine so that stability can still be guaranteed in the case of computational time limitations. Simulation results illustrate the effectiveness of this new approach.
- Model predictive control,
- linear matrix inequality,
- stability region,
- terminal region,
- feasibility

References

[1]	D. Q. Mayne, J. B. Rawlings, C. V. Rao, P. O. M. Scokaert,Survey Paper-Constrained model predictive control: Stability and optimality, Automatica, vol. 36, no. 6, pp. 789-814,2000.
[2]	R. R. Bitmead, M. Gevers, V. Wertz, Adaptive Optimal Control: The Thinking Man's GPC, Prentice-Hall, New York,1990.
[3]	H. Demircioglu, D. W. Clarke, CGPC with guaranteed stability properties, Proc. IEE., vol. 139, no. 4, pp. 371-380,1992.
[4]	Y. I. Lee.[J].B. Kouvaritakis, Stabilizable regions of receding horizon predictive control with input constraints, System &Control Letters, vol. 38, no. 1, pp. 13-2.1999,:-
[5]	W. H. Chen, Maximisation of stability/feasibility region of model predictive control for constrained linear systems, IEE Proc.-Control Theory Appl., vol. 149, no. 3, pp. 243-246,2002.

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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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A Modified Model Predictive Control Scheme

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

Received: 2004-10-01

Key words:

Abstract: In implementations of MPC (Model Predictive Control) schemes, two issues need to be addressed. One is how to enlarge the stability region as much as possible. The other is how to guarantee stability when a computational time limitation exists. In this paper, a modified MPC scheme for constrained linear systems is described. An offine LMI-based iteration process is introduced to expand the stability region. At the same time, a database of feasible control sequences is generated offine so that stability can still be guaranteed in the case of computational time limitations. Simulation results illustrate the effectiveness of this new approach.

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A Modified Model Predictive Control Scheme

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