Frontiers of Electrical and Electronic Engineering >

2012 , Vol. 7 >Issue 2: 270 - 278

DOI: https://doi.org/10.1007/s11460-012-0178-y

RESEARCH ARTICLE

Maximal terminal region approach for MPC using subsets sequence

  • Yafeng WANG 1,2 ,
  • Fuchun SUN , 1 ,
  • Huaping LIU 1 ,
  • Dongfang YANG 1
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  • 1. Tsinghua National Laboratory for Information Science and Technology, Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China
  • 2. The Aviation General Office in Guangzhou Bureau of Naval General Armaments Department, Anshun 561018, China

Received date: 28 Apr 2011

Accepted date: 12 Oct 2011

Published date: 05 Jun 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

For the sake of enlarging the domain of attraction of model predictive control (MPC), a novel approach of gradually approximating the maximal terminal state region is proposed in this paper. Given the terminal cost, both surrounding set sequence and subsets sequence of the maximal terminal region were constructed by employing one-step set expansion iteratively. It was theoretically proved that when the iteration time goes to infinity, both the surrounding set sequence and the subsets sequence will converge to the maximal terminal region. All surrounding and subsets sets in these sequences are extracted from the state space by exploiting support vector machine (SVM) classifier. Finally, simulations are implemented to validate the effectiveness of this approach.

Key words： model predictive control (MPC); terminal region; domain of attraction; support vector machine (SVM)

Cite this article

Yafeng WANG , Fuchun SUN , Huaping LIU , Dongfang YANG . Maximal terminal region approach for MPC using subsets sequence[J]. Frontiers of Electrical and Electronic Engineering, 2012 , 7(2) : 270 -278 . DOI: 10.1007/s11460-012-0178-y

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