Set membership state estimation with improved zonotopic description of feasible solution set

Chai, Wei, Sun, Xianfang ORCID: https://orcid.org/0000-0002-6114-0766 and Qiao, Junfei 2013. Set membership state estimation with improved zonotopic description of feasible solution set. International Journal of Robust and Nonlinear Control 23 (14) , pp. 1642-1654. 10.1002/rnc.2842

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Abstract

This paper proposes an improved zonotopic method to set membership state estimation for nonlinear discrete-time systems with a bounded description of noise and parameters. According to the previous method, a zonotope containing the uncertain trajectory of the system is computed using interval arithmetic in the time update. In the observation update, an improved intersection algorithm of zonotope and strip is used to obtain a zonotope bounding the intersection of the uncertain trajectory with the region of the state space consistent with the observed output. This obtained zonotope is used to describe the feasible solution set of state. It is proven that the zonotope obtained by the improved algorithm can be tighter than the one obtained by the previous algorithm. Simulation experiments are conducted showing the performance of the improved state estimation method as compared with the previous one. Two types of noise distribution are considered. The results expose the weakness of the previous method and illustrate the effectiveness of the improvement.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords:	nonlinear systems; uncertain systems; state estimation; set membership; zonotopes
Publisher:	Wiley
ISSN:	1049-8923
Last Modified:	25 Oct 2022 08:42
URI:	https://orca.cardiff.ac.uk/id/eprint/54018

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