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Mathematical Problems in Engineering
Volume 2017, Article ID 7343575, 10 pages
https://doi.org/10.1155/2017/7343575
Research Article

Multicriteria Adaptive Observers for Singular Systems with Unknown Time-Varying Parameters

1Graduate Institute of Ferrous Technology, Pohang University of Science and Technology, 77 Cheongam-Ro, Nam-Gu, Pohang, Gyeongbuk, Republic of Korea
2Department of Electrical Engineering, Pohang University of Science and Technology, 77 Cheongam-Ro, Nam-Gu, Pohang, Gyeongbuk, Republic of Korea
3Department of Creative IT Engineering, Pohang University of Science and Technology, 77 Cheongam-Ro, Nam-Gu, Pohang, Gyeongbuk, Republic of Korea

Correspondence should be addressed to Sangchul Won; rk.ca.hcetsop@now

Received 28 October 2016; Revised 13 January 2017; Accepted 22 January 2017; Published 12 February 2017

Academic Editor: R. Aguilar-López

Copyright © 2017 Wookyong Kwon et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper proposes multicriteria adaptive observers for a class of singular systems with unknown time-varying parameters. Two criteria for the disturbance attenuation level and the upper bound of an ultimate invariant set are scalarized into a single cost function and then it is minimized by varying the weight parameter, which creates the optimal trade-off curve or Pareto optimal points. The proposed multicriteria adaptive observers are shown to be able to easily include integral action for better robust performance. It is demonstrated with numerical simulations that the proposed multicriteria adaptive observers provide the good estimation accuracy and allow effective and compromising design by considering two different cost functions simultaneously.