This paper studies the guaranteed state estimation in terms of zonotope, and does some improvements for nonlinear discrete time system with a bounded description of noise and parameters. Firstly we extend the Taylor series with respect to two variables so that the mean value extension which is used to compute an interval enclosure can be improved and extended. Secondly based on the improved mean value extension, a generalization of classical method is proposed as it considers uncertainty in the model of system. Thirdly we give one iterative process in one algorithm to obtain a bound of the exact uncertain state set. Finally the simulation example results confirm the identification theoretical results.
| Published in | Science Journal of Circuits, Systems and Signal Processing (Volume 6, Issue 5) |
| DOI | 10.11648/j.cssp.20170605.11 |
| Page(s) | 44-49 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Nonlinear System, Set Membership Parameter Estimation, Zonotope
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APA Style
Wang Jian-hong, Liu Fei-fei, Tang Yan-yuan. (2018). One Improvement on Zonotope Guaranteed Parameter Estimation. Science Journal of Circuits, Systems and Signal Processing, 6(5), 44-49. https://doi.org/10.11648/j.cssp.20170605.11
ACS Style
Wang Jian-hong; Liu Fei-fei; Tang Yan-yuan. One Improvement on Zonotope Guaranteed Parameter Estimation. Sci. J. Circuits Syst. Signal Process. 2018, 6(5), 44-49. doi: 10.11648/j.cssp.20170605.11
AMA Style
Wang Jian-hong, Liu Fei-fei, Tang Yan-yuan. One Improvement on Zonotope Guaranteed Parameter Estimation. Sci J Circuits Syst Signal Process. 2018;6(5):44-49. doi: 10.11648/j.cssp.20170605.11
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Download@article{10.11648/j.cssp.20170605.11,
author = {Wang Jian-hong and Liu Fei-fei and Tang Yan-yuan},
title = {One Improvement on Zonotope Guaranteed Parameter Estimation},
journal = {Science Journal of Circuits, Systems and Signal Processing},
volume = {6},
number = {5},
pages = {44-49},
doi = {10.11648/j.cssp.20170605.11},
url = {https://doi.org/10.11648/j.cssp.20170605.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.cssp.20170605.11},
abstract = {This paper studies the guaranteed state estimation in terms of zonotope, and does some improvements for nonlinear discrete time system with a bounded description of noise and parameters. Firstly we extend the Taylor series with respect to two variables so that the mean value extension which is used to compute an interval enclosure can be improved and extended. Secondly based on the improved mean value extension, a generalization of classical method is proposed as it considers uncertainty in the model of system. Thirdly we give one iterative process in one algorithm to obtain a bound of the exact uncertain state set. Finally the simulation example results confirm the identification theoretical results.},
year = {2018}
}
TY - JOUR T1 - One Improvement on Zonotope Guaranteed Parameter Estimation AU - Wang Jian-hong AU - Liu Fei-fei AU - Tang Yan-yuan Y1 - 2018/01/16 PY - 2018 N1 - https://doi.org/10.11648/j.cssp.20170605.11 DO - 10.11648/j.cssp.20170605.11 T2 - Science Journal of Circuits, Systems and Signal Processing JF - Science Journal of Circuits, Systems and Signal Processing JO - Science Journal of Circuits, Systems and Signal Processing SP - 44 EP - 49 PB - Science Publishing Group SN - 2326-9073 UR - https://doi.org/10.11648/j.cssp.20170605.11 AB - This paper studies the guaranteed state estimation in terms of zonotope, and does some improvements for nonlinear discrete time system with a bounded description of noise and parameters. Firstly we extend the Taylor series with respect to two variables so that the mean value extension which is used to compute an interval enclosure can be improved and extended. Secondly based on the improved mean value extension, a generalization of classical method is proposed as it considers uncertainty in the model of system. Thirdly we give one iterative process in one algorithm to obtain a bound of the exact uncertain state set. Finally the simulation example results confirm the identification theoretical results. VL - 6 IS - 5 ER -
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