New Approach to Fast and Hyperstable State Observers for Stochastic and Complex Systems
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
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New Approach to Fast and Hyperstable State Observers for Stochastic and Complex Systems
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| Автор |
Kitmo
Pierre, N. B. Bajaj, M. Aboras, K. M. Hossain, I. |
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| Тематика |
ASYMPTOTIC STABILITY
CLOSED LOOP SYSTEMS CONTINUOUS TIME SYSTEMS ERRORS LINEAR SYSTEMS STATE ESTIMATION SYSTEM STABILITY BOUNDED PARAMETERS CONSERVATIVE APPROACHES CONTINUOUS-TIME LINEAR SYSTEMS ESTIMATION ERRORS FAST STATE NEW APPROACHES STATES OBSERVER TIME VARYING TIME-INVARIANT PLANT USUAL ASSUMPTIONS STOCHASTIC SYSTEMS |
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| Описание |
This paper is concerned with the fast state observer for a class of continuous-time linear systems with unknown bounded parameters and sufficiently slowly time varying which satisfy the usual assumptions of conventional state observer for time-invariant plants. A less conservative approach based on hyperstability analysis is proposed to deal with the tracking error involved in Popov's inequality. Sufficient conditions that ensure the asymptotic stability of the closed-loop system are established and formulated in term of a nonlinear part which is designed with appropriate proportional and derivative gains. This observer included the derivative of the estimation error. The results obtained are satisfactory and less conservative than the Lyapunov stability analysis for the estimation error dynamic system. Also, it is showed that with a good choice of Proportional-Derivative (PD) gains, it is possible to reduce in this case to zero, the estimation error on the one hand, and on the other hand to reduce it to small residues in an asymptotic way. Finally, a numerical example of a lateral motion of CESSNA 182 aircraft system is presented to reconstruct the sideslip angle and the roll angle, respectively, and to highlight the efficiency of the approach that has been developed. © 2022 Kitmo et al.
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| Дата |
2024-04-08T11:05:57Z
2024-04-08T11:05:57Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Kitmo, Pierre, NB, Bajaj, M, Aboras, KM & Hossain, I 2022, 'New Approach to Fast and Hyperstable State Observers for Stochastic and Complex Systems', International Journal of Photoenergy, Том. 2022, 2433066. https://doi.org/10.1155/2022/2433066
Kitmo, Pierre, N. B., Bajaj, M., Aboras, K. M., & Hossain, I. (2022). New Approach to Fast and Hyperstable State Observers for Stochastic and Complex Systems. International Journal of Photoenergy, 2022, [2433066]. https://doi.org/10.1155/2022/2433066 1110-662X Final All Open Access; Gold Open Access https://downloads.hindawi.com/journals/ijp/2022/2433066.pdf https://downloads.hindawi.com/journals/ijp/2022/2433066.pdf http://elar.urfu.ru/handle/10995/131239 10.1155/2022/2433066 85143078036 000891065700001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Hindawi Limited
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| Источник |
International Journal of Photoenergy
International Journal of Photoenergy |
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