Nonlinear Fault Estimation Observer Design Based on Spectral Approach to H∞ Optimization
The presented paper is devoted to the problem of the fault estimation observers design in case of plants with the Lipschitz system nonlinearity. Insensitivity of the observer to external disturbances, including ones with the given spectral properties, is to be guaranteed by the choice of its paramet...
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| Format: | Article |
| Language: | Russian |
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The Fund for Promotion of Internet media, IT education, human development «League Internet Media»
2021-06-01
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| Series: | Современные информационные технологии и IT-образование |
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| Online Access: | http://sitito.cs.msu.ru/index.php/SITITO/article/view/758 |
| _version_ | 1818355044869734400 |
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| author | Yaroslav Knyazkin |
| author_facet | Yaroslav Knyazkin |
| author_sort | Yaroslav Knyazkin |
| collection | DOAJ |
| description | The presented paper is devoted to the problem of the fault estimation observers design in case of plants with the Lipschitz system nonlinearity. Insensitivity of the observer to external disturbances, including ones with the given spectral properties, is to be guaranteed by the choice of its parameters. The proposed method is based on the special spectral approach in frequency domain, using parametrization of the set of transfer functions of the closed-loop system, Nevanlinna-Pick rational function interpolation and the condition of asymptotic stability of the zero equilibrium position of the estimation error dynamics. A novel approach to analytical synthesis of the adaptive nonlinear fault estimation observer is proposed, and its effectiveness is demonstrated on the practical example – the marine ship horizontal motion with the constant longitudinal speed under the sea waves action. The MATLAB package is used for numerical simulation of the ship dynamics. |
| first_indexed | 2024-12-13T19:35:04Z |
| format | Article |
| id | doaj.art-2ae4be3dce034c70baa13c477f93662b |
| institution | Directory Open Access Journal |
| issn | 2411-1473 |
| language | Russian |
| last_indexed | 2024-12-13T19:35:04Z |
| publishDate | 2021-06-01 |
| publisher | The Fund for Promotion of Internet media, IT education, human development «League Internet Media» |
| record_format | Article |
| series | Современные информационные технологии и IT-образование |
| spelling | doaj.art-2ae4be3dce034c70baa13c477f93662b2022-12-21T23:33:49ZrusThe Fund for Promotion of Internet media, IT education, human development «League Internet Media»Современные информационные технологии и IT-образование2411-14732021-06-0117228529410.25559/SITITO.17.202102.285-294Nonlinear Fault Estimation Observer Design Based on Spectral Approach to H∞ OptimizationYaroslav Knyazkin0https://orcid.org/0000-0001-8522-588XFaculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, Saint-Petersburg, RussiaThe presented paper is devoted to the problem of the fault estimation observers design in case of plants with the Lipschitz system nonlinearity. Insensitivity of the observer to external disturbances, including ones with the given spectral properties, is to be guaranteed by the choice of its parameters. The proposed method is based on the special spectral approach in frequency domain, using parametrization of the set of transfer functions of the closed-loop system, Nevanlinna-Pick rational function interpolation and the condition of asymptotic stability of the zero equilibrium position of the estimation error dynamics. A novel approach to analytical synthesis of the adaptive nonlinear fault estimation observer is proposed, and its effectiveness is demonstrated on the practical example – the marine ship horizontal motion with the constant longitudinal speed under the sea waves action. The MATLAB package is used for numerical simulation of the ship dynamics.http://sitito.cs.msu.ru/index.php/SITITO/article/view/758nonlinear observerlinear-quadratic functionalh∞-optimizationfault estimationoptimal controlspectral approachstability |
| spellingShingle | Yaroslav Knyazkin Nonlinear Fault Estimation Observer Design Based on Spectral Approach to H∞ Optimization Современные информационные технологии и IT-образование nonlinear observer linear-quadratic functional h∞-optimization fault estimation optimal control spectral approach stability |
| title | Nonlinear Fault Estimation Observer Design Based on Spectral Approach to H∞ Optimization |
| title_full | Nonlinear Fault Estimation Observer Design Based on Spectral Approach to H∞ Optimization |
| title_fullStr | Nonlinear Fault Estimation Observer Design Based on Spectral Approach to H∞ Optimization |
| title_full_unstemmed | Nonlinear Fault Estimation Observer Design Based on Spectral Approach to H∞ Optimization |
| title_short | Nonlinear Fault Estimation Observer Design Based on Spectral Approach to H∞ Optimization |
| title_sort | nonlinear fault estimation observer design based on spectral approach to h∞ optimization |
| topic | nonlinear observer linear-quadratic functional h∞-optimization fault estimation optimal control spectral approach stability |
| url | http://sitito.cs.msu.ru/index.php/SITITO/article/view/758 |
| work_keys_str_mv | AT yaroslavknyazkin nonlinearfaultestimationobserverdesignbasedonspectralapproachtohoptimization |