Extended Ellipsoidal Outer-Bounding Set-Membership Estimation for Nonlinear Discrete-Time Systems with Unknown-but-Bounded Disturbances
This paper develops an extended ellipsoidal outer-bounding set-membership estimation (EEOB-SME) algorithm with high accuracy and efficiency for nonlinear discrete-time systems under unknown-but-bounded (UBB) disturbances. The EEOB-SME linearizes the first-order terms about the current state estimati...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/3918797 |
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| _version_ | 1832556608508395520 |
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| author | Yushuang Liu Yan Zhao Falin Wu |
| author_facet | Yushuang Liu Yan Zhao Falin Wu |
| author_sort | Yushuang Liu |
| collection | DOAJ |
| description | This paper develops an extended ellipsoidal outer-bounding set-membership estimation (EEOB-SME) algorithm with high accuracy and efficiency for nonlinear discrete-time systems under unknown-but-bounded (UBB) disturbances. The EEOB-SME linearizes the first-order terms about the current state estimations and bounds the linearization errors by ellipsoids using interval analysis for nonlinear equations of process and measurement equations, respectively. It has been demonstrated that the EEOB-SME algorithm is stable and the estimation errors of the EEOB-SME are bounded when the nonlinear system is observable. The EEOB-SME decreases the computation load and the feasible sets of EEOB-SME contain more true states. The efficiency of the EEOB-SME algorithm has been shown by a numerical simulation under UBB disturbances. |
| format | Article |
| id | doaj-art-5743710fd7484a189d3a4d80fc69430f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5743710fd7484a189d3a4d80fc69430f2025-02-03T05:44:53ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/39187973918797Extended Ellipsoidal Outer-Bounding Set-Membership Estimation for Nonlinear Discrete-Time Systems with Unknown-but-Bounded DisturbancesYushuang Liu0Yan Zhao1Falin Wu2School of Instrumentation Science and Opto-Electronics Engineering, Beihang University (BUAA), Beijing 100191, ChinaSchool of Instrumentation Science and Opto-Electronics Engineering, Beihang University (BUAA), Beijing 100191, ChinaSchool of Instrumentation Science and Opto-Electronics Engineering, Beihang University (BUAA), Beijing 100191, ChinaThis paper develops an extended ellipsoidal outer-bounding set-membership estimation (EEOB-SME) algorithm with high accuracy and efficiency for nonlinear discrete-time systems under unknown-but-bounded (UBB) disturbances. The EEOB-SME linearizes the first-order terms about the current state estimations and bounds the linearization errors by ellipsoids using interval analysis for nonlinear equations of process and measurement equations, respectively. It has been demonstrated that the EEOB-SME algorithm is stable and the estimation errors of the EEOB-SME are bounded when the nonlinear system is observable. The EEOB-SME decreases the computation load and the feasible sets of EEOB-SME contain more true states. The efficiency of the EEOB-SME algorithm has been shown by a numerical simulation under UBB disturbances.http://dx.doi.org/10.1155/2016/3918797 |
| spellingShingle | Yushuang Liu Yan Zhao Falin Wu Extended Ellipsoidal Outer-Bounding Set-Membership Estimation for Nonlinear Discrete-Time Systems with Unknown-but-Bounded Disturbances Discrete Dynamics in Nature and Society |
| title | Extended Ellipsoidal Outer-Bounding Set-Membership Estimation for Nonlinear Discrete-Time Systems with Unknown-but-Bounded Disturbances |
| title_full | Extended Ellipsoidal Outer-Bounding Set-Membership Estimation for Nonlinear Discrete-Time Systems with Unknown-but-Bounded Disturbances |
| title_fullStr | Extended Ellipsoidal Outer-Bounding Set-Membership Estimation for Nonlinear Discrete-Time Systems with Unknown-but-Bounded Disturbances |
| title_full_unstemmed | Extended Ellipsoidal Outer-Bounding Set-Membership Estimation for Nonlinear Discrete-Time Systems with Unknown-but-Bounded Disturbances |
| title_short | Extended Ellipsoidal Outer-Bounding Set-Membership Estimation for Nonlinear Discrete-Time Systems with Unknown-but-Bounded Disturbances |
| title_sort | extended ellipsoidal outer bounding set membership estimation for nonlinear discrete time systems with unknown but bounded disturbances |
| url | http://dx.doi.org/10.1155/2016/3918797 |
| work_keys_str_mv | AT yushuangliu extendedellipsoidalouterboundingsetmembershipestimationfornonlineardiscretetimesystemswithunknownbutboundeddisturbances AT yanzhao extendedellipsoidalouterboundingsetmembershipestimationfornonlineardiscretetimesystemswithunknownbutboundeddisturbances AT falinwu extendedellipsoidalouterboundingsetmembershipestimationfornonlineardiscretetimesystemswithunknownbutboundeddisturbances |