Output feedback stabilization for a Kirchhoff‐type nonlinear beam with general corrupted boundary observation
Summary This paper is concerned with the boundary output feedback stabilization for a Kirchhoff‐type nonlinear beam equation with boundary observation subject to a general disturbance. The active disturbance rejection control approach is adopted to design the controller and the disturbance estimator...
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| Published in | International journal of robust and nonlinear control Vol. 27; no. 16; pp. 3280 - 3295 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Chichester, UK
John Wiley & Sons, Ltd
10.11.2017
Wiley Subscription Services, Inc |
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| Online Access | Get full text |
| ISSN | 1049-8923 1099-1239 |
| DOI | 10.1002/rnc.3740 |
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| Abstract | Summary
This paper is concerned with the boundary output feedback stabilization for a Kirchhoff‐type nonlinear beam equation with boundary observation subject to a general disturbance. The active disturbance rejection control approach is adopted to design the controller and the disturbance estimator. By this approach, the disturbance is estimated by a relatively independent estimator and then canceled in the feedback loop. The existence and uniqueness of the classical solution to the closed‐loop system are proved. The asymptotical convergence of the closed‐loop system is obtained. Copyright © 2017 John Wiley & Sons, Ltd. |
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| AbstractList | Summary
This paper is concerned with the boundary output feedback stabilization for a Kirchhoff‐type nonlinear beam equation with boundary observation subject to a general disturbance. The active disturbance rejection control approach is adopted to design the controller and the disturbance estimator. By this approach, the disturbance is estimated by a relatively independent estimator and then canceled in the feedback loop. The existence and uniqueness of the classical solution to the closed‐loop system are proved. The asymptotical convergence of the closed‐loop system is obtained. Copyright © 2017 John Wiley & Sons, Ltd. This paper is concerned with the boundary output feedback stabilization for a Kirchhoff‐type nonlinear beam equation with boundary observation subject to a general disturbance. The active disturbance rejection control approach is adopted to design the controller and the disturbance estimator. By this approach, the disturbance is estimated by a relatively independent estimator and then canceled in the feedback loop. The existence and uniqueness of the classical solution to the closed‐loop system are proved. The asymptotical convergence of the closed‐loop system is obtained. Copyright © 2017 John Wiley & Sons, Ltd. Summary This paper is concerned with the boundary output feedback stabilization for a Kirchhoff-type nonlinear beam equation with boundary observation subject to a general disturbance. The active disturbance rejection control approach is adopted to design the controller and the disturbance estimator. By this approach, the disturbance is estimated by a relatively independent estimator and then canceled in the feedback loop. The existence and uniqueness of the classical solution to the closed-loop system are proved. The asymptotical convergence of the closed-loop system is obtained. Copyright © 2017 John Wiley & Sons, Ltd. |
| Author | Guo, Wei Feng, Hongyinping Chen, Yunlan |
| Author_xml | – sequence: 1 givenname: Wei surname: Guo fullname: Guo, Wei organization: University of International Business and Economics (UIBE) – sequence: 2 givenname: Yunlan surname: Chen fullname: Chen, Yunlan organization: Tianjin University – sequence: 3 givenname: Hongyinping surname: Feng fullname: Feng, Hongyinping email: fhyp@sxu.edu.cn organization: Shanxi University |
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| CitedBy_id | crossref_primary_10_3934_dcdsb_2021230 crossref_primary_10_1016_j_arcontrol_2017_05_003 crossref_primary_10_1080_23307706_2020_1787252 crossref_primary_10_1080_00036811_2022_2037572 crossref_primary_10_1016_j_automatica_2023_110978 |
| Cites_doi | 10.1109/TAC.2012.2218669 10.1016/j.automatica.2013.06.018 10.1016/j.na.2013.05.005 10.1016/j.automatica.2015.12.008 10.1007/978-1-4612-4224-6 10.1115/1.4010053 10.1002/rnc.2977 10.1016/j.na.2005.11.037 10.1016/j.sysconle.2011.03.008 10.1007/978-3-7643-8994-9 10.1002/mma.230 10.1109/TAC.2014.2335511 10.3182/20140824-6-ZA-1003.02066 10.1093/imamci/dnm019 10.1137/120873212 10.1002/rnc.1650 10.1016/0022-247X(73)90121-2 10.1016/j.automatica.2014.10.016 |
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| References | 1950; 17 2013; 58 1973; 42 1979; 58 2013; 49 2015; 60 2013; 89 2013; 51 2011; 60 2009 1987 2008; 25 1995 2011; 21 2014; 24 2014 2014; 50 2001; 24 2007; 66 2016; 66 e_1_2_7_6_1 e_1_2_7_5_1 e_1_2_7_4_1 e_1_2_7_3_1 e_1_2_7_9_1 e_1_2_7_8_1 e_1_2_7_7_1 Woinowsky‐Krieger S (e_1_2_7_18_1) 1950; 17 e_1_2_7_19_1 Chen G (e_1_2_7_2_1) 1979; 58 e_1_2_7_17_1 e_1_2_7_16_1 e_1_2_7_15_1 e_1_2_7_14_1 e_1_2_7_13_1 e_1_2_7_12_1 e_1_2_7_11_1 e_1_2_7_10_1 e_1_2_7_21_1 e_1_2_7_20_1 |
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This paper is concerned with the boundary output feedback stabilization for a Kirchhoff‐type nonlinear beam equation with boundary observation subject... This paper is concerned with the boundary output feedback stabilization for a Kirchhoff‐type nonlinear beam equation with boundary observation subject to a... Summary This paper is concerned with the boundary output feedback stabilization for a Kirchhoff-type nonlinear beam equation with boundary observation subject... |
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| SubjectTerms | Active control asymptotical stability Closed loop systems Control theory disturbance rejection Feedback control systems Feedback loops Galerkin approximation Kirchhoff‐type beam Output feedback Stabilization Uniqueness |
| Title | Output feedback stabilization for a Kirchhoff‐type nonlinear beam with general corrupted boundary observation |
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