Fault compensation control of MIMO nonlinear systems subject to unknown control directions
This study is primarily focused on the issue of low-complexity prescribed performance fault compensation for multi-input and multi-output uncertain nonlinear systems with actuator failures, coupling states, and unknown control directions. First of all, proper logarithm-type error conversion function...
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| Published in | Nonlinear dynamics Vol. 107; no. 1; pp. 1063 - 1079 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Dordrecht
Springer Netherlands
01.01.2022
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0924-090X 1573-269X |
| DOI | 10.1007/s11071-021-07052-4 |
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| Abstract | This study is primarily focused on the issue of low-complexity prescribed performance fault compensation for multi-input and multi-output uncertain nonlinear systems with actuator failures, coupling states, and unknown control directions. First of all, proper logarithm-type error conversion functions and smooth orientation functions are linked to design the continuous control signals in the state feedback controller. Then, based on the idea of proof by contradiction, it is shown that the state errors converge to a predictable compact aggregate at the definite rate. Meanwhile, the boundedness of any closed-loop signals might be guaranteed. The numerical and actual simulation examples are delivered to demonstrate the effectiveness of the developed control strategy at last. |
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| AbstractList | This study is primarily focused on the issue of low-complexity prescribed performance fault compensation for multi-input and multi-output uncertain nonlinear systems with actuator failures, coupling states, and unknown control directions. First of all, proper logarithm-type error conversion functions and smooth orientation functions are linked to design the continuous control signals in the state feedback controller. Then, based on the idea of proof by contradiction, it is shown that the state errors converge to a predictable compact aggregate at the definite rate. Meanwhile, the boundedness of any closed-loop signals might be guaranteed. The numerical and actual simulation examples are delivered to demonstrate the effectiveness of the developed control strategy at last. |
| Author | Dun, Yi-Fan Hu, Yu-Han Fan, Jun-Mei Wu, Li-Bing Zhang, Zhi-Guo |
| Author_xml | – sequence: 1 givenname: Yi-Fan surname: Dun fullname: Dun, Yi-Fan organization: School of Science, University of Science and Technology Liaoning – sequence: 2 givenname: Li-Bing orcidid: 0000-0002-5343-4342 surname: Wu fullname: Wu, Li-Bing email: beyondwlb@163.com organization: School of Science, University of Science and Technology Liaoning – sequence: 3 givenname: Yu-Han surname: Hu fullname: Hu, Yu-Han organization: School of Science, University of Science and Technology Liaoning – sequence: 4 givenname: Jun-Mei surname: Fan fullname: Fan, Jun-Mei organization: School of Mathematical Science, Dalian University of Technology – sequence: 5 givenname: Zhi-Guo surname: Zhang fullname: Zhang, Zhi-Guo organization: Library of the Information Center, Guidaojiaotong Polytechnic Institute |
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| Cites_doi | 10.1016/j.conengprac.2020.104675 10.1002/rnc.4486 10.1016/j.fss.2014.05.015 10.1109/TAC.2019.2910738 10.1109/TFUZZ.2017.2687405 10.1080/00207179108934159 10.1016/j.neucom.2016.09.061 10.1016/j.isatra.2020.08.027 10.1109/TNN.2010.2042611 10.1016/j.jfranklin.2018.08.027 10.1016/S0005-1098(98)00236-2 10.1016/j.neucom.2018.05.063 10.1016/j.automatica.2014.02.020 10.1016/j.automatica.2015.01.038 10.1109/TIE.2002.1005380 10.1109/TAC.2010.2041986 10.1080/00207179308923015 10.1109/TFUZZ.2016.2604848 10.1109/TCYB.2019.2901250 10.1016/j.isatra.2020.05.007 10.1109/TNNLS.2021.3100147 10.1080/00207179.2018.1484170 10.1109/TIE.2017.2669891 10.1109/TNN.2002.804306 10.1016/S0005-1098(96)00222-1 10.1109/TNNLS.2014.2320305 10.1016/S0005-1098(01)00069-3 10.1109/TAC.2017.2705033 10.1109/WCICA.2012.6358388 10.1007/s11071-017-4011-2 10.1109/TCST.2008.924576 10.1109/TSMC.2019.2894750 10.1016/j.automatica.2008.08.012 10.1109/TSMC.2015.2486751 10.1016/j.jfranklin.2013.05.002 10.1109/TAC.2015.2450891 10.1109/TAC.2008.929402 10.1007/s11071-017-3984-1 10.1109/TFUZZ.2014.2327987 10.1109/TAC.2010.2046935 10.1016/j.automatica.2011.05.021 10.1016/j.automatica.2011.01.025 10.1109/TFUZZ.2016.2566803 10.1007/s11071-017-3614-y 10.1002/acs.2629 10.1109/TNNLS.2020.2979174 10.1109/TCYB.2020.3044883 10.1109/TCST.2014.2298238 |
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| Keywords | MIMO nonlinear systems Prescribed performance control (PPC) Unknown control directions Fault-tolerant control (FTC) |
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| SubjectTerms | Actuators Approximation Automotive Engineering Classical Mechanics Compensation Control Control algorithms Control systems Controllers Dynamical Systems Engineering Feedback control Mechanical Engineering Neural networks Nonlinear control Nonlinear systems Original Paper State feedback Vibration |
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