A non-recursive C1 adaptive stabilization methodology for nonlinearly parameterized uncertain nonlinear systems
A non-recursive adaptive stabilization method, under a semi-global stability objective, is studied in this paper for a class of nonlinearly parameterized uncertain nonlinear systems. By incorporating the homogeneous system theory and a non-recursive synthesis approach, the resulting adaptive stabil...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2020
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| Online Access: | https://hdl.handle.net/10356/145197 |
| _version_ | 1826110025891840000 |
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| author | Zhang, Chuanlin Wen, Changyun |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Zhang, Chuanlin Wen, Changyun |
| author_sort | Zhang, Chuanlin |
| collection | NTU |
| description | A non-recursive adaptive stabilization method, under a semi-global stability objective, is studied in this paper for a class of nonlinearly parameterized uncertain nonlinear systems. By incorporating the homogeneous system theory and a non-recursive synthesis approach, the resulting adaptive stabilizing control scheme can now be constructed within a novel one-step design framework. Employing an adaption law to online determine the time-varying scaling gain, both the controller expression and gain tuning mechanism are much simpler than related existing recursive design approaches. It is also shown that the proposed method will be applicable to a class of non-triangular nonlinear uncertain systems. Besides, considering a smooth control case, a condition of the system nonlinearities is sufficient for deriving an effective linear adaptive stabilizing control scheme. Examples and numerical simulations are provided to demonstrate both the simplicity and effectiveness of the proposed control algorithms. |
| first_indexed | 2024-10-01T02:28:04Z |
| format | Journal Article |
| id | ntu-10356/145197 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:28:04Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1451972020-12-15T03:02:45Z A non-recursive C1 adaptive stabilization methodology for nonlinearly parameterized uncertain nonlinear systems Zhang, Chuanlin Wen, Changyun School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Adaptive Stabilization Method Nonlinear Systems A non-recursive adaptive stabilization method, under a semi-global stability objective, is studied in this paper for a class of nonlinearly parameterized uncertain nonlinear systems. By incorporating the homogeneous system theory and a non-recursive synthesis approach, the resulting adaptive stabilizing control scheme can now be constructed within a novel one-step design framework. Employing an adaption law to online determine the time-varying scaling gain, both the controller expression and gain tuning mechanism are much simpler than related existing recursive design approaches. It is also shown that the proposed method will be applicable to a class of non-triangular nonlinear uncertain systems. Besides, considering a smooth control case, a condition of the system nonlinearities is sufficient for deriving an effective linear adaptive stabilizing control scheme. Examples and numerical simulations are provided to demonstrate both the simplicity and effectiveness of the proposed control algorithms. 2020-12-15T03:02:45Z 2020-12-15T03:02:45Z 2018 Journal Article Zhang, C., & Wen, C. (2018). A non-recursive C1 adaptive stabilization methodology for nonlinearly parameterized uncertain nonlinear systems. Journal of the Franklin Institute, 355(12), 5099-5113. doi:10.1016/j.jfranklin.2018.05.035 0016-0032 https://hdl.handle.net/10356/145197 10.1016/j.jfranklin.2018.05.035 12 355 5099 5113 en Journal of the Franklin Institute © 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. |
| spellingShingle | Engineering::Electrical and electronic engineering Adaptive Stabilization Method Nonlinear Systems Zhang, Chuanlin Wen, Changyun A non-recursive C1 adaptive stabilization methodology for nonlinearly parameterized uncertain nonlinear systems |
| title | A non-recursive C1 adaptive stabilization methodology for nonlinearly parameterized uncertain nonlinear systems |
| title_full | A non-recursive C1 adaptive stabilization methodology for nonlinearly parameterized uncertain nonlinear systems |
| title_fullStr | A non-recursive C1 adaptive stabilization methodology for nonlinearly parameterized uncertain nonlinear systems |
| title_full_unstemmed | A non-recursive C1 adaptive stabilization methodology for nonlinearly parameterized uncertain nonlinear systems |
| title_short | A non-recursive C1 adaptive stabilization methodology for nonlinearly parameterized uncertain nonlinear systems |
| title_sort | non recursive c1 adaptive stabilization methodology for nonlinearly parameterized uncertain nonlinear systems |
| topic | Engineering::Electrical and electronic engineering Adaptive Stabilization Method Nonlinear Systems |
| url | https://hdl.handle.net/10356/145197 |
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