Adaptive Control for Complex Systems with Dynamics and Time-Varying Powers
This work focuses on presenting a control algorithm to investigate nonlinear systems, which contain time-varying powers, inverse dynamics, and uncertainties. First, some appropriate transformations are introduced to obtain a new system. Then, a Lyapunov function, which covers quadratic and high-orde...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2023/2127312 |
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| _version_ | 1849434818437185536 |
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| author | Lingrong Xue Zhen-Guo Liu |
| author_facet | Lingrong Xue Zhen-Guo Liu |
| author_sort | Lingrong Xue |
| collection | DOAJ |
| description | This work focuses on presenting a control algorithm to investigate nonlinear systems, which contain time-varying powers, inverse dynamics, and uncertainties. First, some appropriate transformations are introduced to obtain a new system. Then, a Lyapunov function, which covers quadratic and high-order components, is recursively constructed for control design. Subsequently, by introducing the neural networks, the uncertain functions encountered during the design are approximated. Based on the inequality techniques, the nonlinear terms are skillfully estimated. By defining the bounds of some unknown parameters and using the adaptive technique, some virtual controllers are selected in each step to dominate the nonlinear functions and guarantee that the derivative of the Lyapunov function satisfies the required form. Finally, a new adaptive controller is constructed and semiglobal practical finite time stability (SGPFS) is guaranteed. The proposed approach is verified with a numerical example. |
| format | Article |
| id | doaj-art-5b816adb23b245bc85c5e2ed18dea25a |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5b816adb23b245bc85c5e2ed18dea25a2025-08-20T03:26:30ZengWileyComplexity1099-05262023-01-01202310.1155/2023/2127312Adaptive Control for Complex Systems with Dynamics and Time-Varying PowersLingrong Xue0Zhen-Guo Liu1School of InformationSchool of Automation and Software EngineeringThis work focuses on presenting a control algorithm to investigate nonlinear systems, which contain time-varying powers, inverse dynamics, and uncertainties. First, some appropriate transformations are introduced to obtain a new system. Then, a Lyapunov function, which covers quadratic and high-order components, is recursively constructed for control design. Subsequently, by introducing the neural networks, the uncertain functions encountered during the design are approximated. Based on the inequality techniques, the nonlinear terms are skillfully estimated. By defining the bounds of some unknown parameters and using the adaptive technique, some virtual controllers are selected in each step to dominate the nonlinear functions and guarantee that the derivative of the Lyapunov function satisfies the required form. Finally, a new adaptive controller is constructed and semiglobal practical finite time stability (SGPFS) is guaranteed. The proposed approach is verified with a numerical example.http://dx.doi.org/10.1155/2023/2127312 |
| spellingShingle | Lingrong Xue Zhen-Guo Liu Adaptive Control for Complex Systems with Dynamics and Time-Varying Powers Complexity |
| title | Adaptive Control for Complex Systems with Dynamics and Time-Varying Powers |
| title_full | Adaptive Control for Complex Systems with Dynamics and Time-Varying Powers |
| title_fullStr | Adaptive Control for Complex Systems with Dynamics and Time-Varying Powers |
| title_full_unstemmed | Adaptive Control for Complex Systems with Dynamics and Time-Varying Powers |
| title_short | Adaptive Control for Complex Systems with Dynamics and Time-Varying Powers |
| title_sort | adaptive control for complex systems with dynamics and time varying powers |
| url | http://dx.doi.org/10.1155/2023/2127312 |
| work_keys_str_mv | AT lingrongxue adaptivecontrolforcomplexsystemswithdynamicsandtimevaryingpowers AT zhenguoliu adaptivecontrolforcomplexsystemswithdynamicsandtimevaryingpowers |