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| Exponential stabilization of an n-star thermoelastic network system based on time-varying gains extended state observer |
| LingweiZheng1,LeiWang1,ZhiqiangGao2 |
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| (1 School of Science, Tianjin University of Technology, Tianjin 300384, China;2 Department of Electrical and Computer Engineering, Cleveland State University, Cleveland, OH 44115, USA) |
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| 摘要: |
| This study investigates the stabilization challenge at the boundaries of a type II thermoelastic network with n-star configuration
and terminal masses, which experiences non-uniform bounded external disturbances at its control boundary. This research
employs an advanced active disturbance rejection control framework, incorporating an innovative observer with adaptive gain
characteristics for precise disturbance estimation, coupled with a robust feedback control mechanism for disturbance compensation.
The theoretical analysis establishes rigorous convergence proofs for the proposed time-dependent extended state
observer. Furthermore, this investigation utilizes semigroup theory to validate the closed-loop system’s well-posed. Through
comprehensive Lyapunov-based analysis, this study confirms the system’s capability to achieve exponential convergence of
tracking errors while effectively mitigating disturbance effects. Extensive numerical experiments corroborate the theoretical
findings, demonstrating the control scheme’s practical efficacy |
| 关键词: Active disturbance rejection control (ADRC) · Thermoelastic system · Star-shaped · Extended state observer (ESO) · Exponential stability |
| DOI：https://doi.org/10.1007/s11768-025-00283-5 |
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| 基金项目: |
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| Exponential stabilization of an n-star thermoelastic network system based on time-varying gains extended state observer |
| Lingwei Zheng1,Lei Wang1,Zhiqiang Gao2 |
| (1 School of Science, Tianjin University of Technology, Tianjin 300384, China;2 Department of Electrical and Computer Engineering, Cleveland State University, Cleveland, OH 44115, USA) |
| Abstract: |
| This study investigates the stabilization challenge at the boundaries of a type II thermoelastic network with n-star configuration
and terminal masses, which experiences non-uniform bounded external disturbances at its control boundary. This research
employs an advanced active disturbance rejection control framework, incorporating an innovative observer with adaptive gain
characteristics for precise disturbance estimation, coupled with a robust feedback control mechanism for disturbance compensation.
The theoretical analysis establishes rigorous convergence proofs for the proposed time-dependent extended state
observer. Furthermore, this investigation utilizes semigroup theory to validate the closed-loop system’s well-posed. Through
comprehensive Lyapunov-based analysis, this study confirms the system’s capability to achieve exponential convergence of
tracking errors while effectively mitigating disturbance effects. Extensive numerical experiments corroborate the theoretical
findings, demonstrating the control scheme’s practical efficacy |
| Key words: Active disturbance rejection control (ADRC) · Thermoelastic system · Star-shaped · Extended state observer (ESO) · Exponential stability |
