The active disturbance rejection control approach to stabilisation of coupled heat and ODE system subject to boundary control matched disturbance |
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| Authors: | Bao-Zhu Guo Jun-Jun Liu A.S. AL-Fhaid Arshad Mahmood M. Younas Asim Asiri |
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| Affiliation: | 1. Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190, China;2. School of Computational and Applied Mathematics, University of the Witwatersrand, Wits 2050, Johannesburg, South Africabzguo@iss.ac.cn;4. School of Mathematics and Statistics, Beijing Institute of Technology;5. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia |
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| Abstract: | We consider stabilisation for a linear ordinary differential equation system with input dynamics governed by a heat equation, subject to boundary control matched disturbance. The active disturbance rejection control approach is applied to estimate, in real time, the disturbance with both constant high gain and time-varying high gain. The disturbance is cancelled in the feedback loop. The closed-loop systems with constant high gain and time-varying high gain are shown, respectively, to be practically stable and asymptotically stable. |
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| Keywords: | coupled PDE-ODE system boundary control disturbance rejection active disturbance rejection control stability |
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