Abstract
In this paper, we consider the output feedback exponential stabilization problem of ODE-Schrödinger cascade systems with the external disturbance. We propose a new extended state observer (ESO) that estimates both state and disturbance by the three output signals, then design a stabilizing control law by utilizing the backstepping technique. The resulting closed-loop system is shown to be exponentially stable guaranteeing that all internal systems involved are uniformly bounded. Finally, some numerical experiments are carried out to verify the effectiveness of the proposed control law.
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Funding
This work was supported by the Natural Science Foundation of Shanxi Province (201701D221013), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (STIP201802042), and the Opening Project of State Key Laboratory of Explosion Science and Technology (Beijing Institute of Technology, KFJJ19-06M).
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Jia, YN., Liu, JJ. Output Feedback Stabilization of an ODE-Schrödinger Cascade System Subject to Boundary Control Matched Unknown Disturbance. J Dyn Control Syst 26, 393–405 (2020). https://doi.org/10.1007/s10883-019-09461-6
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DOI: https://doi.org/10.1007/s10883-019-09461-6