Encrypted observer-based control for linear continuous-time systems

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dc.contributor.authorNguyen, Hung
dc.contributor.authorNguyen, Binh
dc.contributor.authorLee, Hyung-Gohn
dc.contributor.authorAhn, Hyo-Sung
dc.date.accessioned2023-03-07T20:24:41Z
dc.date.available2023-03-07T20:24:41Z
dc.date.issued2023-03-02
dc.description.abstractThis paper is concerned with the stability analysis of encrypted observer-based control for linear continuous-time systems. Since conventional encryption has limited ability to de ploy in continuous-time integral computation, our work presents systematically a new design of encryption for a continuous-time observer-based control scheme. To be specific, in this paper, both control parameters and signals are encrypted by the learning with-errors (LWE) encryption to avoid data eavesdropping. Furthermore, we propose encrypted computations for the observer based controller based on its discrete-time model, and present a continuous-time virtual dynamics of the controller for further stability analysis. Accordingly, we present novel stability criteria by introducing linear matrix inequalities (LMIs)-based conditions associated with quantization gains and sampling intervals. The established stability criteria with theoretical proofs based on a discontinuous Lyapunov functional possibly provide a way to select quantization gains and sampling intervals to guarantee the stability of the closed-loop system. Numerical results on DC motor control corresponding to several quantization gains and sampling intervals demonstrate the validity of our method.en_US
dc.description.abstractThis paper is concerned with the stability analysis of encrypted observer-based control for linear continuous-time systems. Since conventional encryption has limited ability to de ploy in continuous-time integral computation, our work presents systematically a new design of encryption for a continuous-time observer-based control scheme. To be specific, in this paper, both control parameters and signals are encrypted by the learning with-errors (LWE) encryption to avoid data eavesdropping. Furthermore, we propose encrypted computations for the observer based controller based on its discrete-time model, and present a continuous-time virtual dynamics of the controller for further stability analysis. Accordingly, we present novel stability criteria by introducing linear matrix inequalities (LMIs)-based conditions associated with quantization gains and sampling intervals. The established stability criteria with theoretical proofs based on a discontinuous Lyapunov functional possibly provide a way to select quantization gains and sampling intervals to guarantee the stability of the closed-loop system. Numerical results on DC motor control corresponding to several quantization gains and sampling intervals demonstrate the validity of our method.
dc.identifier.citationNguyen, H., Nguyen, B., Lee, H.-G., & Ahn, H.-S. (2023, March 2). Encrypted observer-based control for linear continuous-time systems. arXiv.org. Retrieved from https://doi.org/10.48550/arxiv.2303.00963en_US
dc.identifier.citationNguyen, H., Nguyen, B., Lee, H.-G., & Ahn, H.-S. (2023, March 2). Encrypted observer-based control for linear continuous-time systems. arXiv.org. Retrieved from https://doi.org/10.48550/arxiv.2303.00963
dc.identifier.doihttps://doi.org/10.48550/arxiv.2303.00963
dc.identifier.urihttps://hdl.handle.net/1969.6/95583
dc.language.isoen_USen_US
dc.language.isoen_US
dc.rightsAttribution 4.0 International*
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectLWE-based encryptionen_US
dc.subjectobserved-based controlleren_US
dc.subjectsampled-data systemen_US
dc.subjectdiscontinuous Lyapunov functionalen_US
dc.subjectLMIsen_US
dc.subjectLWE-based encryption
dc.subjectobserved-based controller
dc.subjectsampled-data system
dc.subjectdiscontinuous Lyapunov functional
dc.subjectLMIs
dc.titleEncrypted observer-based control for linear continuous-time systemsen_US
dc.titleEncrypted observer-based control for linear continuous-time systems
dc.typeArticleen_US
dc.typeArticle

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