Cloud‐Based Privacy‐Preserving Robust Model Predictive Control Using Semi‐Homomorphic Encryption.

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Title: Cloud‐Based Privacy‐Preserving Robust Model Predictive Control Using Semi‐Homomorphic Encryption.
Authors: Peng, Kai‐Yu1 (AUTHOR), Xie, Wei1 (AUTHOR) weixie@scut.edu.cn, Zhang, Lang‐wen1 (AUTHOR), Mo, Wen‐jun1 (AUTHOR)
Source: International Journal of Robust & Nonlinear Control. Apr2026, Vol. 36 Issue 6, p3198-3209. 12p.
Subjects: Data encryption, Closed loop system stability, Fault-tolerant control systems, Homomorphisms, Data security, Uncertain systems, Mathematical optimization, Feedback control systems
Abstract: In cloud‐based control architectures, a robust model predictive control (RMPC) using semi‐homomorphic encryption is proposed to ensure the stability of polytopic uncertain systems while preserving system privacy and security. Firstly, a cloud‐based encrypted RMPC (ERMPC) framework is proposed, and semi‐homomorphic encryption is utilized to enable encrypted evaluation of control inputs. Secondly, an optimization problem is formulated to address both model uncertainties and quantization‐induced system errors, ensuring closed‐loop stability and invariance through the notion of quadratic boundedness. Thirdly, an ERMPC algorithm is presented, and conditions for selecting encryption‐related parameters are provided to guarantee the stability and bounded control performance of the encrypted cloud‐based control systems. Finally, a numerical example is conducted to demonstrate the effectiveness of the proposed approach in enhancing privacy and security in cloud‐based control systems. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Robust & Nonlinear Control is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Cloud‐Based Privacy‐Preserving Robust Model Predictive Control Using Semi‐Homomorphic Encryption.
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  Data: <searchLink fieldCode="AR" term="%22Peng%2C+Kai‐Yu%22">Peng, Kai‐Yu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Xie%2C+Wei%22">Xie, Wei</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> weixie@scut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Lang‐wen%22">Zhang, Lang‐wen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mo%2C+Wen‐jun%22">Mo, Wen‐jun</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Robust+%26+Nonlinear+Control%22">International Journal of Robust & Nonlinear Control</searchLink>. Apr2026, Vol. 36 Issue 6, p3198-3209. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Data+encryption%22">Data encryption</searchLink><br /><searchLink fieldCode="DE" term="%22Closed+loop+system+stability%22">Closed loop system stability</searchLink><br /><searchLink fieldCode="DE" term="%22Fault-tolerant+control+systems%22">Fault-tolerant control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Homomorphisms%22">Homomorphisms</searchLink><br /><searchLink fieldCode="DE" term="%22Data+security%22">Data security</searchLink><br /><searchLink fieldCode="DE" term="%22Uncertain+systems%22">Uncertain systems</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In cloud‐based control architectures, a robust model predictive control (RMPC) using semi‐homomorphic encryption is proposed to ensure the stability of polytopic uncertain systems while preserving system privacy and security. Firstly, a cloud‐based encrypted RMPC (ERMPC) framework is proposed, and semi‐homomorphic encryption is utilized to enable encrypted evaluation of control inputs. Secondly, an optimization problem is formulated to address both model uncertainties and quantization‐induced system errors, ensuring closed‐loop stability and invariance through the notion of quadratic boundedness. Thirdly, an ERMPC algorithm is presented, and conditions for selecting encryption‐related parameters are provided to guarantee the stability and bounded control performance of the encrypted cloud‐based control systems. Finally, a numerical example is conducted to demonstrate the effectiveness of the proposed approach in enhancing privacy and security in cloud‐based control systems. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Robust & Nonlinear Control is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1002/rnc.70339
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 12
        StartPage: 3198
    Subjects:
      – SubjectFull: Data encryption
        Type: general
      – SubjectFull: Closed loop system stability
        Type: general
      – SubjectFull: Fault-tolerant control systems
        Type: general
      – SubjectFull: Homomorphisms
        Type: general
      – SubjectFull: Data security
        Type: general
      – SubjectFull: Uncertain systems
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
      – SubjectFull: Feedback control systems
        Type: general
    Titles:
      – TitleFull: Cloud‐Based Privacy‐Preserving Robust Model Predictive Control Using Semi‐Homomorphic Encryption.
        Type: main
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          Name:
            NameFull: Peng, Kai‐Yu
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            NameFull: Xie, Wei
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            NameFull: Zhang, Lang‐wen
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            NameFull: Mo, Wen‐jun
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            – D: 01
              M: 04
              Text: Apr2026
              Type: published
              Y: 2026
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              Value: 36
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            – TitleFull: International Journal of Robust & Nonlinear Control
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