Encrypted polynomial control based on tailored two‐party computation. (18th May 2020)

• Record Type: Journal Article
• Authors: Schulze Darup, Moritz
• Other Names: Chen Jiming guestEditor.; Gupta Vijay guestEditor.; Quevedo Daniel E. guestEditor.; Tesi Pietro guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 30:Number 11(2020)
• Page Start: 4168
• Page End: 4187
• Publication Date: 2020-05-18
• Subjects: encrypted control -- homomorphic encryption -- multiparty computation -- polynomial control -- quantization -- secret sharing; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5003
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: Encrypted control enables confidential controller evaluations in cloud‐based or networked control systems. Roughly speaking, an encrypted controller is a modified control algorithms that is capable of computing encrypted control actions based on encrypted system states. Encrypted control has been realized using different tools from cryptography such as homomorphic encryption, secret sharing, and multiparty computation. However, the vast majority of existing encrypted controllers is linear or makes intensive use of encrypted linear operations. In this article, we present a novel and flexible method for the encrypted implementation of arbitrary polynomial controllers. Technically, our approach builds on tailored two‐party computation combined with secret sharing and additively homomorphic encryption.