Dynamic controller that operates over homomorphically encrypted data for infinite time horizon
In this paper, we present a dynamic feedback controller that computes the next state and the control signal over encrypted data using homomorphic properties of cryptosystems, whose performance is equivalent to the linear dynamic controllers over real-valued data. Assuming that the input as well as the output of the plant is encrypted and transmitted back to the controller, it is shown that the state matrix of any linear time-invariant controller can be always converted to a matrix of integer components. This allows the dynamic feedback controller to operate for infinite time horizon without decryption or reset of its internal state. For implementation in practice, we illustrate the use of a cryptosystem that is based on the Learning With Errors problem, which allows both multiplication and addition over encrypted data. It is also shown that the effect of injected random numbers during encryption for security can be maintained within a small bound by way of the closed-loop stability.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
HERS: Homomorphically Encrypted Representation Search
We present a method to search for a probe (or query) image representation against a large gallery in the encrypted domain. We require that the probe and gallery images be represented in terms of a fixed-length representa…
Image RetrievalInput-Output History Feedback Controller for Encrypted Control with Leveled Fully Homomorphic Encryption
Protecting the parameters, states, and input/output signals of a dynamic controller is essential for securely outsourcing its computation to an untrusted third party. Although a fully homomorphic encryption scheme allows…
Asymptotic tracking control of dynamic reference over homomorphically encrypted data with finite modulus
This paper considers a tracking control problem, in which the dynamic controller is encrypted with an additively homomorphic encryption scheme and the output of a process tracks a dynamic reference asymptotically. Our pa…
QuantizationHigh-Resolution Convolutional Neural Networks on Homomorphically Encrypted Data via Sharding Ciphertexts
Recently, Deep Convolutional Neural Networks (DCNNs) including the ResNet-20 architecture have been privately evaluated on encrypted, low-resolution data with the Residue-Number-System Cheon-Kim-Kim-Song (RNS-CKKS) homom…
Cyber-Secure Teleoperation With Encrypted Four-Channel Bilateral Control
This study developed an encrypted four-channel bilateral control system that enables posture synchronization and force feedback for leader and follower robot arms. The encrypted bilateral control system communicates encr…
Robot Manipulation