# Secure and Private Implementation of Dynamic Controllers Using Semi-Homomorphic Encryption

## TL;DR

This paper introduces a method for implementing linear dynamic controllers securely and privately using semi-homomorphic encryption, ensuring system stability and performance while maintaining data privacy.

## Contribution

It proposes a novel approach combining Paillier encryption with periodic state resets to securely implement dynamic controllers.

## Key findings

- Secure implementation of controllers with encryption
- Ensured stability and performance of encrypted control systems
- Demonstrated effectiveness through theoretical analysis

## Abstract

This paper presents a secure and private implementation of linear time-invariant dynamic controllers using Paillier's encryption, a semi-homomorphic encryption method. To avoid overflow or underflow within the encryption domain, the state of the controller is reset periodically. A control design approach is presented to ensure stability and optimize performance of the closed-loop system with encrypted controller.