A Chaotic Secure Communication System Design Based on Iterative Learning Control Theory

Leonardo Acho

doi:10.3390/app6100311

Abstract

This paper presents an application of Iterative Learning Control (ILC) theory to secure communication system design by using chaotic signals, where the logistic-map is employed as a source of chaos. Meanwhile, the ILC scheme is employed as a tool to encrypt and decrypt a message. A set of numerical experiments is realized to evidence the performance of our system, including the noisy case on the channels of communication of the proposed scheme.

Highlights

Iterative Learning Control theory (ILC; the staple of ILC can be found in a U.S patent filled in and available in 1971 [1]) is basically a control strategy to improve transient response of dynamical systems that operate repetitively
This paper has described an application of the ILC theory to secure communication system design by using a chaotic signal obtained from the chaotic-logistic map
It was evidenced that the main important benefit of the proposed ILC given in [8] is robustness, even on variation in the resetting initial conditions and exogenous noise

Summary

Introduction

Iterative Learning Control theory (ILC; the staple of ILC can be found in a U.S patent filled in and available in 1971 [1]) is basically a control strategy to improve transient response (or the controller performance) of dynamical systems that operate repetitively ( called multi-pass or repetitive dynamic processes). This is done by adjusting the system control input(s) during the system cycle operations [1,2,3,4].

The Canonical ILC System

Chaotic Secure Communication Design Based on ILC Theory

Numerical Experiments

Conclusions