Chaos synchronization of unknown inputs Takagi-Sugeno fuzzy: Application to secure communications

Abstract

This note deals with the observer design for unknown inputs Takagi–Sugeno fuzzy systems with application in chaos synchronization and secure communications. Using Lyapunov method, sufficient synthesis conditions are given in Linear Matrix Inequalities (LMI) terms. The given design is then applied in a chaos synchronization and secure communication procedure where the plaintext (message) is encrypted using chaotic signals at the drive system side. The plaintext is retrieved via the designed unknown input observer. A pole placement in an LMI region is also considered to improve the observer performances. An illustrative example is given to show the effectiveness of the given design.