Sliding mode control for generalized robust synchronization of mismatched fractional order dynamical systems and its application to secure transmission of voice messages. (November 2018)

• Record Type: Journal Article
• Authors: Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K.
• Is Part Of: ISA transactions. Volume 82(2018)
• Page Start: 51
• Page End: 61
• Publication Date: 2018-11
• Subjects: Fractional order dynamical system -- Sliding mode control -- Mismatched fractional orders -- Robust synchronization -- Audio encryption; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2017.07.007
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: This paper proposes a generalized robust synchronization method for different dimensional fractional order dynamical systems with mismatched fractional derivatives in the presence of function uncertainty and external disturbance by a designing sliding mode controller. Based on the proposed theory of generalized robust synchronization criterion, a novel audio cryptosystem is proposed for sending or sharing voice messages secretly via insecure channel. Numerical examples are given to verify the potency of the proposed theories. Abstract : Highlights: A sliding mode controller is designed for fractional order dynamical systems with mismatched dimensions and derivatives. A generalized robust synchronization method is proposed by the designed controller. For real life application, a new audio cryptosystem is proposed for sharing voice messages by using the proposed synchronization method. The security analysis of the cryptosystem ensures that the proposed audio cryptosystem is more secure and suitable for sending messages secretly. Numerical simulations are demonstrated to show the feasibility of the proposed theories.