TY - JOUR
T1 - Robust Adaptive Multi-Switching Synchronization of Multiple Different Orders Unknown Chaotic Systems
AU - Muhammad, Shafiq
AU - Israr, Ahmad
AU - Ambusaidi, Mohammed
AU - Bashir, Naderi
N1 - Publisher Copyright:
© 2020, The Editorial Office of JSSC & Springer-Verlag GmbH Germany.
PY - 2020/10/1
Y1 - 2020/10/1
N2 - Multi-switching synchronization (MSS) of multiple different orders unknown chaotic (UC) systems confines hacking in the digital transmission process. Similarly, the suppression of undesirable chattering increases synchronization performance. This paper proposes a new robust synchronization control (RASC) technique and discusses the MSS of multiple different orders UC systems. This controller accomplishes (i) quick convergence, (ii) reduces the transient oscillations, and (iii) the rate of convergence decreases in the vicinity of the origin that causes the suppression of chattering. Analysis based on the Lyapunov direct method assures this convergence behavior with any positive values of the feedback gains. This work also provides parameters updated law that estimates the true values of unknown parameters. Numerical examples of five UC systems different orders are simulated. The computer based graphical results validate the efficiency and performance of the proposed RASC technique and the synchronization strategy when compare to peer works. In the simulation, the proposed synchronization strategy successfully recovers an encrypted received image on a communication channel. The article suggests some future research problems to extend the use of the proposed work.
AB - Multi-switching synchronization (MSS) of multiple different orders unknown chaotic (UC) systems confines hacking in the digital transmission process. Similarly, the suppression of undesirable chattering increases synchronization performance. This paper proposes a new robust synchronization control (RASC) technique and discusses the MSS of multiple different orders UC systems. This controller accomplishes (i) quick convergence, (ii) reduces the transient oscillations, and (iii) the rate of convergence decreases in the vicinity of the origin that causes the suppression of chattering. Analysis based on the Lyapunov direct method assures this convergence behavior with any positive values of the feedback gains. This work also provides parameters updated law that estimates the true values of unknown parameters. Numerical examples of five UC systems different orders are simulated. The computer based graphical results validate the efficiency and performance of the proposed RASC technique and the synchronization strategy when compare to peer works. In the simulation, the proposed synchronization strategy successfully recovers an encrypted received image on a communication channel. The article suggests some future research problems to extend the use of the proposed work.
KW - Chaos synchronization
KW - Lyapunov stability theory
KW - robust adaptive controller
KW - unknown chaotic systems
UR - http://www.scopus.com/inward/record.url?scp=85094672033&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85094672033&partnerID=8YFLogxK
U2 - 10.1007/s11424-020-8239-4
DO - 10.1007/s11424-020-8239-4
M3 - Article
AN - SCOPUS:85094672033
SN - 1009-6124
VL - 33
SP - 1330
EP - 1359
JO - Journal of Systems Science and Complexity
JF - Journal of Systems Science and Complexity
IS - 5
ER -