Robust Adaptive Multi-Switching Synchronization of Multiple Different Orders Unknown Chaotic Systems
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Robust Adaptive Multi-Switching Synchronization of Multiple Different Orders Unknown Chaotic Systems MUHAMMAD Shafiq · ISRAR Ahmad · AMBUSAIDI Mohammed · BASHIR Naderi
DOI: 10.1007/s11424-020-8239-4 Received: 17 August 2018 / Revised: 26 November 2018 c The Editorial Office of JSSC & Springer-Verlag GmbH Germany 2020 Abstract 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. Keywords Chaos synchronization, Lyapunov stability theory, robust adaptive controller, unknown chaotic systems.
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Introduction
The concept of chaos synchronization was first presented by Pecorra and Carroll[1] between two identical chaotic systems coupled in one-to-one (drive-response/master-slave) system synchronization mode. After the pioneering work[2] , there has been increasing interest MUHAMMAD Shafiq Department of Electrical Engineering, Sultan Qaboos University, Oman. Email: [email protected]. ISRAR Ahmad · MOHAMMED Ambusaidi Department of General Requirements, College of Applied Sciences Nizwa, Oman. Email: iak [email protected]; mohamed [email protected]. BASHIR Naderi Department of Mathematics, Payame Noor University, Iran. Email: b [email protected]. This paper was recommended for publication by Editor LIU Guoping.
ROBUST ADAPTIVE MULTI-SWITCHING SYNCHRONIZATION
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in the possibility of synchronizing chaotic systems and has shown successful applications in different scientific fields, for instance the biological system[2] , information processing[3] , image encryption[4] , secret communications[5] , multi-agent systems, [6] and traffic road network[7] , among others. Various effective synchronization control techniques have been proposed. These include, adaptive control strategies[8–13] , sliding mode control approach[14] , optimal control method[15] , nonlinear control[16] , active control strategy[17] , and sample-data co
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