Synchronisation and anti‐synchronisation of chaotic systems with application to DC–DC boost converter

A Simple Chaotic Flow with Hyperbolic Sinusoidal Function and Its Application to Voice Encryption

“…Chaotic flows are mathematical models originated from the rules of defining chaotic behaviors [1,2]. In the former decades, the chaos theory has been employed in numerous fields such as digital signature [3], secure cryptography [4], pseudorandom number generation [5], secure communication [6], weak signal detection [7], DC-DC boost converter [8], image encryption [9], neurophysiology [10], secure data transmission [11], etc. For the control and synchronization purposes of chaotic systems, several techniques like active control [12], fuzzy control [13], linear matrix inequality (LMI) [14], sampled-data control [15], impulsive adaptive control [16], intermittent control [17] and sliding mode control (SMC) [18] have been introduced.…”

Modeling and analysis of complex dynamics for dSPACE controlled closed‐loop DC‐DC boost converter

“…The first‐scale instability that takes place in the system (ie, period‐doubling bifurcation) when primary parameter is varied . The synchronization and anti‐synchronization of chaotic systems with application to boost converter in simulation were described by R. Sakthivel et al L. Cheng et al introduced a circuit‐oriented geometrical approach in predicting subharmonic oscillation of VMC switching converters . The transient characteristics of the cascaded boost converter under a large disturbance by using nonlinear modal series method were reported by H. Zhang et al The nonlinear phenomena like chaos and other periodic motion, which are influenced by system parameters, topological structure, load, and pulse period in a single‐stage boost converter were discussed by R. Zhang et al B. S. Tekpeti et al studied the design and modeling of boost converter for photovoltaic systems in simulation …”

“…Although the considerable amount of works has already been done by previous researchers, some important portions of the dynamics study of converters are still uncovered. It has been observed from the aforesaid literatures that the most of the prior researchers have been used state space averaging (SSA) method for converter modeling, has been implemented using integral controller for closed‐loop operation etc.…”

Reduced‐order fractional integral observer for synchronisation and anti‐synchronisation of fractional‐order chaotic systems

“…This problem has appeared in modern repetitions of Huygens' experiments [19], lasers [20, 21], salt‐water oscillators [22] and some biological systems where a non‐chaotic signal is generated [23]. Anti‐synchronisation has been treated as a direct modification of synchronisation, simply with a sign change in the condition required for the error, and has been attacked with methods such as the active control [24, 25], the sliding mode control [26] and the sampled‐data feedback control [27].…”