A new adaptive variable structure control for chaotic synchronization and secure communication

Generalized passivity-based chaos synchronization

“…The relation (16) satisfies the passivity definition (3). Therefore, the error system (6) is rendered to be passive from the external input v(t) to the output y(t) under the feedback control input…”

“…It has been widely explored in a variety of fields including physical, chemical, and ecological systems [2] . In the literature, various synchronization schemes, such as the variable structure control [3] , the OGY method [4] , the parameter adaptive control [5][6] , the observer-based control [7] , the active control [8][9] , the time-delay feedback approach [10] , the backstepping design technique [11][12] , and the complete synchronization [13] , have been successfully applied to the chaos synchronization.…”

Fuzzy H∞ Synchronization for Chaotic Systems with Time-Varying Delay

“…It has been widely explored in a variety of fields including physical, chemical, and ecological systems [2]. In the literature, various synchronization schemes, such as variable structure control [3], Ott-Grebogi-Yorke (OGY) method [4], parameters adaptive control [5], observer-based control [6], active control [7,8], time-delay feedback approach [9], backstepping design technique [10], complete synchronization [11], and so on, have been successfully applied to the chaos synchronization.…”

Adaptive Control for Modified Projective Synchronization-Based Approach for Estimating All Parameters of a Class of Uncertain Systems: Case of Modified Colpitts Oscillators

“…In fact, it is obvious that practical controllers should have simple structures. Besides, the projective synchronization (PS) has been used in the research on secure communication 2 Journal of Chaos [21] because of the unpredictability of the scaling factor which may be a useful element.…”

“…It has been shown that the MCO can exhibit complicated dynamics with reference to the classical Colpitts oscillator linked to its nonlinearity topology which is a great advantage in telecommunication. In general, the security of chaos-based communication systems is dependent on the complexity degree of master's dynamics, carrying signal as well as the encryption scheme used [21]. There are few studies in the synchronization of the MCO [36,37], though these systems are widely encountered in practice, in particular in communication [38].…”