Adaptive nonsingular integral-type dynamic terminal sliding mode synchronizer for disturbed nonlinear systems and its application to secure communication systems

Abstract

This study proposes an adaptive nonsingular integral dynamic terminal sliding mode tracker/synchronizer for disturbed nonlinear systems along with its usage in safe communication systems. The convergence of the closed-loop structure under unknown uncertainty and disturbances is guaranteed via Lyapunov analysis. Furthermore, a parameter-tuning method is planned to approximate the upper bound of uncertainty and disturbance terms, since this latter is typically unknown in practice. The proposed approach is used to design a digital secure transmission scheme according to the chaotic systems. The effectiveness of the suggested approach is validated using computer simulations on a benchmark example of chaotic system. The obtained outcomes clearly confirm the ability of the planned control approach enables to attain the desired tracking/synchronizing performance despite the disturbances. Additionally, when implemented to the data encryption of a communication system, the proposed control and secure communication techniques enabled the complete and secure retrieval of the original digital sequences.

Hamilton energy of a complex chaotic system and offset boosting

“…The change of energy in this complex differential equation can be defined by Based on the Hamilton energy H presented in equation (18), the value of Hamilton energy for the complex system (5) can be controlled by the parameters (a, c) and variables (x 1 , x 2 , x 3 , x 4 , x 5 ).…”

“…According to the Hamilton energy H presented in equation (18), the value of Hamilton energy for the complex system (5) can be controlled by the parameters (a, c). When parameter b = 2.5 and initial values is (1, 1, 2, 2, 3), figure 5 show evolution of Hamilton energy by changing the parameters (a, c).…”

“…Chaos is a seemingly random phenomenon in differential system without any random factors [2]. Chaos theory as a branch of nonlinear science, it has been widely applied in economy [3], weak signal detection [4][5][6], medical diagnosis [7][8][9], image encryption [10][11][12], neural network [13][14][15], and secure communication [16][17][18]. So far, the researchers have proposed a variety of chaotic systems, such as the continuous chaotic systems [16,[19][20][21][22][23][24][25], continuous fractional order chaotic systems [26,27], discrete chaotic maps [28,29], fractional order discrete chaotic maps [30][31][32], memristive chaotic systems [33,34] and maps [35,36], complex chaotic systems [37,38].…”

Fixed-time supper twisting disturbance observer and sliding mode control for a secure communication of fractional-order chaotic systems

“…The synchronization of the chaotic systems with support of the linear matrix inequality and DO can be found in Giap et al (2021c). The sliding mode control for SCS can be found in Vaseghi et al (2022). The SCS of CBS with the design of SMC without the consideration of effects of disturbance and uncertainty can be found in S.…”