Adaptive sliding mode control approach

Abstract

The main goal of the present research is to deal with two non-identical hyperchaotic master–slave systems based on an efficient adaptive sliding mode control algorithm, namely the adaptive sliding mode control approach. As long as both non-identical systems are synchronized, the systems mentioned need to be handled through the proposed control algorithm. Since the effect of the external disturbance and uncertainty may truly be ignored, the whole of the chosen states of the slave system should be followed by the corresponding states of the master system in a very careful manner. The proposed adaptive sliding mode control approach has been realized to cope with the synchronization error, in a reasonable amount of time, in order to drive the applicable hyperchaotic systems. Finally, the performance of the proposed control scheme is verified via the simulation results.

Research on Chaos Synchronization of Qi System and LüSystem with Different Structures

“…In the study of two chaotic systems, firstly, the equilibrium point of the control system is analyzed. Then, according to the stability conclusion of Lyapunov's law, the correctness of the theoretical simulation results is verified by using the function method and numerical simulation [3], [4], [5]. The adaptive synchronization controller is designed and the adaptive synchronization method of chaotic system is discussed.…”

Projective synchronization for a new class of chaotic/hyperchaotic systems with and without parametric uncertainty

“…Numerous control procedures have been established for chaos synchronization of chaotic/hyperchaotic systems. For example, observer-based control (Mohammadpour and Binazadeh, 2018), adaptive control (Ahmad and Shafiq, 2020; Wu et al, 2008), backstepping control (Vincent, 2008), active control (Pallav and Handa, 2021; Park, 2006; Vaidyanathan, 2011), sliding mode control (Chen et al, 2012; Shahi and Fallah Kazemi, 2017), feedback control (Pallav and Handa, 2022), and so on. Several synchronization schemes such as hybrid synchronization (Singh et al, 2014a), generalized synchronization (Wang and Guan, 2006), complete synchronization (Fabiny and Wiesenfeld, 1991), anti-synchronization (Mossa Al-sawalha and Noorani, 2009), hybrid projective synchronization (HPS; Mainieri and Rehacek, 1999; Wei et al, 2014), projective synchronization (Li, 2007), and so on have also been introduced and are gaining popularity with time.…”

Chaos control and chaos synchronization using the state-dependent Riccati equation techniques

“…In Aghababa and Feizi (2012), Yahyazadeh et al (2011) and Lü et al (2016), robust sliding mode controllers were designed to synchronize some chaotic systems in the presence of parametric uncertainties and external disturbances. Robust adaptive controllers have also been widely used in order to solve the chaos synchronization issue (Pourmahmood et al, 2011; Shahi and Fallah Kazemi, 2017; Ye and Deng, 2012; Lin and Yan, 2009). Fuzzy techniques have been utilized to solve both the chaos control problem and the chaos synchronization problem (Boulkroune et al, 2016; Wen and Jiang, 2011; Hu et al, 2011).…”