Observer-based synchronization of uncertain chaotic systems subject to input saturation

Abstract

This paper considers the synchronization between two chaotic systems (i.e. master and slave systems) in the presence of practical constraints. The considered constraints are: the unavailability of state variables of both master and slave system, the presence of non-symmetric input saturation, model uncertainties and/or external disturbances (matched and/or unmatched). Considering these constraints, an adaptive robust observer-based controller is designed, which guarantees synchronization between the chaotic systems. For this purpose, a theorem is given and, according to a Lyapunov adaptive stabilization approach, it is proved that the robust synchronization via the proposed observer-based controller is guaranteed in the presence of actuator saturation and it is shown that even if the control signal is saturated, the proposed controller leads to a robust synchronization objective. Finally, in order to show the applicability of the proposed controller, it is applied on the Van der Pol chaotic systems. Computer simulations verify the theoretical results and show the effective performance of the proposed controller.

Impulsive Synchronization of Fractional-Order Chaotic Systems With Actuator Saturation and Control Gain Error

“…In [4], the chaos synchronization case was discussed for the first time, and a variety of significant and representative control protocols were designed subsequently to achieve the synchronization objective of chaotic dynamical systems. The representative synchronization protocols consist of linear and nonlinear feedback control [5], [6], sliding mode control [7], [8], eventtriggered control [9], [10], nonlinear observer approach [11], [12], fuzzy approach [13], [14], adaptive control [15], [16], etc. It should be noted that the impulsive control approach, one discontinuous control protocol, has special advantages over the above continuous ones.…”

“…It often destroy the control performance and effectiveness or even the stability to a great extent if the effect of the actuator saturation is ignored [35]. Owing to the importance and significance of the saturation, there are many results about the actuator saturation in recent years [11], [36]- [40]. For instance, in [36], the synchronization of nonlinear master and slave systems with input saturation and input delay (delay-range dependent) was investigated.…”

“…In [38], the adaptive synchronization for the unknown chaotic systems with external unknown disturbances and input saturation was investigated, and the prescribed performance can be assured. In [11], the chaos synchronization with model uncertainties, non-symmetric input saturation and external disturbances was discussed. In [39], the synchronization case of delayed complex networks with actuator saturations via intermittent controller was studied.…”

Event-triggered composite nonlinear control for saturated systems with measurement feedback

“…To deal with saturation nonlinearity, different methods have been proposed, including the convex combination method (Hu et al, 2002), dead-zone function method (Tong and Li, 2013) and anti-windup compensation method (Gayadeen and Duncan, 2016; Li et al, 2016a; Li and Lin, 2014). For local stability, scholars are devoted to calculating the domain of attraction for both continuous-time systems (Mohammadpour and Binazadeh, 2018; Tarbouriech et al, 2011; Zuo et al, 2010) and discrete-time systems (Binazadeh and Bahmani, 2017; Gayadeen and Duncan, 2016).…”

Robust finite-time synchronization of uncertain chaotic systems: application on Duffing-Holmes system and chaos gyros

“…In this structure, the state trajectories of the slave system should track the state trajectories of the master system. Until now, a wide variety of approaches have been proposed for the synchronization of chaotic systems which include adaptive control (Mohammadpour & Binazadeh, 2018a;Yau & Chen, 2007), observer-based control (Mohammadpour & Binazadeh, 2017, 2018b, sliding mode control (Li, Liao, Li, & Li, 2011), backstepping control (Xing-Yuan & Hao, 2013), active control (Cai, Jing, & Zhang, 2010), fractional-order control (Velmurugan & Rakkiyappan, 2016), fuzzy control approach (Lin & Wang, 2011) and so on.…”