Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Abstract

Summary This paper studies the event‐triggered H∞ control for synchronization of networked switched master‐slave systems under external disturbance, stochastic attacks, and quantization. With the proposed event‐triggering schemes, the communication frequency and data packets can be effectively regulated and reduced. To reduce further the burden of network transmission, the quantized control is applied. Moreover, the network transmission delay and the stochastic cyberattacks are concerned. In addition, the synchronization problem between switched master systems and switched slave systems is transformed into a stability problem of switched error systems. By adopting multiple Lyapunov functions and average dwell time method, sufficient conditions are constructed to assure the mean‐square exponential stability with H∞ performance of the switched error systems. Meanwhile, the stagger between data switching instants and triggering instants is discussed in the system in detail. Accordingly, the controller gains and event‐triggering parameters are obtained utilizing a set of linear matrix inequalities. Finally, a numerical simulation and a practical example are illustrated to demonstrate the effectiveness of the presented method.

Robust Synchronization of Class Chaotic Systems Using Novel Time‐Varying Gain Disturbance Observer‐Based Sliding Mode Control

“…From ( 13), to achieve the high observation precision, the observer gain k DOi should be large enough. However, from (11), it is clear that the initial value D DOi (0) may be very large if k DOi is a high gain and the initial estimate state error Z DOi (0) − s i (0) ≠ 0. Actually, the initial values of true state s i (0) cannot be known in advance for most of the cases.…”

“…From the previous discussion in Section 2.2, it can be known that the undesirable spike problem is caused by the spike term k DOi (Z DOi (0) − s i (0)) in DO (11) or the spike term (k ESOi c i )(Z ESOi (0) − s i (0)) in ESO (14). Since k i (0)(Z i (0) − s i (0)) � 0 and 0 0 _ k i (τ)(Z i − s i )dτ � 0, it is clear that the expression of D i in (38) does not contain any spike term.…”

“…To improve the robustness of chaos synchronization in allusion to uncertainties, many modern robust control theories have been applied to design synchronization controllers, including H ∞ robust control [10,11], adaptive control [12,13], neural network control [14,15], observerbased control [16,17], and sliding mode control (SMC) [18][19][20][21][22]. Among these schemes in [10][11][12][13][14][15][16][17][18][19][20][21][22], due to its advantage of low sensitivity to uncertainties and fast dynamic response, SMC is a good candidate to achieve high-precision synchronization in the presence of uncertainties. In [18,19], the authors adopted the linear sliding mode surface to design a synchronization controller for chaotic systems.…”

Event‐triggered finite‐time quantized synchronization of uncertain delayed neural networks

“…In Reference 30, using novel control algorithms, the new and effective criteria was obtained to ensure FT and fixed‐time synchronization for NNs with multi‐proportional delays. In Reference 31, the ET $$$ {H}_{\infty } $$$ control synchronization for networked switched master‐slave systems under external disturbance, stochastic attacks, and quantization was presented. In Reference 32, an observer‐based adaptive FT tracking control strategy was proposed, and the stability for presented system was formulated based on semi‐global practical FT stability theory.…”

Quantized data‐based iterative learning control under denial‐of‐service attacks

“…An event‐triggered quantized adaptive tracking control problem for strict‐feedback nonlinear systems is investigated in Reference 21. The event‐triggered control problem for a class of NCSs with external disturbances, random attacks, and quantization is studied in Reference 22. In Reference 23, a quantized state estimator is designed to compensate the control performance degradation caused by quantization errors.…”