Sampled-data synchronization of chaotic Lur’e systems via an adaptive event-triggered approach

Abstract

In this paper, based on nonuniform sampling, the master-slave synchronization in a class of Lur'e systems is studied via using the sampled outputs of error system. Different from existing results, the transmission of control signals is determined by a novel adaptive event-triggered scheme, where the triggering thresholds depend on the dynamic behaviors of controlled systems rather than the predetermined constants as some traditional ones. Through choosing two augmented Lyapunov-Krasovskii functionals (LKFs), some delay-dependent synchronization criteria are formulated and the conservatism can be effectively reduced owing to the utilization of Wirtinger-based inequalities and delay-product-type LKF terms. Especially, the existence of the controller can be easily checked since the derived conditions are presented via LMI forms. Finally, two numerical examples with comparisons and simulations are given to illustrate the proposed results.

Robust event‐triggered T–S fuzzy system with successive time‐delay signals and its application

“…Obviously, the transmission trigger times of the two event‐triggered mechanisms are listed in Table 4. One can check that the proposed ETS releases less transmitted data than those in [29]. As the state of the system converges to zero, the transmission trigger times is lower than that by the TTS.…”

“…Along these lines, compared with the method mentioned in [8, 10], the method in this paper provides better control performance. In addition, compared with the results of the proposed event‐triggered mechanism and the ETS in [29], to show the advantage of our proposed method. By designing , Fig.…”

“…On the other hand, the threshold limit of the conventional event‐triggered mechanism is likely ahead of time and has difficulty in adjustment for a variety of the thought about the system. To beat inadequacy exhibited over, the considered adaptive event‐triggered mechanism in networked systems is a current research subject (see [29, 30]). Be that as its way, the considered adaptive law has been introduced through a simple structure.…”

Adaptive input-to-state stable synchronization for uncertain time-delay Lur’e systems

“…It is often the case that one has very little information on the bound of these uncertainties, which had led in the past decades to a focus on the adaptive control scheme, with the belief that such a control scheme not only is easy to be implemented, but also can relatively smoothly and accurately track the system trajectory during normal operation [12]. For time-delay Lur'e systems, although the adaptive control approach has been considered in [13][14][15], how to use it to achieve ISS synchronization of uncertain time-delay Lur'e systems with exterior interference is still unclear and deserves further detailed investigation.…”

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.…”