A novel intermittent dynamic event-triggered control is proposed to investigate the exponential synchronization in mean square (ESMS) of stochastic complex networks (SCNs). In contrast to existing literature, the proposed intermittent control is based on dynamic event-triggering instead of static time-triggering during the control interval. Meanwhile, the number of event triggers can be reduced by introducing an exponential function. Moreover, for each sample path solution of SCNs, the existence of a minimum positive inter-event time is guaranteed in all the event-generators proposed in this paper. In addition, based on the Lyapunov method and the graph theory, synchronization criteria for the ESMS of SCNs under the intermittent dynamic event-triggered control are established. Finally, theoretical results are applied to islanded microgrid systems and simulations are given to verify the effectiveness of the results.

A new dynamic event-triggered control (ETC) scheme is proposed to address the practical fixed-time consensus (FTC) problem for multi-agent systems (MASs) with nonlinear dynamics. For the dynamic ETC scheme, the dynamic parameters are taken into account to reduce the number of triggering instants and save limited resources, and the triggering condition is based on a new dynamic variable that is obtained online rather than a constant. Moreover, the consensus of the nonlinear MASs can be obtained in a finite time for any initial conditions by the above-mentioned protocol. Finally, an example of Chua’s circuit is given to demonstrate the feasibility of the proposed control algorithms.

This study proposes a novel dynamic event-triggered impulsive control (ETIC) scheme to study the exponential stabilization of general stochastic nonlinear systems, where the impulsive sequence is determined by a dynamic event-triggered mechanism. The dynamic ETIC can effectively reduce controller updates and significantly save energy under the same decay rate compared to traditional static event-triggered impulsive generators. Additionally, there is a guaranteed positive minimum inter-event time for each sample path solution of systems. Furthermore, the proposed dynamic ETIC scheme is employed to stabilize stochastic complex networks based on the graph theory and the Lyapunov method. Finally, we provide two illustrative examples to verify the effectiveness and correctness of the proposed dynamic ETIC scheme.

In this paper, an aperiodically intermittent event-based control strategy is developed to investigate the practical fixed-time consensus (FTC) tracking problem of nonlinear multi-agent systems (MASs). Different from the traditional event-based scheme, we incorporate the event-based scheme into the intermittent control mechanism, and the aperiodically intermittent event-based mechanism is developed, which can significantly save resources, particularly in terms of reducing the energy consumption of communication. Additionally, our proposed mechanism enables practical intermittent event-based FTC tracking for a directed graph, while eliminating the dependence on initial states for convergence time estimation. Moreover, the measurement error and intermittent event-based controller are constructed based on the hyperbolic tangent function, then the non-differentiable problem and Zeno behavior can be avoided. Furthermore, an improved triggering mechanism of the event-based scheme is designed to avoid continuous monitoring in control intervals. Hence, resource consumption can be further reduced. Finally, the multiple ground vehicles and Chua’s circuit are considered in simulation examples to verify the effectiveness of theoretical results. Note to Practitioners —This paper addresses the FTC tracking problem of MASs via intermittent event-based control for a directed graph, which can be applied to multiple ground vehicles and Chua’s circuit system. Unlike the asymptotic and finite-time stability results, the upper bound of the convergence time can be estimated, which is unrelated to the initial states and can better satisfy the application requirements. Considering the limitation of communication bandwidth and saving resources, we take the event-based scheme into the intermittent control mechanism, and a new aperiodic intermittent event-based controller is designed under the fixed-time convergence. Contrary to the traditional fixed-time control strategies via intermittent control or event-based control, the proposed algorithms in this study can effectively reduce the update frequency of the controller and significantly save energy under intermittent monitoring, which is more friendly for control engineers. The feasibility of the obtained results is demonstrated by examples of multiple ground vehicles and Chua’s circuit. Potential applications of the proposed control algorithms include smart grid, cooperative search and exploration.

This paper investigates the exponential synchronization (ES) problem for complex networks (CNs) under an intermittent adaptive event-triggered control (IAE-TC) strategy which is based on dynamic IAE-TC during the control activation intervals. In this control mechanism, the intermittent controller has adaptability to the evolution results of the controlled networks and is activated only when the event-triggered condition is violated. Then, by employing this kind of control strategy and the Lyapunov method, some sufficient conditions are proposed to achieve the ES of CNs and it is proven that the Zeno behavior can be eliminated. Besides, an application about the islanded microgrid system and some numerical simulations are provided to verify the effectiveness of the derived theoretical results. Moreover, in the numerical simulations, it is shown that the dynamic IAE-TC strategy can decrease the number of event-triggered instants more availably than the static one.

In this study, an event-based control strategy is proposed for second-order disturbed multi-agent systems (MASs) to achieve predefined-time practical consensus. In comparison to the finite/fixed-time control, the predefined-time consensus (PTC) control can be achieved in a completely pre-specified time. For the predefined-time second-order practical consensus, the global information of the system is not required to calcu-late the estimate of the convergence time, including the initial states and communication topology. In addition, the singular problem and the communication loop problem are also avoided. Moreover, an event-based control strategy is developed to obtain the predefined-time second-order practical consensus, which can effectively reduce the operating frequency and wear of actuator under the predefined-time convergence. Furthermore, the control input and the measurement error are designed by utilizing the hyperbolic tangent function, then the non-differential problem and Zeno behavior can be excluded. Finally, an example of connected automated vehicles is given to validate the effectiveness of our results.