Stabilization of logical control networks: an event-triggered control approach

Abstract

This paper investigates the global stabilization problem of k-valued logical control networks (KVLCNs) via event-triggered control (ETC), where the control inputs only work at several certain individual states. Compared with traditional state feedback control, the designed ETC approach not only shortens the transient period of logical networks but also decreases the number of controller executions. The content of this paper is divided into two parts. In the first part, a necessary and sufficient criterion is derived for the event-triggered stabilization of KVLCNs, and a construction procedure is developed to design all timeoptimal event-triggered stabilizers. In the second part, the switching-cost-optimal event-triggered stabilizer is designed to minimize the number of controller executions. A labeled digraph is obtained based on the dynamic of the overall system. Utilizing this digraph, we formulate a universal and unified procedure called the minimal spanning in-tree algorithm to minimize the triggering event set. Furthermore, we illustrate the effectiveness of obtained results through several numerical examples.

Adaptive neural control for multiagent systems with asymmetric time‐varying state constraints and input saturation

“…In the future, in order to further reduce the communication pressure and improve the fault-tolerance ability of MASs, the fault detection technique for MASs will be considered based on event-triggered mechanism. [55][56][57][58][59] The fuzzy logic systems possess the similar approximation performance to NN, which implies that fuzzy logic systems can be used to solve the corresponding problems in our future research. [60][61][62][63][64] In addition, finite-time control can be employed due to the better robustness.…”

“…According to the simulation results, the usefulness of the presented control scheme has been verified. In the future, in order to further reduce the communication pressure and improve the fault‐tolerance ability of MASs, the fault detection technique for MASs will be considered based on event‐triggered mechanism 55-59 . The fuzzy logic systems possess the similar approximation performance to NN, which implies that fuzzy logic systems can be used to solve the corresponding problems in our future research 60-63 .…”

Boolean-network-based approach for construction of filter generators

“…By utilizing the method of STP, logical systems can be converted into their corresponding algebraic forms. Based on these, many interesting results have been found, including controllability [8,9], stability and stabilization [10][11][12][13][14][15], function perturbation [16], observability [17], disturbance decoupling [18], output tracking [19] and optimal control [20]. Additionally, the STP can be also applied in the game [21] and fault detection for logical circuits [22].…”

Event‐triggered output synchronization for nonhomogeneous agent systems with periodic denial‐of‐service attacks

“…The event‐triggered control is an effectively control approach. The event‐triggered control was applied to investigate the synchronization of nonhomogeneous agent systems without DoS attacks as in References 21‐23 and in the presence of DoS attacks in References 24‐26.…”