Input-to-State Stabilization of Nonlinear Systems via Event-Triggered Impulsive Control

Abstract

In this work, an event-triggered impulsive control (ETIC) method is proposed to address the input-to-state stabilization (ISS) issue for a class of nonlinear systems under external disturbance. Different from many existing impulsive controllers usually with fixed impulse instants, we design a novel one which is event-triggered and multimodule constrained. Based on that, we establish some ISS criteria for the considered system with and without data dropouts. The presented event-triggered control method can save the communication resources and avoid the Zeno behaviors. Finally, an example with simulations results is provided to illustrate the validity of the method.INDEX TERMS Impulsive control, event-triggered control, input-to-state stabilization, multimodule impulse, data dropouts.MENGLONG CAO received the B.S. degree in manufacturing process automation and the M.S. degree in control theory and control engineering from the

Stabilization of genetic regulatory networks with time‐varying delays via event‐triggered impulsive control

“…Recently, event-triggered control strategies have been investigated by some scholars; see, for example, [17,36,37,[39][40][41][42][43]. In event-triggered control, the measurement error plays an important role in the design of event-triggered condition.…”

“…Event-triggered impulsive control (ETIC) combines the advantages of the both. Recently, some results for ETIC methods have been obtained, such as quasi-synchronization of memristive neural networks with time-varying delays [17], input-to-state stability of nonlinear systems [39,40], leader-following consensus of multi-agent systems [41], and exponential stability of nonlinear delay systems [42]. However, to the best of our knowledge, ETIC of GRNs hasn't been investigated yet.…”

Stochastic Exponential Stabilization for Markov Jump Neural Networks with Time-varying Delays via Adaptive Event-Triggered Impulsive Control

“…Compared with the common impulsive control, EIC scheme may avoid some undesirable network behaviors, such as some "unnecessary" data are sent frequently, and the network resources are excessively used to some extent, especially in the case that the networks resources are limited [24]. erefore, EIC scheme has attracted much more attention in many different fields, multiagent systems [25], nonlinear systems [26,27], neural networks [28,29], and so on [30,31]. It should be pointed out that there exist some disadvantages in the above EIC schemes in [25][26][27][28][29][30][31].…”

“…erefore, EIC scheme has attracted much more attention in many different fields, multiagent systems [25], nonlinear systems [26,27], neural networks [28,29], and so on [30,31]. It should be pointed out that there exist some disadvantages in the above EIC schemes in [25][26][27][28][29][30][31]. For example, the supervising time of sensors is in the mean of continuous time, which implies that the sensors are required to monitor the system state all the time [25,30,31], but it is not necessary because the worst scenario rarely happens.…”