Switching event‐triggered control of switched systems with actuator saturation

Considering impulse time windows and the actuator saturation, we put forward a novel aperiodic hybrid control scheme to achieve the exponential synchronization of two nonlinear dynamical systems (NDSs). Different from the existing research, the actuator saturation of two types of control signals and impulse time windows are both considered in the exponential synchronization analysis. Some sufficient conditions are found with designing the hybrid controller, and the attraction domain (AD) of the error system is also estimated. On the other hand, the conditions which can ensure the exponential synchronization between two NDSs with this hybrid control without saturation limit are also given. Finally, experimental results for the synchronization of three dimensional Hopfield‐type neural networks and the image reproduction based on the synchronization of neural networks demonstrate the feasibility of our theoretical results.

Section: Introductionmentioning

confidence: 99%

Exponential synchronization of nonlinear dynamical systems via an aperiodic hybrid control with actuator saturation and impulse time windows

Wu,

Li,

et al. 2024

“…In the meantime, the system is described by a periodic sampling system, and the sensor does not need to inspect the triggering conditions, which ensures that the lower limit of the trigger interval is strictly positive and avoids the Zeno behavior (see previous works [29,30]). The same ETM was applied in Li et al [31]; however, it required that the switching signal of the controller is exactly the same as that of the subsystem. This requirement is very difficult to meet in the actual systems.…”

Section: Introductionmentioning

confidence: 99%

Time‐regularization event‐triggered H∞ control for switched linear systems with frequent asynchronism

Wang

2023

Self Cite

This paper addresses the time‐regularization event‐triggered control problem for a class of continuous‐time switched systems with frequent asynchronism and external disturbances. In the system, both the system state and the switching information are transmitted to the controller only at the event‐triggered sampling instants, which may cause the occurrence of asynchronous switching behavior. To solve the problem, we first propose a time‐regularization event‐triggered mechanism, which not only avoids Zeno behavior efficaciously, but also allows the system to switch multiple times in the holding interval. Then, based on the time‐regularization event‐triggered mechanism, the error system is modeled as a sampled switched delay system with augmented switching signal. After that, sufficient conditions for the exponentially stability and weighted performance of the switched system under average dwell time are derived by constructing multiple switching Lyapunov functions. Finally, a circuit example is given to illustrate the effectiveness of the proposed method.

A novel saturation degree‐dependent adaptive event‐triggered control for systems with asymmetric saturation

Li,

Jiang,

Liu

2024

This paper investigates the control problem of systems with asymmetric saturation by the formulated saturation degree‐dependent event‐triggered mechanism. The subregion partition method is adopted to represent the asymmetric saturation as the symmetric saturation in each subregion. In order to further reduce the triggering number when the system is saturated and save the communication resources of the system, this paper establishes the saturation degree‐dependent adaptive event‐triggered condition. Then, the subregion‐related control law under the presented event‐triggered scheme is designed, and the asymptotic stabilization of the underlying system is realized. Moreover, an optimization algorithm is proposed to estimate the maximal domain of attraction. Finally, simulation examples are used to validate the theoretical results.