Observer-based event-triggered impulsive synchronization control of heterogeneous complex networks with bit-rate constraints

Abstract

This paper proposes an observer-based event-triggered impulsive control synchronization for heterogeneous complex networks under bit-rate constraints. An isolated target node and observer systems are introduced to derive synchronization and observation error dynamics. A dynamic quantization-based encoding–decoding strategy is designed for wireless communication with bit-rate constraints, and the relationship between encoded error and bit rate is established. To conserve resources, a new event-triggered mechanism based on the sampling period is proposed. This mechanism reduces unnecessary triggers while ensuring effective impulsive control through a maximum triggering interval. Identical decoder models on both sensor and controller sides eliminate additional communication for control signal transmission. An impulsive controller is designed using decoded signals at triggering moments, and a new framework for closed-loop augmented error systems is constructed. Sufficient conditions for bounded synchronization are derived using hybrid systems theory and Lyapunov stability theory. The relationship among heterogeneity, bit rate, and synchronization error is demonstrated. An optimization algorithm is proposed to minimize a weighted sum of the upper bound of the augmented errors and the maximum triggering interval. Numerical simulations verify the effectiveness of the proposed approaches.