Joint identification of system parameters and packet loss rate for FIR systems with event-triggered communication under communication constraints

This paper investigates joint estimation of the system parameters and packet loss rate for finite impulse response (FIR) systems with binary-valued observations under event-triggered communication and packet loss. To address the trade-off between identifying system parameters, unknown packet loss rate and minimizing communication cost, switching difference-driven communication mechanism is proposed, where the data transmission switches between two strategies. One mode maintains continuous communication to estimate the unknown packet loss rate, while the other follows the difference-driven communication rule to reduce communication cost. Based on this, a joint compensation difference-driven algorithm is developed to jointly estimate the system parameters and the packet loss rate, which is proved to achieve almost sure convergence and asymptotic normality. Besides, the communication rate of the proposed algorithm is characterized. An optimization strategy for data transmission is further formulated to minimize the communication rate while ensuring convergence performance, yielding an optimal rule for selecting transmitted data for packet loss rate estimation. This provides a practical guideline for balancing estimation performance and communication cost in networked systems. Numerical simulations are illustrated to show the theoretical results.