Fixed-time observation and control for network systems: a distributed event-based saturation adaptive method
摘要
Considering the potential challenges of obtaining accurate state information of both the leader and individuals, arising from communication packet loss, sensor noise, and environmental uncertainties, this paper proposes a novel fixed-time adaptive observation and control method for a kind of networked systems. Firstly, a distributed adaptive event-triggered observer is developed, where the key innovation lies in employing a novel saturated adaptive technique with the power-law principles. Its strength lies in eliminating the dependency on network topology for triggering decisions, and allowing the observer’s update frequency to be adjusted by the saturation adaptive parameters. Secondly, an event-triggered adaptive observation control scheme is proposed to address the fixed-time synchronization. By incorporating an error-dependent exponential term into the control strategy, the convergence rate of the synchronization error system is significantly enhanced. Notably, the synchronization time is independent of any network parameters, indicating that the method exhibits excellent robustness against changes in network conditions. Finally, a numerical example is given to verify the proposed event-based saturation adaptive synchronization method.