Finite-Time Event-Triggered H ∞ Control via Predictive Observer for State-Dependent Switched Systems

This article addresses the asynchronous control issue for a class of switched systems with norm-bounded external disturbances within a finite time interval. Firstly, a predicted model-based observer is constructed for switched systems. In the case of updates without actual output, the output predictor is introduced to compensate for the effects of an event-triggered scheme (ETS), while at triggered instants, the predicted output is reset to the latest triggered output. Secondly, a novel state-dependent switching (SDS) rule with fixed dwell time is developed within the framework of switched systems, integrating estimation performance, system performance, and ETS-designed dynamic variables. Thirdly, a new dynamic ETS related to both the output error and the predicted error is designed to optimize network resource utilization efficiency. Due to the ETS, the asynchronous behaviour among the controller, observer and system modes arises. Then, a novel multiple Lyapunov function is proposed to effectively characterize hybrid switching dynamics with coexisting synchronous and asynchronous modes in the closed-loop switched systems. Based on this framework, a unified finite-time H_∞ stabilization criterion is established, explicitly addressing switched systems containing partially or fully unstabilizable subsystems. Further, the Zeno behaviour of the designed ETS is ruled out by proving the existence of a minimum triggered interval. Finally, two practical simulations with comparative studies are conducted to substantiate the effectiveness of the derived results.