H∞ control for networked control systems with an adaptive event-triggered scheme under stochastic sampling

This paper investigates the adaptive-event-triggered-control (AETC) for networked control systems (NCSs). Firstly, a novel adaptive event-triggered scheme (AETS) under stochastic sampling is proposed to reduce the unnecessary data communication between sensor and controller, to adapt the variation of the plant states, and to improve the flexibility of selection of sampling period. Secondly, in the framework of time-delay systems, the closed-loop control system with an AETS under stochastic sampling is modelled as an interval time-varying delayed system. Then, by employing Lyapunov stability theory, some conditions are obtained to determine that closed-loop control system is stochastically asymptotically stable with $H_{\infty}$ disturbance attenuation performance and to carry out the co-design of parameter matrices of AETS and controller. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed scheme.