Admissibility analysis for networked discrete-time descriptor systems with RONs and ROUs by an arctangent adaptive event-triggering scheme

This paper studies the problem of adaptive event-triggering scheme (AETS) for networked discrete-time descriptor systems subject to randomly occurring nonlinearities (RONs) and uncertainties (ROUs). Firstly, an arctangent adaptive event-triggering scheme (AAETS) is designed to reduce the frequency of communication. This AAETS can be adjusted adaptively based on each sampling instant due to the fact that the triggering thresholds depending on continuous function are updated. Secondly, a networked time-varying delay system model is delicately designed by taking into account the network-induced delay, RONs, ROUs, and the AAETS. According to Lyapunov function method, sufficient admissible criteria to verdict admissibility and stabilization criteria to co-design the triggering matrix and the controller gain are obtained, respectively. Admissible criteria and stability criteria produce a tradeoff between the required communication resources and the desired control performance. Finally, a comparative example is provided to show the effectiveness and the advantageous performances of the designed AAETS.