Event-triggered control for a class of nonlinear systems with random reset controllers

Abstract

By taking into account a communication strategy in the state-feedback control law, this paper considers the stability of a class of nonlinear systems, where the controller contains a reset variable satisfying certain reset rule and the reset values are driven by random processes. Randomness enters exclusively through the reset of the controller in terms of certain forced reset condition, yet the framework covers forced and spontaneous transitions through the communication strategy composed of the Zeno-free event-triggered strategy (ETS) and the random reset rule of the reset controller variable. A threshold-based forced ETS is designed depending on system states and the random reset variable, and a clock-based spontaneous ETS is also designed neither depending on system states directly nor depending on the random reset variable. The Lyapunov–Foster conditions ensure the feasibility of the designed communication strategy, which is verified via a benchmark case for the attitude tracking control of a miniature quadrotor prototype.