Adaptive fixed-time hierarchical sliding mode control for switched under-actuated systems with dead-zone constraints via event-triggered strategy

This article investigates the event-triggered-based adaptive fixed-time control problem for switched under-actuated nonlinear systems subject to dead-zone constraints. To improve the utilization of communication resources, robustness and response rate of the system under consideration, an efficient control method combining hierarchical sliding mode technique and event-triggered mechanism is proposed. On the basis of this method, a new fixed-time stability criterion is developed to ensure that the designed controller can make the considered system be fixed-time stable and particularly the settling time be independent of the initial conditions. Then, the singularity problem of the designed controller is successfully solved by employing a projection algorithm. Finally, rigorous theoretical derivations and simulation results are included to illustrate the effectiveness of the proposed method.