Design of event-triggered sliding mode controller based on reaching law with time varying event generation approach

In this brief, event triggering realization of sliding mode control (SMC) based on reaching law is proposed with robust semi-global and global event property in terms of inter event execution time. A time varying event triggering scheme is considered here to determine the sampling instants, which is expected to reduce the usage of communication resources. The proposed time varying event triggering scheme guarantees zeno free execution and robust stabilization of linear-time invariant (LTI) perturbed system. In case of semi-global and global realization, it is shown that the system trajectory converges to the sliding manifold and remains with in a band thereafter even if the disturbances/uncertainties are active. The merit of this event-triggered SMC based on reaching law includes fast convergence of sliding hyperplane without excessive chattering and allows designers more freedom to select the design parameters to achieve desired steady state bound in the presence of the disturbances/uncertainties. Finally, simulation results for two cases namely semi-global and global event-triggered SMC based on reaching law are provided to show the efficacy of the proposed design scheme. (C) 2018 European Control Association. Published by Elsevier Ltd. All rights reserved.