Event-triggered sliding mode control (SMC) achieves robust performance in the presence of external disturbances. However, this triggering scheme for SMC does not have a global property even for linear time-invariant systems. Here, “global” means that the triggering scheme ensures the stability of the system globally in the state space. Therefore, in this brief, a global event-triggering realization of SMC is proposed. In this proposed scheme, it is established that the system trajectory is attracted toward the sliding manifold and remains within a band thereafter in the presence of uncertainties. The simulation result is given to show the effectiveness of the result.
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Behera et al. (2016) studied this question.
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