Model-based event-triggered control of singularly perturbed system with dual event-triggering mechanism

In this article, a new dual event-triggering mechanism is proposed to implement a distributed model-based event-triggered control for a singularly perturbed system (SPS) having structured state space uncertainty. The proposed approach significantly reduces the amount of necessary information exchanged to control the system. Dual event-triggering mechanism allows the measurements of slow and fast states to be transmitted asynchronously at different rates which is more effective due to the two time-scale nature of SPSs. Approximate slow and fast systems of the nominal plant are used as the model to reduce the computational demand. The proposed control strategy guarantees that the system states converge to an adjustable region around the equilibrium point and the inter-event intervals are lower-bounded by a positive constant. A numerical simulation example is used to illustrate the theoretical results of the article.