Input‐based event‐triggered control of a discrete‐time singularly perturbed system under a resource constrained environment

Abstract

This paper proposes an input‐based event‐triggered mechanism for a network‐controlled discrete‐time singularly perturbed system, where the latest measurements are transmitted when a predefined condition is satisfied on the input. The significant contribution of the proposed work is the separation of control updates for slow and fast dynamics such that the proposed event‐triggered mechanism updates and broadcasts the current measurements of slow and fast dynamics in their respective time scales and reduces the usage of network resources. Further, the proposed input‐based event‐triggered mechanism avoids redundant updates of the control input and reduces actuation and resource utilization in some instances. Furthermore, the ultimate boundedness of the system states is established. The simulation uses a quarter‐car suspension system to demonstrate the proposed theory.