Event Triggered Control of Singularly Perturbed Systems

Abstract

The advancement in network technologies during last decades has given rise newlineto a new family of control architectures, known as Networked control systems newline(NCSs). In NCSs, sensors, actuators, and controllers are connected through a newlineshared digital communication network. The constrained bandwidth of these newlinenetworks is a major challenge in implementing such systems. Issues occur newlinewhen many systems attempt to access the channel concurrently. As the transmission newlinerate rises and approaches the network bandwidth limit, the packet newlinedropouts become more frequent and time delays are longer; therefore, reducing newlinethe transmission of data over the network is of significant importance for newlinethe stability and performance of NCS. newlineEvent-triggered control (ETC) has emerged as one of the efficient alternatives newlineto reduce the bandwidth requirement and in turn save the network resources. newlineEvent-triggered control represents a new method for sampling of signals, that newlinedepends on the change in plant state to decide when to perform the control newlineand sampling tasks. Mostly in literature, the design of event-triggered control newlineis not system specific, i.e. properties of the system are not used in the newlinedesigning of ETC. In that context, Singularly perturbed systems (SPSs) are newlinesystems in which slow and fast dynamics coexist. The motion of these dynamical newlinesystems is often characterized by a small parameter multiplying the newlinehighest derivative. The system states, whose velocity is associated with the newlinesmall perturbation parameter evolve several times faster than the other system newlinestates. Thus, not all system states of a singularly perturbed system respond newlineto the input signal at an equal rate. This difference in response rates has to newlinebe explicitly addressed during control synthesis for these systems.The use of newlinea shared network in these systems further increases the intricacy and the system newlineexhibit complex behaviors resulting from the interaction of actual plant newlineand computing devices. newline