Performance oriented triggering mechanisms with guaranteed traffic characterization for linear discrete-time systems

This paper is concerned with transmission reduction in linear discrete-time Networked Control Systems with computational capabilities at the sensor only. A triggering mechanism is derived to reduce the number of transmissions while being oriented at the control performance, measured by an infinite horizon linear quadratic cost functional. It is shown how trigger functions can be designed and parametrized such that an a priori demanded performance bound will not be violated. Furthermore the general approach is used to derive a triggering mechanism with guaranteed characterization of the resulting network traffic. Therefore a model for network traffic, known from traffic shaping in communication networks, is presented and a corresponding trigger function is designed. All resulting mechanisms are evaluated in a numerical example.