A Simple Model for the Interference Between Event-Based Control Loops Using a Shared Medium
Traditionally, control loops are closed using periodic sensing and actuation. When communication resources are scarce, however, much may be gained from transmitting only when something important has happened in the loop. This paper presents a simple model of the interference between event-based control loops caused by sharing a common medium, based on the coupled dynamics of a Markov chain representing the state of the medium, and the processes modeled as integrators disturbed by white noise. The model is simple enough to derive the stationary state distribution at low computational cost using mostly standard linear time-invariant system theory (applied in the spatial dimension), while capturing important aspects of the problem. Control laws are optimized to minimize state variance using the limited communication resources. The results are compared to the less restrictive but unrealistic case of aperiodic control, and to simulations of the system without simplifications.
- Control Engineering
49th IEEE Conference on Decision and Control