Stabilization of LTI Systems with Communication Constraints

Abstract

This work is aimed at exploring the interaction of communication andcontrol in systems whose sensors and actuators are distributed across ashared network. Examples of such systems include groups of autonomousvehicles, MEMS arrays and other network-controlled systems. Wegeneralize recent results concerning the stabilization of LTI systemsunder limited communication. We seek a stabilizing static outputfeedbackcontroller whose communication with the underlying plant follows a givenperiodic pattern. We present an algorithm that allows us to pass to atime-invariant formulation of the problem and use simulated annealing tosearch for stabilizing feedback gains.