Optimal H2 Output-Feedback Control of Sampled Systems

This paper addresses the problem of output feedback control with limited data-rate constraints. These communication constraints may affect the transmission of control signals or measurements, giving rise to three different structures: LSRA (local sensor - remote actuator), RSLA (remote sensor - local actuator) and RSRA (remote sensor - remote actuator). The interconnection between plant and controller is a Hybrid System whose stability and H2 performance can be determined in terms of necessary and sufficient Linear Matrix Inequalities. However, for the design of the appropriate feedback gains, those conditions become non-convex and we propose an approach to obtain suboptimal solutions based on a Cone Complementarity algorithm. Numerical examples are included.