Distributed observer and controller design for state-output decomposed systems

This paper tackles the networked distributed observer and controller design problem. The observers are designed in a distributed fashion. The computation effort due to high dimension of the whole system is then mitigated. The controllers are designed using linear quadratic regulation theory. A sufficient condition to guarantee the stability of the closed-loop system is derived. A conservative matrix norm bound condition for the controller is provided as well. Numerical simulation is given to verify the design procedure.