A generalized novel framework for optimal sensor-controller connection design to guarantee a stable cyber physical smart grid

Limited availability of resources increases the importance of decentralized control through optimal networking of sensors and controllers in practical MIMO systems. Design of this network entails rigorous consideration of constraints in sensors, communication relays as well as controllers. Given that each of these elements has different capacity, a framework for optimal allocation of communication resources for enhanced system performance is necessary. In this paper, these two challenges have been incorporated to find out the set of optimal possible routes from sensors to controllers while ensuring stability. The major contribution of this paper is the development of a generalized algorithm to find optimal combination of sensors and controllers to be connected so as to make the system highly stable. The proposed algorithm minimizes a suitable cost or enhances reliability while guaranteeing stability using Lyapunov stability theory and linear matrix inequalities (LMI). The efficacy of the algorithm has been demonstrated through application on a cyber physical smart grid system. The multi-cast sensor - controller routing for decentralized voltage control in a 4-bus smart-grid system operating in islanded mode has been successfully simulated in MATLAB environment.