Network Based Speed Synchronization Control in the Brush DC Motors Via LQR and Multi-agent Consensus Scheme

In the presented paper, an innovative method to address the problem of synchronous speed in the network connected DC motors is presented by utilizing the linear quadratic regulator control along with the consensus algorithm of the leader following multi-agent system (MAS). From MAS perspective, each chopper fed DC motor is considered as single agent connected through fixed and undirected network. In this study, common lyapunov function is used to ensure switch system stability in such a way that if the \(\mathscr{i}\)th agent is controllable and observable, then all the agents in the multi-motor system network can reach the consensus i.e. synchronous speed. To validate the proposed method, simulation results are presented using MATLAB by considering the application of the load on the motors and without load too.