Impulse Elimination and Synchronization in Descriptor Multi-Agent Systems

In this work, a control methodology is proposed to address the problems of impulse elimination and leader follower state synchronization in a descriptor multi-agent system (DMAS), where each agent in the network is a descriptor system. A distributed static state feedback control protocol is proposed to achieve the control objectives. By making the closed loop DMAS impulse-free through a feedback gain matrix, it is transformed into a set of decoupled descriptor systems using the property of network graph Laplacian matrix, and then, the synchronization problem is transformed into stabilization problem of a set of ordinary state space systems. Since we have used only orthogonal matrices for system transformations, the proposed algorithm is numerically efficient. The effectiveness of the proposed methodology is demonstrated with an example.