Design of Block Sparse Structured Controller for Networked Interconnected Systems with Delays

This paper presents a solution to sparse structured controller design for network-based systems subject to communication delays. A network-based interconnected system model with cardinality constraints is firstly developed. Subsequently, a stability criterion for the closed-loop system is obtained via the Lyapunov method. A mixed integer programming approach is proposed to handle the cardinality constraint, which could upper bound the number of non-zero blocks in the controller gain matrix. A block sparse structured controller is obtained by imposing sparse constraints on some decision variables. Finally, the proposed method is applied to a three-machine interconnected power system to validate its effectiveness.