Structured Controller Design for Interconnected Systems via Nonlinear Programming

Abstract

Dear Editor, This letter deals with the structural controller design problem of interconnected systems with unknown feedback topology. Firstly, under a cardinality constraint on the directed communication links among sub-controllers, a distributed controller's feedback gain and feedback topology are incorporated in a unified co-design framework. Secondly, the cardinality constraint introduced in the distributed control is represented by a binary integer programming. To deal with the complementary constraint, a nonlinear programming (NLP) is proposed to relax the binary integer programming. Finally, incorporating the NLP into the standard distributed event-triggered control method, an algorithm is developed for interconnected systems to simultaneously design the feedback topology and controller gain.