Distributed SDRE control design for a class of nonlinear interconnected dynamic systems

This paper proposes a distributed finite-horizon state-dependent Riccati equation control for nonlinear interconnected systems. More recently, distributed control architectures have been considered to achieve global performance similar to centralized control and retain the scalability advantages of decentralized control, enabling interactions between controllers for systems characterized by the interconnection of n subsystems. This work recommends two different distributed control approaches using the Lyapunov stability analysis to assure global stability in a distributed fashion. The proposed controllers are validated on two interconnected benchmarks, one three inverted pendulums and one three-machine power system with strongly nonlinear connected generators. Our results represent the efficiency and the sufficiency of the new stability conditions.