Decentralized optimal control for nonlinear interconnected dynamical systems with fixed final time using SDRE approach

This paper presents a new approach to assure the decentralized horizon optimal control of interconnected non-linear systems with fixed final time based on the Decentralized Finite-State Dependent Riccati Equation (DF-SDRE). We have also developed a new sufficient condition to ensure the stability of the studied system using the Lyapunov theory. A simulation of this new control method on a numerical interconnected system demonstrated its efficiency and the sufficiency of the new stability condition.