Suboptimal Stabilization of Interconnected Nonlinear Systems Based on Decentralized Finite-SDRE Method

Abstract

This paper studies the problem of Decentralized Finite-state-dependent Riccati equation (DF -SDRE) approach for interconnected nonlinear systems. To remedy the problem of persistent stability in other works, we based our contribution on the foundations of the Lyapunov theory. It allows developing a new practical condition to prove the overall asymptotic stability of the systems under study. We take a simulation of this new control structure on a numerical example. Our results illustrate the effectiveness and merits of the proposed approach.