Robust decentralized optimal stabilizability of continuous time uncertain interconnected systems: Application to large scale power system

Abstract

This article introduces a new design of a decentralized robust optimal feedback controller for a class of large‐scale systems using the modified algebraic Riccati equations. The studied class of large‐scale systems is characterized by structured uncertainties that are bounded. Our main contribution in this work is the use of the Lyapunov direct method for the stability analysis, associated with a quadratic function, in order to determine a new sufficient condition to guarantee the global asymptotic stability of the class of the studied uncertain interconnected systems. The proposed control approach is then implemented on a large‐scale power systems composed of three interconnected generators. Simulation results show that the proposed robust optimal controller is quite effective and has an outstanding performance.