Decentralized Connective Stabilization of Complex Large-Scale Systems with Expanding Construction Employing Reduced-order Observers Dedicated to Prof. Dragislav D. Siljak, the grandmaster of complex large-scale systems

Abstract

A decentralized connective stabilization control problem employing reduced-order observers is solved for complexity large-scale systems with expanding construction. Without changing the original decentralized control laws, a decentralized controller is designed for the resulting expanded system so that the new subsystem added to the original one and the expanding system are robustly connective stable. Furthermore the sufficient condition is derived by using Lyapunov theory and LMI approach. Finally, the proposed method is applied to the AGC design of an expanding power system. The simulation results show both the feasibility and the effectiveness of the proposed decentralized control design.