Accurate Decentralized H∞ Control for a Class of Generalized Power Systems

Lina Zhao12, Zhanzhi Qiu13, Zhichao Xu2, Chao Song2

1School of Mechanical Engineering, Dalian Jiaotong University, Dalian, 116052, China

2School of Electrical Engineering, University of Science and Technology, Dalian, 116052, China

3College of Software, Dalian Jiaotong University, Dalian, 116028, China

Abstract: Aiming at the problem that it is difficult to control the system stability when the traditional control-ler method of centralized control is applied to the large-scale system, the accurate decentralized H∞ controller for a class of generalized power systems is studied. The mathematical model of generalized power system was established, the stability of the system was analyzed, the dimensionality reduction observer was designed, and the conditional inequality was solved by Lyapunov equation and Riccati equation. Based on H∞ loop forming and combined with decentralized control strategy, the design of an accurate decentralized H∞ controller is completed. By comparing the simulation experiments, it is verified that the power system equipped with an accurate decentralized H∞ controller can respond quickly to interference, that is, the proposed controller is more robust.

Keywords: Generalized power system; Observer; Accurate decentralized H∞ control; Lyapunov; Riccati