Stability and Stabilization for T–S Fuzzy Load Frequency Control Power System With Energy Storage System
Jin Yang, Qishui Zhong, Kaibo Shi, Yongbin Yu, Shouming Zhong
Abstract
This article investigates the stability and stabilization problem for delay-dependent Takagi–Sugeno (T–S) fuzzy load-frequency control (LFC) power system with energy storage system (ESS). First, a unified T–S fuzzy LFC model is constructed for power system with ESS by further analyzing the nonlinear characteristics existing in turbine and governor dynamics. Second, a fuzzy proportional-integral control strategy is proposed to stabilize the T–S fuzzy power system. Then, based on existing approaches to handle quadratic function with respect to the time-varying delay, an improved quadratic function negative-determination lemma is proposed to achieve larger upper bound of time delay. Furthermore, delay-dependent stability criteria with less conservatism are established by means of Lyapunov stability theorem. Finally, some contrast illustrative examples are given to verify the advantage of the proposed methods.