Static output feedback LFC for semi-Markov type interconnected multi-area power systems: A non-fragile PI strategy

Abstract

This article addresses the static output feedback load frequency control (LFC) problem for semi-Markov type interconnected multi-area power systems (IMAPSs) through non-fragile proportional-integral (PI) strategy. Primarily, by roundly exploiting the dynamical properties and considering random mutations of the IMAPSs, the semi-Markov jump process (MJP) is elaborately scheduled for establishing the dynamical model with precision. Subsequently, on account of the characteristic of geographical isolation, a memory-like sampled-data LFC mechanism considering time-varying transmission delay for the semi-Markov jump IMPASs is formulated accordingly. Additionally, the non-fragile issue is explored for the PI controller gain fluctuations to meet the actual operation scenario. After that, a mode-dependent two-side polynomial-type looped Lyapunov functional is constructed for enhancing flexibility. Then, in virtue of the stochastic analysis technique, some relaxed conditions guaranteeing stochastic stability with prescribed $H_{\infty }$ performance are thereby derived in the shape of linear matrix inequalities (LMIs). Ultimately, a numerical example is carried out to validate the efficacy of the developed control methodology.