Robust IMC for Time Delay Attack Compensation of Renewable Supported Power System
Pawan Kumar Pathak, Anil Kumar Yadav, Innocent Kamwa
Abstract
This study presents the design of a robust control strategy utilizing an internal model control (IMC)-based proportional integral–one plus derivative with filter (PI-(1+DF)) controller to mitigate the impact of time-delay attacks (TDAs) on renewable-integrated power system (PS). Before implementing mitigation, an adaptive recursive least square filter with a forgetting factor (ARLS-FF) is employed as an online detection mechanism for TDAs. The design methodology incorporates Kharitonov’s stability theorem to identify the worst-case plant, for which the proposed controller parameters are obtained using the IMC framework. A critical feature of IMC structure is the filter coefficient (μ), which is determined based on the maximum inverse sensitivity (<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">M<sub>T</sub></i>) and the characteristics of considered TDA, underscoring the proposed control scheme’s enhanced efficacy. Stability under time-varying attacks is rigorously analyzed through the Lyapunov-Krasovskii function (LKF) and linear matrix inequalities (LMIs) based approach with vivid robustness assessment ensuring resilience to parametric uncertainties. Finally, benchmarking on the IEEE-39 and IEEE-118 bus systems validates the proposed controller’s superiority on large-scale and realistic interconnected PSs.