Sampled-data control under time-varying delays: a robust approach for high-renewable smart grids

基于采样数据、时变延迟的控制:一种适用于高可再生能源智能电网的稳健方法

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Abstract

The increasing reliance on inverter-based renewable energy sources in smart grids makes closed-loop stability highly sensitive to communication-induced uncertainties, including time-varying delays, sampling jitter, and packet loss. Conventional sampled-data and delay-dependent controllers typically address these impairments in isolation or rely on conservative worst-case designs, limiting their effectiveness under dynamically changing communication quality. This paper proposes a robust adaptive sampled-data control framework that explicitly links communication degradation to control-layer adaptation while preserving tractable stability guarantees. A bounded delay–jitter intensity index, [Formula: see text], is introduced as an online-measurable proxy for communication quality and is used to schedule the feedback gain in real time. Stability is rigorously certified using a delay-weighted Lyapunov–Krasovskii functional and affine Linear Matrix Inequality (LMI) conditions verified at the admissible uncertainty endpoints, ensuring exponential stability under the combined effects of delay, jitter, and packet loss. The proposed approach is validated on a hybrid renewable microgrid with inverter-based distributed energy resources under stochastic communication impairments. Across multiple scenarios—including bounded delay, high jitter, and 10% packet loss–the adaptive controller reduces settling time by up to 33%, overshoot by 52%, and control-related energy cost by 40% compared to fixed-gain and worst-case robust baselines. In addition, cyber-aware operational reliability metrics confirm consistent preservation of admissible operating margins under degraded communication conditions. These results position the proposed method as a stability-certified control-layer complement to cyber-resilient and data-driven smart grid architectures, enabling reliable operation of high-renewable grids under realistic communication constraints.

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