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In the context of renewable energy penetration, the microgrid-connected inverter with output Inductive Capacitive Inductive (LCL) filter has gained a lot of concern. However, the LCL-filter resonance problem poses a challenge in the design of a satisfactory controller. In this paper, the islanded operation of a hybrid microgrid-connected LCL filter is considered using a robust control strategy. The suggested control scheme consists of an \(H_{\infty }\) integral state-feedback controller (SFC)-based full-state observer. The main objective is to ensure the system’s performance in terms of disturbance rejection and reference tracking. Controller and observer design are based on the Lyapunov stability theory and Linear Matrix Inequality (LMI) optimization approach. Moreover, a hybrid islanded microgrid test system, based on MIS laboratory parameters, is established using MATLAB/Simulink environment to demonstrate the validity of our design approach. The obtained results confirm the robustness of the proposed controller.

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A Practical Design Methodology for a Robust Integral State-Feedback Controller With a Full-Order Observer, Applied to a Laboratory-Scale Islanded Hybrid Microgrid

  • 会议论文

  • 发表日期：

    2026年

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  • Omaima Smouni,
  • Meriem Nachidi Labourel,
  • Abdelhamid Rabhi

摘要

In the context of renewable energy penetration, the microgrid-connected inverter with output Inductive Capacitive Inductive (LCL) filter has gained a lot of concern. However, the LCL-filter resonance problem poses a challenge in the design of a satisfactory controller. In this paper, the islanded operation of a hybrid microgrid-connected LCL filter is considered using a robust control strategy. The suggested control scheme consists of an \(H_{\infty }\) integral state-feedback controller (SFC)-based full-state observer. The main objective is to ensure the system’s performance in terms of disturbance rejection and reference tracking. Controller and observer design are based on the Lyapunov stability theory and Linear Matrix Inequality (LMI) optimization approach. Moreover, a hybrid islanded microgrid test system, based on MIS laboratory parameters, is established using MATLAB/Simulink environment to demonstrate the validity of our design approach. The obtained results confirm the robustness of the proposed controller.