en Robust Control Robust Control Research Paper Research Paper <span style="font-size:10.0pt"><span style="line-height:104%"><span new="" roman="" style="font-family:" times="">This paper proposes a robust H &infin; -LMI-based primary controller using the Linear Parameter Varying (LPV) modeling for an AC islanded Micro-Grid (IMG). The proposed controller can regulate the frequency and voltage of the IMG under various scenarios, such as load changes, faults, and reconfigurations. Unlike most previous studies that neglected the nonlinearity and uncertainty of the system, this paper represents the system dynamics as a polytopic LPV model in the novel primary control structure. The proposed method computes a state-feedback control by solving the corresponding Linear Matrix Inequalities (LMIs) based on H &infin; performance and stability criteria. The robust primary control is applied to a test IMG in the SIM-POWER environment of MATLAB and evaluated under different scenarios. The simulation results demonstrate the effectiveness and efficiency of the proposed method in maintaining the stability of the frequency and voltage of the IMG.</span></span></span> Robust Control, AC Islanded-Microgrid, Robust Control, Primary Control, Nonlinearity, Uncertain Parameter. 61 73 http://ijeee.iust.ac.ir/browse.php?a_code=A-10-4491-1&slc_lang=en&sid=1 Fatemeh Zare-Mirakabad fatemeh.zare@shahed.ac.ir 1800319475328460012777 1800319475328460012777 No Shahed University Mohammad Hosein Kazemi kazemi@shahed.ac.ir 1800319475328460012778 0000000153678104 Yes Shahed University Aref Doroudi doroudi@shahed.ac.ir 1800319475328460012779 1800319475328460012779 No Shahed University