DESIGN OF A ROBUST FUZZY POWER SYSTEM STABILIZER

M. Soliman,∗ A.-L. Elshafei,∗∗ F. Bendary,∗ and W. Mansour∗

References

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  15. [15] P. Kundur, Power system stability and control (New York:McGraw-Hill, 1994).AppendixA. Matrices of the LMI region, that is bounded byαL = −0.5, αR = −25, Θ = 168◦, are given by:Φ =⎡⎢⎢⎢⎢⎢⎢⎣1 0 0 00 −50 0 00 0 0 00 0 0 0⎤⎥⎥⎥⎥⎥⎥⎦, Ψ =⎡⎢⎢⎢⎢⎢⎢⎣1 0 0 00 −1 0 00 0 0.99452 −0.104530 0 0.10453 0.99452⎤⎥⎥⎥⎥⎥⎥⎦B. Observer and regulator gains are calculated from theoptimization problem (16) and given by:K =⎡⎢⎢⎢⎢⎢⎢⎣−177.73 −136.56 −101.49 −74.99721.675 19.823 17.554 16.845−132.91 −116.86 −99.099 −86.863929.64 926.69 737.76 1092.2−218.39 −85.966 −176.79 −130.7221.721 18.091 20.002 18.281−142.86 −100.45 −126.33 −110.62−1138.8 −3266.3 144.11 107.05⎤⎥⎥⎥⎥⎥⎥⎦,233F =⎡⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣0.4488 −230.96 4.9786 0.0163140.3222 −256.38 5.1913 0.0190550.4319 −262.86 5.0531 0.0195460.3308 −272.34 4.9689 0.0204270.8524 −184.52 4.6144 0.0122010.4481 −280.13 5.8286 0.0215830.7835 −201.40 4.5245 0.0134180.5905 −238.80 4.8093 0.017006⎤⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦

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