Abstract This paper investigates the effect of the parameters of the bilinear transformation on the performance of H∞-PSSs. The bilinear transformation is used together with H∞ optimal control to design H∞ based Power System Stabilizers (PSSs) that are robust with respect to system's uncertainty. Two cases of the bilinear transformation are investigated. Namely, the Simple Case (SC) where only one parameter (p1) of the bilinear transformation is used and the Complex Case (CC) where two parameters (p1 and p2) are used. It is shown that for the controller to perform satisfactory in the Simple Case (SC), the absolute value of p1 should be set high enough to give adequate damping without exciting the high-frequency modes. For the Complex Case (CC), a medium value of p1 together with a relatively high value of p2 should be used to achieve a good performance of the controller. In this case, a trade-off is required in setting the values of p1 and p2.
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