A Continuous Nonlinear Fractional-Order PI Controller for Primary Frequency Control Application

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_center" colspan="5">Performance indexes</td></tr><tr class="thead"><td class="align_left">Controller</td><td class="align_center">ISE</td><td class="align_center">ITSE</td><td class="align_center">IAE</td><td class="align_center">ITAE</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">NL-FO-PI</td><td class="align_center">0.03064</td><td class="align_center">0.7819</td><td class="align_center">0.2374</td><td class="align_center">6.205</td></tr><tr><td class="align_left">NL-PI</td><td class="align_center">0.03144</td><td class="align_center">08042</td><td class="align_center">0.2628</td><td class="align_center">6.98</td></tr><tr><td class="align_left">FO-PI</td><td class="align_center">0.0311</td><td class="align_center">0.7946</td><td class="align_center">0.2516</td><td class="align_center">6.587</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Quantitative comparison between the controllers for different performance indexes.</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: A Continuous Nonlinear Fractional-Order PI Controller for Primary Frequency Control Application 