MIMO PI Controllers for LTI Systems with Multiple Time Delays Based on ILMIs and Sensitivity Functions

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left" rowspan="2">Tuning method</td><td class="align_center" colspan="2">Set-point</td><td class="align_center" colspan="2">Disturbance</td></tr><tr class="thead"><td class="align_center">IAE</td><td class="align_center">TV</td><td class="align_center">IAE</td><td class="align_center">TV</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">Proposed</td><td class="align_center">20.24</td><td class="align_center">10.74</td><td class="align_center">123.08</td><td class="align_center">2.66</td></tr><tr><td class="align_left">PI</td><td class="align_center">174.42</td><td class="align_center">1.97</td><td class="align_center">224.96</td><td class="align_center">1.33</td></tr><tr><td class="align_left">PID [<a href="/journals/mpe/2017/1241545/#B35">14</a>]</td><td class="align_center">440.57</td><td class="align_center">4.93</td><td class="align_center">417.66</td><td class="align_center">1.48</td></tr><tr><td class="align_left">IMC-PI [<a href="/journals/mpe/2017/1241545/#B34">13</a>]</td><td class="align_center">3.97</td><td class="align_center">1.98</td><td class="align_center">49.05</td><td class="align_center">9.13</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Comparative analysis of the controller’s performances: the ISP reactor case study.

Mathematical Problems in Engineering

tab5

Table 5

Table 5: MIMO PI Controllers for LTI Systems with Multiple Time Delays Based on ILMIs and Sensitivity Functions 