Optimal Fuzzy Proportional-Integral-Derivative Control for a Class of Fourth-Order Nonlinear Systems using Imperialist Competitive Algorithms

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Parameters</td><td class="align_center">Value</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left"><i>M</i></td><td class="align_center">0.1 kg</td></tr><tr><td class="align_left"><i>L</i></td><td class="align_center">0.5 m</td></tr><tr><td class="align_left"><i>M</i></td><td class="align_center">1 kg</td></tr><tr><td class="align_left"><i>G</i></td><td class="align_center">9.8 m/s<sup>2</sup></td></tr><tr><td class="align_left"><i>d </i><sub>max</sub></td><td class="align_center">0</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Specifications of the cart-pole system.</div>

Complexity

tab5

Table 5

Table 5: Optimal Fuzzy Proportional-Integral-Derivative Control for a Class of Fourth-Order Nonlinear Systems using Imperialist Competitive Algorithms 

Table 5 | Optimal Fuzzy Proportional-Integral-Derivative Control for a Class of Fourth-Order Nonlinear Systems using Imperialist Competitive Algorithms 