Behavioral Analysis of an Interval Type-2 Fuzzy Controller Designed with Harmony Search Enhanced with Shadowed Type-2 Fuzzy Parameter Adaptation

The challenges we face in today’s world are increasingly complex, and effectively managing uncertainty when modeling control problems can yield significant benefits. However, the complexity of these models often leads to higher computational costs. Therefore, main contribution this article is use theory shadowed type-2 fuzzy sets address search space exploration harmony algorithm by employing two alpha planes, with this, it was possible reduce cost obtain effective results. Furthermore, application approach aims find optimal parameters for membership functions a controller analyze its behavior. By adopting proposed methodology, becomes minimize costs while still achieving feasible solutions interval problems. A key aspect that symmetry considered design also good To validate effectiveness approach, extensive simulations were conducted varying levels noise introduced controller. This comprehensive analysis allowed thorough examination results obtained. findings presented, showcasing advantages methodology. incorporating into system, observed objective function, case, root mean square error (RMSE), reduced. Moreover, signal obtained presence demonstrated superior performance compared noise-free reference. In conclusion, utilizing systems, combined algorithm, offers promising solution complex carefully analyzing behavior system through simulations, evident inclusion helps improve system’s performance.