Abstract
Recently the application of fractional order PI control has been widely researched. However, the order in PIλ controller is constant. In order to improve the dynamic performance and robustness of the second-order control system, the variable-order fractional PI controller was designed. Through the performance analysis the of fractional order PI controller with different orders, the optimal variation rules of the order was obtained. Finally, the fuzzy inference rules were established with the velocity error as the input and order as the output, and the fuzzy logic based variable-order fractional PI controller was designed. The numerical simulation results show that the proposed method has better performance than the conventional constant order fractional PI method.
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