Fuzzy Self-adaptive Fractional Order PI^λD^μ Controller for Fractional Order Plant

The numerical evaluation method of fuzzy self-adaptive fractional order PI^λD^μ controller for fractional order plant was presented by numerical solution of fractional order equation.It was difficult to realize the fuzzification of fractional order closed loop control systems.Therefore,the closed loop expression of fractional order control system was constructed by fractional order PI^λD^μ controller and fractional order plant in the time domain.Then,by the numerical solution of fractional order equation and fuzzy rules,the realized method of fuzzy self-adaptive fractional order PI^λD^μ controller was obtained.Lastly,the performance of control system was analyzed for the fractional order plant by fuzzy self-adaptive fractional order PI^λD^μ controller.Result shows that the fuzzy self-adaptive fractional order PI^λD^μ controller demonstrates the better performance compared with fractional order PI^λD^μ controller and classical PID controller.