Abstract
The researches on the analysis of the fractional order PI <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">λ</sup> D <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">μ</sup> such as the complex frequency domain method, plane root locus method and spatial root locus method, mostly applied on classic controlling situation, meanwhile for nonlinear system it is hard to build complete accurate mathematical model of complex systems. So in order to solve such problems, many improved self-regulating and self-adaption with PID controllers emerged. With fuzzy adaptive PID control algorithm greatly developed, in this paper we came up with a control method based on the fuzzy control fractional order PI <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">λ</sup> D <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">μ</sup> controller.
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