Improved fractional-order PI controller design method for frequency domain frames based on Bode graphical method
To effectively reduce the computational complexity of determining the parameters of a frac-tional-order PI controller,this paper proposes a design method based on an improved frequency-domain graphical framework,building on Bode diagram analysis.The method introduces the improved frequen-cy-domain framework into the mid-frequency range,optimizing by minimizing the triangular area of the framework.The cutoff frequency and phase crossover frequency constraints are used to determine the boundaries of the improved framework.Consider multiple constraints,Lagrange multiplier equations are employed to calculate the proportional and integral gains,yielding the optimal values within the de-fined frequency-domain framework.Simulation examples are provided to validate the feasibility and ef-fectiveness of the design approach.The results demonstrate that the proposed fractional-order PI con-troller meets system stability requirements and exhibits strong robustness.This method is simple,pre-cise,and provides a clear range for parameter selection,making it highly intuitive.
万方数据
维普
