Tuning of Fractional Complex Order PID Controller * * This work was supported by the Ministry of the Higher Education and Scientific Research in Tunisia.

摘要

This paper deals with a new structure of Fractional Complex Order Controller (FCOC) with the form PID x+iy , in which x and y are the real and imaginary parts of the derivative complex order, respectively. A tuning method for the Controller based on numerical optimization is presented to ensure the controlled system robustness toward gain variations and noise. This can be obtained by fulfilling five design requirements. The proposed design method is applied for the control of a Second Order Plus Time Delay resonant system. The effectiveness of the FCOC design method is checked through frequency and time domain analysis.