Abstract
The paper introduces a new form of complex fractional order proportional integral derivative (CFOPID) controller of the form D. This latest derivative of has more parameters than any of the Fractional-order PID controller or conventional integer order controller. The paper demonstrates the tuning of this complex fractional order controller using Genetic Algorithm method of tuning. It further relates the results and responses got in the latter tuning method with interior point optimization tuning method (fmincon) of another research paper.