In this paper, the design of fractional-order PID controller is considered in order to minimize certain performance indices such as integral absolute error, integral square error and integral time absolute error. The design-construction leads to a hi

The elapsed time of Nelder and Mead simplex method seems to be larger than Hooke and Jeeves method but, it reached the solution in just 2 iterations which is remarkably less than the previous method. From Tables 1 and 2 it can be said that the optimi