Design of fractional order controller for undamped control system

Abstract

This paper deals with design of fractional order controller (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> ) for undamped control system, where order of integrator and derivative are fractional. A more robust and optimal controller design can be achieved by using fractional order controller because there are two more parameters compare with classical PID controller. For tuning of fractional order controller, optimization method called nelder mead is used. Simulation result shows that fractional order controller can achieve better result compare with classical PID controller.