Abstract: The non minimum phase systems are difficult to control because of RHP zero. This paper the robust controllers are designed for non-minimum phase systems based on algebraic approach and pole placement approach. The controller coefficients are calculated from general solutions of Diophantine equations. The robustness of the controller are verified in simulation in the mat lab environment to show the effectiveness of these designed controllers rejecting disturbances and also in alternating the noise characteristics. Time domain and frequency domain simulations are performed on the non-minimum phase systems.

Keywords: Algebraic approach, robust control, Non-minimum phases zeros, pid controllers, Pole placement method.