Pole placement approaches for linear and fuzzy systems

The paper investigates several pole placement methods in the linear case and suggests a new pole placement method by means of fuzzy linear equations. The linear methods concern the constant real part poles, the poles places on a circle, Butterworth configurations without and with the correction of the imaginary part, the pole-zero cancellation, and the poles placed on an ellipse. Low order systems are considered. The pole placement methods are compared by the digital simulation of control systems’ behaviors with respect to the modification of the reference input. The conclusions are useful for continuous control systems, and they can be extended easily to digital control systems including quasi-continuous ones.