Course notes winter 2012 the system described by transfer function has the same three poles but no zero: The difference between the two will be the effect of the zero, which is to speed up the system response and make the overshoot larger. Trace a has to be the system with a zero, and trace b has to be transfer function , as seen in the next plot. Compare this model with the closed loop transfer function: 123 s 27. 6 s 40 s 4s 85. The difference is, doesn"t have the additional pole, nor the additional zero. It is just the sta(cid:374)dard seco(cid:374)d order (cid:373)odel. Since the third, real pole, effect on the closed loop response is to slow it down and reduce the. 8. 8. 8 example solution part 1 the closed loop transfer function for the. 2 (cid:888: (cid:887) (cid:886). (cid:888) (cid:887, (cid:887) (cid:886). (cid:888) The characteristic equation is: 2 0. 2 0 2 2 0. 2.