MEC 709 Lecture Notes - Lecture 9: Exponential Decay, Step Response
Document Summary
Zero looks like a simple gain factor and does not change the relative amplitudes of the components of the response. Laplace transform of the response: derivative of the scaled version of the original response original response. As a becomes smaller, the derivative term has a greater effect (more overshoot in second-order systems ) System response with zeros the transient response: the closer the zero is to the dominant poles, the greater its effect on, as the zero moves away from the dominant poles, the response approaches that of the two-pole system. Nonminimum-phase system: if a is negative (placing the zero in the right half-plane): derivative term will be of opposite sign from the scaled response term. If the derivative term, sc(s), is larger than the scaled response, ac(s), the response will initially follow the derivative in the opposite direction from the scaled response. The residue of the exponential decay is much smaller than the amplitude of the second-order response.