ELE 302 Lecture Notes - Lecture 38: Damping Ratio, Settling Time, Matlab
19 Oct 2017
School
Department
Course
Professor
Document Summary
The following more detailed answers will help you understand better the properties of the pid controllers in these two examples. The conjugate poles were at: 4 j 5. 46. The damping ratio was 0. 59, as required, and the frequency = 6. 77 rad/seconds. As expected, the stepeval check confirms that the specs were met: We can identify the value of integral controller gain by looking up the numerator expression in the derived transfer function: 40. 78 s k . The larger the integral gain is, the stronger integral action is. Control reduces gain margin, hence for the same value of proportional gain (here, k = 40. 78), the system will be more oscillatory. =0. 3, will correspond to the least oscillatory trace, trace # 3, and the largest. Integral gain, k =2, will correspond to the most oscillatory trace, trace # 1. Which integrator gain value, and which transfer function, result in a response that meets the transient specifications from question 1, i. e. po =
