CHEE 434 Study Guide - Quiz Guide: Kolmogorov Space, Step Response, Nyquist Plot

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Instructions: this is a 50 minutes examination, please write your student number instead of your name on all answer booklets and sheets submitted, please state all assumptions made, calculators are permitted, this is an open-book examination. Textbooks, course notes, assignment and midterm solu- tions are allowed: please answer all questions, there are seven (7) pages in the question booklet, good luck! 1: identify the type of lter, compute its bandwidth. For each pair of process model and controller, assess the stability using the nyquist plots provided: system 1. G0(s) = (s 1) (s + 4)(s + 4) , c(s) = (10s2 + 20s + 10) s (2) G0(s) = exp( s) (s2 + 2s + 3)(s 1) G0(s) = (s + 4) (s + 1)(s + 3) The control system is subject to an output measurement, d0(t) = k + (t) where (t) is a signal with zero mean with energy in the bandwidth bw=[0,10] rad/s.

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