For a unity feedback system with open-loop transfer function, G(s)=... a) Find all values of α such that the system is stable for K=2. (10pts) b) If the unity feedback closes around this G(s) and an input is a unit step r(t) = lu(t), what is the steady-state error, e55 as a function of α and K? (10pts) c) For K=2 ...continues
a) Find the z-transform of the following system transfer function assuming the input is a unit staircase (i.e. zero order held). The sampling rate is T=0.2... b) Given the z-transform of a sequence, U(z)=Z{ui}... i) Find the first 4 terms of ui by long division. ii) Find the underlying signal u(t) assuming that T=1 and no ...continues
The processs of a unity-feedback control system has the transfer function 100 Gp(s) = ------------------------ s^2 + 10 s + 100 Design a series controller(a PD, PI or PID) so that the following performance specifications are satisfied Steady-state error due to a ...continues
I am completely lost with Nyquist. I am sure it's a plot of G(s), but when I put the plot in my calculator, it looks nothing like a traditional nyquist plot. I have a pole at the origin, that is not in the rhp is it? I have a zero in the rhp. So, the number of encirclements is N=#p-#z= so that's -1? There are -1 ccw encir ...continues
I'm trying to find the angles of departure and angles of arrival for an equation. In my current problem, I am looking for the angle of departure for GH=10(s+z)/s^2 (also GH(jw)=10(jw+z)/(jw^2) The angle of departure is defined as 180 degrees plus the phase angle of GH computed at the complex pole, but ifnoring the contr ...continues
Illustrate the use of the Modified Euler method by simulating two steps of the following equation... Please see attached.
Derive the controller form state space description for the following specific system, showing how state variables are allocated... Please see attached.
Given are the facts that Gc and Gp(s) are in series and Gp(s) = (K * Km) / [s[(Ls+R)(Js+b) + K^2m)]] K=5; Km=0.5; L=0.001; R=1; J=0.003; b=0.1 Using the trail and error method, tune the PI parameters so they meet these requirements: Steady state error = 0, Settling time <= 0.5s, and Overshot <=20% Please give comple ...continues
Question 6: (a) Find the (zero order hold) z-domain transfer function of the system ... (b) Find the z-transform of the sequence ... (c) Hence, find the z-transform of samples of the output of the system in (a) when excited by zero order held signals ... Please see attachment for complete question. Thank you!
Bode Plot,Time responses, Z-transforms,Euler methods
These are Multiple choice questions. Please prove your solutions analytically. Do not use any software to solve these questions. 1. Identity the transfer function corresponding to the bode plot below... Please see attached.
