Problem #3 a) Determine if the next second order system is oscillating, low damped, critically damped...
Sketch a typical Bode amplitude plot for an underdamped, overdamped, and critically damped 2nd order system. Label the range of the plot that might be considered a good response, i.e. the bandwidth and draw all three graphs on same plot.
Y(s) 4 3. Consider a second order system_ and undamped natural frequency. Is the system underdamped, overdamped or critically damped? [5pts] What are the damping ratio U(s) s2+3s +4
For the system shown below, find the followings; (a) Make an accurate plot of the root locus (b) The value of K that gives a stable system with critically damped second-order poles (c ) The value of K that gives a marginally stable sytems Cs) (s-20s- I) 0.5 The characteristic equation (denominator of the closed-loop trans fer function set equal to zero) is given by For the system shown below, find the followings; (a) Make an accurate plot of the...
Do only parts C and D 1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
QUESTION 3 .1 List the two parameters of the second order system that helps to analyse the system perlormance 3.2 Parameters of a transfer function for a second order system are used to categorise the transfer function. Use the following transfer functions to categorise whether the system is underdamped, critically-damped or overdamped: a) G(s) 25/s+10st25 b) G(s) 36S-10s+36 c) G(s) 16/S+10s+16
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
Question 7 The type of the following second order system is: G(s) R(s) C(s) 2+6s+ 9 O Undamped Critically damped Overdamped OUnderdamped II OOOO
Problem1 The response of an underdamped second order system to a step input can be expressed as a) Plot the system's response and from this response, explain how you would determine the rise time and settling time of the system (define these terms) b) If the experimentally observed damped period of oscillation of the system is 0.577ms and, from a logarithmic decrement analysis, the damping ratio is found to be is the damped circular frequency of the system? the natural...
The unit step response of a second order system is 2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The damping ratio is iii) The impulse response is 2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The damping ratio is iii) The impulse response is