Question 17 1 pts Knowing the transfer function of a system is useful because: O It...
Question 11 pts x(t) is a time domain function. The laplace transform of x(t) is in what domain: s domain none of the above f domain time domain Flag this Question Question 21 pts if X(s) is the Laplace transform of x(t), then 's' is a : real number integer complex number rational number Flag this Question Question 31 pts In a unilateral Laplace transform the integral, the start time is just after origin (0+) just before origin (0-) origin...
D Question 19 1 pts When is a system whose transfer function is an improper rational function BIBO stable: Sometimes Occasionally Always Never Question 20 1 pts Response of the system in the absence of an input excitation is called: Impulse response Zero input response Limited response Step response
Question #2 (20 pts): Transfer function of a causal system is given as s²-s-6 56 + 1955 + 14954 + 60353 + 1310s2 + 1418s + 580* a) Examine the stability of the system without using the information given in (b). How many poles does it have in the right half plane if it is not stable? b) Sketch the complete graphical demonstration of this system by utilizing previously given information and the additional information given with the following items,...
A Calculator is allowed. Question 7: The following transfer function is unstable. H(s) = ! Explain why the function is unstable. Plot any existing poles and zeros on the complex (s-domain) plane. Find a feedback method (P,D, or Ior any summative combination of P, D, or I) to make the system stable. Prove it is stable mathematically.
When is a system whose transfer function is an improper rational function BIBO stable: Occasionally Sometimes Always Never Question 20 Response of the system in the absence of an input excitation is called: Step response Limited response Impulse response Zero input response
Question 11 1 pts An LTI system is BIBO stable if and only if the impulse response h(t) is: Discrete Differentiable Continuous Absolutely integrable Question 12 1 pts Frequency shift in S domain results in: None of the above Ist derivative in time domain Integral in time domain Multiplication by an exponential function (e-at) in time domain
You are given an unstable plant with a transfer function P(s) = Tote -1 R(S) Y(8) 11+ C(8) P(s) You are to design a proportional controller, C(s) = K, such that the closed-loop system is BIBO stable and meets the following performance specifications: (i) Rise time T, < 0.5 seconds (where T, = 28) (ii) Percent overshoot %OS < 50%. Do the following: (a) Sketch the region in the complex plane where you would like the poles of the closed-loop...
O 0.5 Question 10 1 pts Consider a continuous-time linear system with transfer function (). To design an equivalent digital filter with sampling period T and transfer function H(z) using the "frequency domain approach" from our class, we replace all values of s with: Oz OKT
PROBLEM 1 Consider the transfer function T(S) =s5 +2s4 + 2s3 + 4s2 + s + 2 a) Using the Routh-Hurwitz method, determine whether the system is stable. If it is not stable, how many poles are in the right-half plane? b) Using MATLAB, compute the poles of T(s) and verify the result in part a) c) Plot the unit step response and discuss the results. (Report should include: Code, Figure 1.Unit step response, answers and conclusion) PROBLEM 1 Consider...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the poles and zeros b) indicate the poles and the zeros on the s-plane indicate the region of convergence (ROC) c) write the differential equation of the system. d) determine the gain of the system at dc (ie the transfer function at w=0) e) is the system described by H(s) stable? explain f) for the system described by H(s), does the Fourier transform H(jw) exist?...