Question

The output response, ?(?) of a feedback control system is given
by:

?(?) = (? / ?+? ) [?−?^−(?+?)?], where ? is a constant.

Determine:

a) The value of ?(3), taking ?=5. Give your answer accurate to
2d.p.

b) The inverse function ?−1(?), where ? is a constant.

Answer #1

a)

**when k=5**

**correcting to 2 d.p,**

** **

b)

Let

taking log on both sides,

where k is a constant and

Consider an LTI system whose frequency response is undesirable;
the distorting system function is given as:
Hdz=(1-0.8ej0.4πz-1)(1-0.8e-j0.4πz-1)(1-1.5ej0.6πz-1)(1-1.5e-j0.6πz-1)
Assume the distorting function is both causal and stable. Design
and examine compensation system
Hc(z) such that when a signal
sn is transmitted through this communication
channel then perfect compensation is achieved i.e.
scn=sn.
b) Determine the
impulse response h[n] by using the inverse Z
transform.
Hz=log1+az-1+2Z-5,
z>a
c) For what value of
a will be the impulse response both
stable and causal?...

Objectives:
Model a feedback position control system with Multisim.
Study the behavior of the system as parameters are adjusted for
different types of response.
Design Requirements:
A closed-loop control system is designed to allow an operator to
set a reference angle and the
inaccessible controlled element should turn by the
same angle. A block diagram of the model is shown below. The gain
in the feedback path is −1, and this forces to reach a final
steady-state value equal to...

A) Can P-controlled firs order unity feedback system show
oscillatory response to a step input? Explain your reasoning the
possible values the poles can have.
B) Now assume the system is not unity feedback. Consider a 1st
order sensor transfer function at least two times faster than the
original system. If this system is P-controlled, can it exhibit
oscillatory response to a step input? Explain your reasoning
Solve urgent

A linear time invariant system has an impulse response given by
ℎ[?] = 2(−0.5) ? ?[?] − 3(0.5) 2? ?[?] where u[n] is the unit step
function.
a) Find the z-domain transfer function ?(?).
b) Draw pole-zero plot of the system and indicate the region of
convergence.
c) Is the system stable? Explain.
d) Is the system causal? Explain.
e) Find the unit step response ?[?] of the system, that is, the
response to the unit step input.
f) Provide...

For the LTI system described by the following system functions,
determine (i) the impulse response (ii) the difference equation
representation (iii) the pole-zero plot, and (iv) the steady state
output y(n) if the input is x[n] = 3cos(πn/3)u[n].
a. H(z) = (z+1)/(z-0.5), causal system (Hint: you need to
express H(z) in z-1 to find the difference equation )
b. H(z) = (1 + z-1+ z-2)/(1-1.7z-1+0.6z-2), stable system
c. Is the system given in (a) stable? Is the system given in...

Using the following code:
% Ex 6.4 First-order step and impulse response for two time
constants
%
clear all; close all;
t = 0:.1:100; % Time vector
subplot(1,2,1);
x = 250*exp(-0.05*t);
plot(t,x,'k');
xlabel('Time (hrs)','FontSize',14); ylabel('P_A
(mmHg)','FontSize',14);
title('Impulse Response','FontSize',14);
subplot(1,2,2);
x = 20*(1-exp(-0.05*t));
plot(t,x,'k');
xlabel('Time (hrs)','FontSize',14); ylabel('P_A
(mmHg)','FontSize',14);
title('Step Response','FontSize',14);
ANSWER:
The response of a 1st order linear body fluid balance
system to step function (L m (t) = 1/s,
Eqn. 6.9/p226) and impulse function (L d (t) = 1,...

Find the pole and zero values for the system whose input-output
relation is given below and show them in the z plane. Also
calculate the impulse response of this system.
y[n-1] - (10/3)y[n] + y[n+1] = x[n]

Suppose there is a market with a big firm and many small
price-taking firms (DFCF). Given that the inverse market demand
function is ?=100−??p=100−Qd, the inverse supply function for small
firms is ?=70+???p=70+Qcf and the marginal cost function of the
dominant firm is ??=10+1/4⋅???MC=10+1/4⋅qdf. Calculate the
equilibrium output of the dominant firm. Round your answer to the
first decimal place.

Decide whether each of these statements is True (T) or False
(F). Negative feedback with a control system is when: (i) The fed
back signal is added to the input signal. (ii) The fed back signal
is a measure of the output value of the control system. 1. (i) T
(ii) T 2. (i) T (ii) F 3. (i) F (ii) T 4. (i) F (ii) F

Using interval notation, determine the largest domain over which
the given function is one‑to‑one. Then, provide the equation for
the inverse of the function that is restricted to that domain.
If two equally large domains exist over which the given function
is one‑to‑one, you may use either domain. However, be certain that
the equation for the inverse function you submit is appropriate for
the particular domain you choose.
f(x)=10−x
(Give your answer as an interval in the form (∗,∗).
Use...

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