Question: Consider a closed loop system having the forward path transfer function (G(s)=(s+1)^{-1}) and the feedback path transfer function (H(s)=frac{2}{s}). Find its output (c(t)) in BPF

Consider a closed loop system having the forward path transfer function $G(s)=(s+1)^{-1}$ and the feedback path transfer function $H(s)=\frac{2}{s}$. Find its output $c(t)$ in BPF domain for a step input $u(t)$ using the convolution matrix. Consider $m=4$ and $T=1 \mathrm{~s}$. Finally, compare the result graphically with the direct BPF expansion of $c(t)$.

Step by Step Solution

★★★★★

3.51 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Digital Control System Analysis And Design Questions!

Consider the closed loop system of Problem 10.3. Knowing the input output and feedback path transfer function, identify the system both in BPF domain and in LPWM-GBPF domain using the convolution...

Consider the closed loop system of Problem 5.4. Knowing the input, output, and feedback path transfer function, identify the system using (a) the "deconvolution" matrix and (b) the recursive approach...

Consider the feedback system of Problem 10.3. Double the value of $m$ for the same interval $T$ and find its output $c(t)$ in BPF domain using the convolution matrix. Finally, comment on the...

Consider a closed loop system having the forward path transfer function $G(s)=(s+1)^{-1}$ and the feedback path transfer function $H(s)=\frac{4}{s}$. Find its output $c(t)$ in LPWM-GBPF domain...

Example 2.10 is in below (even it says 2.8 , it is 2.10) It is desired to find m(k) for the equation Problem 2. For this problem, consider the difference equation from Example 2.10 with input...

Consider the closed loop system of Problem 10.3. Identify the system in LPWM-GBPF domain for double the value of $m$ keeping the time interval $T$ same and new choices for $h_{0}$ and...

Consider a closed loop system having a loop transfer function $G(s) H(s)=\left(s^{2}+s+4ight)^{-1}$. Find its output $c(t)$ in BPF domain for a step input $u(t)$, using block pulse operational...

For the single link robot arm system given in Figure 1 mass of the system is m, and length is 1. The angle between the robot and ground is 0. The angular velocity is . Control torque applied at the...

Part 1 . Assuming that the total output response of the system g ( t ) is not ideal, and you need to improve its output response, your job is to design a closed loop system shown in Fig 2 . This new...

I made the changes that you suggested but I am not able to see the graph it's blank. %% This code solves the 4-element Windkessel Model for a defined flow rate, Q(t) clear all; clc; close all; %%...

Richie Hunt is known for collecting and storing barrels of oil on his 90-acre ranch. Over the years, he has failed to properly maintain the barrels, and now they're leaking oil, which seeps into the...

The following data give birth rates (per 1000 population) for 20 selected states in 1998 14.4 16.3 13.5 14.6 13.7 15.6 109 12.8 13.0 14.2 134 13.9 15.9 13.3 14.1 15.7 15.2 13.9 15.4 11.3

The risk policy that specifies a numerical target for a company's duration gap value and a numerical range of acceptable values around the target value is the duration policy audit policy liquidity...

What effect would the use of straight-line depreciation have on the leasebuy decision? (Answer verbally; no calculations are needed. Ignore the bullet loan assumption in question 3.) L01

Consider the temperature control system of Fig. P7.5-3. This system is described in Problem 1.6-1. For this problem, ignore the disturbance input, let T = 0.6 s, and let the digital controller be a...

Consider the system of Fig. P7.2-5 with T = 1 s. Let the digital controller be a variable gain K such that D(z) = K. Hence m(kT) = Ke(kT). (a) Write the closed-loop system characteristic equation....

There are many situations where infinite loops may occur. Discuss those situations and provide best practices for each of the loop types that help avoid writing infinite loops.

Give me some feedstocks that can be used in FCC units to maximize the production of propylene mention some citation.

A. Company LN issued a bond with an annual coupon rate of 10% with interest paid annually. The bond matures in 15 years. The par value of the bond is $1,000. If your required return for this type of...