Given a closed-loop system described by the transfer function (a) Express c (k) as a function of

Question:

Given a closed-loop system described by the transfer function c(z) R(z) z+0.3z +0.2 z - z+0.9

(a) Express c(k) as a function of r(k), as a single difference equation.

(b) Find a set of state equations for this system.

(c) Calculate the transfer function from the results of part (b), to verify these results.

(d) Verify the results in part (c) using MATLAB.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Digital Control System Analysis And Design

ISBN: 9780132938310

4th Edition

Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty

See More Books

Question Posted: Jan 22, 2024 03:01 AM

See More Questions

6) A continuous time plant with transfer function is to be included in the control system of Figure 1, with D(z) = K and T = 0.1s: system a) Find the open loop discrete transfer function of the b)...
Given the first linearly independent solution y(x) = x and the point of expansion zo second linearly independent solution y(x) to the equation x(x + 1)y" + xy - y = 0 by the method of Frobenius. = 0,...
In Problem 10.16, we projected financial statements for Walmart Stores for Years +1 through +5. The data in Chapter 12s Exhibits 12.1612.18 include the actual amounts for 2008 and the projected...
Shown is the machine element of Problem 9.143. Determine its moment of inertia with respect to the line joining the origin O and point A. -1in in
For the system of capacitors shown in Fig. E24.21, a potential difference of 25 V is maintained across ab. (a) What is the equivalent capacitance of this system between a and b? (b) How much charge...
Consider the following cash flow profile and assume MARR is 10 percent/year and the finance rate is 4 percent/ year. a. Determine the MIRR for this project. b. Is this project economically...
Milano Corporation has three operating divisions and requires a 12% return on all investments. Selected information is presented here: Required: a. Calculate the missing amounts for each division. b....
6. [5] (A) Use integration to solve the "differential equation", dy dx 4 1+x' Note that the value of the solution at x=1 is . y(0) = 0 (B) Get a numerical approximation to 7 by using Euler's Method...
For the system of Fig. P5.3-1 (a) , let T = 0.1 s and (a) Calculate G (z) and H (z) . (b) Draw simulation diagrams for G (z) and H (z) , and interconnect these diagrams to form the control system of...
Consider the antenna control system of Fig. P5.3-15. The units of the antenna angle (t) is degrees, and the range is 45 . (a) The input signalr (k) is generated in the computer. Find the required...
Suppose that E and F are events in a sample space and p(E) = 1/3, p(F) = 1/2, and p(E | F) = 2/5. Find p(F | E).
After being stranded by his crew on an island in the Atlantic, Captain Kidd built a raft to escape and set out to sea on it. The wind is quite steady, at first blowing him due east for 19 km and then...
Farmer Joe is evaluating three (3) bids to supply fence hardware for the 5 acres of pasture that need to be fenced. Brady Fences Ltd. submits a bid of $45 per unit with a defect rate of 1.5%; Fence &...
Explain McGregor's Theories X and Y and how leaders apply them in the workplace
What is the energy conversion/transformation when you move a magnet near a coil and produce a current in the coil? Explain.
How does corporate strategy exert influence on capacity decisions within an organizational context?
Fourteen applicants for a city of Providence, Rhode Island, police academy training class each received from the city a letter stating that it was a conditional offer of employment subject to...
What impact has the Internet had on the globalization of small firms? How do you think small companies will use the Internet for business in the future?
Consider the system of Problem 6.5-2. Let the plant transfer function be given by Hence the dc gain of the plant is zero. The digital filter is as given in Problem 6.5-2. (a) Find the system type....
Consider the system of Fig. P6.5-2, with the digital filter as described in Problem 6.5-2. (a) Find the system type. (b) Find the steady-state response for a unit ramp input, without finding C(z)....
It is shown in Example 6.6 that the system of Fig. 6.2-2 has the parameters = 0.250 , n = 0.9191 , and = 4.36 s . Example 6.6 For this example we will consider the system of Example 6.4. For this...
Can you elucidate the role of strategic foresight and horizon scanning in long-term planning processes, including the identification of emerging trends, disruptive technologies, and market...
a policyholder has three seperate auto accidents in the same policy period and injusries one individual in each accident . excluding supplemental payments, if the policy has a combined single limit...
You have been asked to build a web application for your local soccer club which will record and display fixtures for matches. A match fixture should contain information about the competition (such as...

Given a closed-loop system described by the transfer function (a) Express c (k) as a function of

Question:

c(z) R(z) z+0.3z +0.2 z - z+0.9

Step by Step Answer:

a b C2 103z02z Rz 1z092 1z092 Cz 103z02z Rz ckck1 09ck2 rk 03rk102rk ...View the full answer

Digital Control System Analysis And Design

Students also viewed these Computer science questions