For the system of Fig. P4.4-3, the filter solves the difference equation m(k) = 0.9m(k 1)+ 0.2e(k)
Question:
For the system of Fig. P4.4-3, the filter solves the difference equation m(k) = 0.9m(k −1)+ 0.2e(k)
The sampling rate is 1 Hz and the plant transfer function is given by
Transcribed Image Text:
E(s) e(t) T using E*(s) e(KT) D(z) 2-z-1 Fig. P4.4-3 (a) Find the system transfer function G (s) = = M(z) m(kT) 1 s+ 0.2 1-g-Ts G(s) s+1 C(z)/E (2)* (b) Find the system de gain from the results of part (a). (c) Verify the results of part (b) by finding the de gain of the filter using C(s) D(z) and that of the plant G (s) (d) Use the results of part (b) to find the steady-state value of the unit-step response. (e) Verify the results of part (d) by calculating c(kT) for a unit-step input. (f) Note that in part (e), the coefficients in the partial-fraction expansion add to zero. Why does this occur?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
a Mz 09zMz 02Ez Mz Ez Dz G2 Cz Ez Z 1 c D1 N 200 b D1G1 02z Z09 09063 Z08187 1 ss02 1 DzGz 0181...View the full answer
Answered By
Rodrigo Louie Rey
I started tutoring in college and have been doing it for about eight years now. I enjoy it because I love to help others learn and expand their understanding of the world. I thoroughly enjoy the "ah-ha" moments that my students have. Interests I enjoy hiking, kayaking, and spending time with my family and friends. Ideal Study Location I prefer to tutor in a quiet place so that my students can focus on what they are learning.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Digital Control System Analysis And Design
ISBN: 9780132938310
4th Edition
Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty
Question Posted:
Students also viewed these Computer science questions
-
For the system of Fig P6.55, let Δz = 80 m and L = 185 m of cast-iron pipe. What is the pipe diameter for which the flow rate will be 7 m3/h? 4z
-
Consider the plant of Problem 9.2-1, which has the transfer function, from Example 9.5, G ( z ) = z 1 z z [ 1 s 2 ( s + 1 ) ] = 0.00484 z + 0.00468 z 2 1.905 z + 0.905 G ( z ) = z 1 z z [ 1 s 2 (...
-
The system of Fig C11.4 is designed to deliver water at 20C from a sea-level reservoir to another through new cast iron pipe of diameter 38 cm. Minor losses are _K1 0.5 before...
-
In his senior year at Notre Dame, Chris Moore had been the third runner-up for the fabled Heisman Trophy. The trophy goes to the outstanding football player in America and is presented annually by...
-
The piece of roof flashing shown is formed from sheet copper that is 0.032 in. thick. Knowing that the specific weight of copper is 558 lb/ft 3 , determine the mass moment of inertia of the flashing...
-
Use the rounding rules to round the following. 189.9895 =
-
A project has been selected for implementation. The net cash flow (NCF) profile associated with the project is shown below. MARR is 10 percent/year. a. What is the internal rate of return of this...
-
The Silver Star Bicycle Company will be manufacturing both mens and womens models for its Easy-Pedal 10-speed bicycles during the next two months. Management wants to develop a production schedule...
-
Construct factor trees for each of these numbers. (a) 108 (b) 378 (c) 550
-
Consider the system of Fig. P4.4-5. The filter transfer function is D(z). E(s) G(s) A/D Digital filter DIA Fig. P4.4-5 Express c(z) as a function of E G(s) C(s) (a) (b) A discrete state model of this...
-
Consider the hardware depicted in Fig. P4.4-2. The transfer function of the digital controller implemented in the computer is given by D(2) = 4.5(z - 0.90) z - 0.85 The input voltage rating of the...
-
Considering the EMH, it is best if financial disclosure is made in the body of the financial statements. Comment.
-
Executive Compensation topic: a) How do the board of directors decide what to include in executive compensation? What is the procedure for determining executive compensation? b) How would...
-
Christian, age 68, has just suffered a heart attack and has a shortened life expectancy. He owns a segregated fund contract from the Vesticom Insurance Company. Unfortunately, the Vesticom Insurance...
-
1. Identify where (at what point in the life of a program) and how the program planning and evaluation processes can provide opportunities for program improvement. 2. Explain how program evaluation...
-
How can the principles of systems thinking and system analysis be effectively applied to optimize the operations and management of a warehouse facility?
-
Use the blank table below to help you determine the standard deviation for the following stocks. Stock A will return a rate of 12% in a recession. 15% in normal conditions and 18% during a boom. The...
-
Ready-Light Co. manufactures light bulbs. Ready-Lights purchasing policy requires that the purchasing agents place each quarters purchasing requirements out for bid. This is because the Purchasing...
-
Why is it necessary to study the diffusion of molecules in biological systems?
-
Given a general first-order plant described by (a) Show that for R = 0, the optimal gain K(k) is constant for all k 0. (b) Give the input sequence u(k), k 0, for part (a), where u(k) is a function...
-
Consider the third-order continuous-time LTI system with A = 208 0 0 0 3 0 -8 -6 x = Ax + Bu y = Cx 0 B = 0, and C= [1 0 0]. Using = 8 0 0 0 6 0 0 4 3 R = 1.5 (a) First design a LQ controller for...
-
Given the first-order plant described by (a) Calculate the feedback gains required to minimize the cost function, using the partial-differentiation procedure of Section 11.3. (b) Repeat part (a) ...
-
Wright Aircraft, Inc. Wright Aircraft is the global leading builder of long-haul jet aircraft for civilian aviation. Management expects the company to maintain its leadership for the foreseeable...
-
Existing investment portfolios: Assess the impact of covid on investment portfolios of Superannuation funds - Fiji's FNPF and PNG's NasFund, and the inter-linkage with Governments - over a 4-year...
-
In 2011-2015, mutual fund manager, Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison. 2011 2012 2013...
Study smarter with the SolutionInn App