(9) (15 points) The digitized plant of a unity feedback control system is described by the...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
(9) (15 points) The digitized plant of a unity feedback control system is described by the transfer function G(2) =- (2+0.5) (2-1X:-0.5) and a digital compensator of the form F(z) =k-0.8 z-0.4 will be added to produce the system shown below. R(z) C(z) F(2) G(2) T-0.5 s (a) Find the system type. (b) Find the position, velocity, and acceleration error constants. (c) Find k so that the steady-state error to a unit ramp input is less than 0.01. (d) Find the steady-state error when the input R(z) = 3z/(z-1)- z/(z-1). (9) (15 points) The digitized plant of a unity feedback control system is described by the transfer function G(2) =- (2+0.5) (2-1X:-0.5) and a digital compensator of the form F(z) =k-0.8 z-0.4 will be added to produce the system shown below. R(z) C(z) F(2) G(2) T-0.5 s (a) Find the system type. (b) Find the position, velocity, and acceleration error constants. (c) Find k so that the steady-state error to a unit ramp input is less than 0.01. (d) Find the steady-state error when the input R(z) = 3z/(z-1)- z/(z-1).
Expert Answer:
Related Book For
Posted Date:
Students also viewed these electrical engineering questions
-
A unity feedback control system shown in Figure AP7.14 has the process Design a PID controller using Ziegler-Nichols methods. Determine the unit step response and the unit disturbance response. What...
-
A process is described by the transfer function (a) What is the form of the process response to a step change in input of magnitude M? You do not need to find y(t) explicitly.(b) Calculate the output...
-
A process is described by the transfer function which includes actuator and measurement dynamics. The process engineering group has the option of redesigning the process to eliminate the right-half...
-
Joan has been a full-time director of Sunnybank Pursuits Ltd (a trading company) since 2001 and has owned 10% of the company's ordinary shares since 2002. She retired in February 2021 and gave all of...
-
Find the price of a 3-month European call option with K = 100, r = 0.05, S(0) = 100, u = 1.1 and d = 0.9 in the binomial model, if a dividend amount of D = $5 is to be paid at time = 1.5 months. Use...
-
Let Z Gamma(a, ), where a is an integer. Conditional on Z = z, let X Pois(z). Show that X has a negative binomial distribution with the following interpretation. For k = 0, 1, . . . , P(X = k) is...
-
Im gathering some information about the sales/collection process and how it is supposed to work. Okay?
-
Robin Shalit, D.D.S., opened a dental practice on January 1, 2014. During the first month of operations, the following transactions occurred. 1. Performed services for patients who had dental plan...
-
Describe the growth of organized labor. What were some of the early unions that appeared at this time? What important strikes occurred at this time?
-
Use Worksheet 14.1 to help Paul and Crystal Meyer, whod like to retire in about 20 years. Both have promising careers, and both make good money. As a result, theyre willing to put aside whatever is...
-
Prepare the Information Systems Architecture and three-tier architecture of the given below System Description. System Description: Intelligent Folder and Files Manger for Desktop The Desktop...
-
Owner purchased land in a subdivision subject to restrictive covenants designed to ensure that all homes built in the subdivision were complementary. Owner complied with the requirement to submit...
-
Chief Thomas Rainwater signs and returns a letter from John Dutton, referring to the Dutton Yellowstone Ranch and its price. When Chief Rainwater attempts to complete the deal, John Dutton refuses,...
-
The Chapman Company had net income for the taxation year ending December 31st, 2022, of $263,000. This amount included $14,250 in taxable capital gains, as well as $14,200 in taxable dividends...
-
Andrew is a newspaper reporting that covers business and economic topics. He recently filed a FOIA request with the Department of Justice (DOJ), asking for case information and decisions concerning...
-
2. You own a farm business that produces corn and soy, and you need to replace your combine harvester. You are choosing between two options: A John Deere combine that costs $600,000, and a New...
-
Question 3 Let f: BC and g: A B. (i) Show that if both and g are surjective, then fog is surjective. (ii) Is is true that if fog is surjective, then both and g are surjective? Why?
-
White Bolder Investments (WBI) You are an intern working for WBI, a large investment advisory services in Sydney. Among other regular customers, WBI has been providing advisory services for Jumbo...
-
A unity negative feedback system has a loop transfer function Sketch the root locus as a function of K. Carefully calculate where the segments of the locus enter and leave the real axis. K (s2 0.1)...
-
A system has a loop transfer function (a) For K = 4, show that the gain margin is 3.5 dB. (b) If we wish to achieve a gain margin equal to 16 dB, determine the value of the gain K. L(s)-G(s)G(s)-s(s...
-
Consider the feedback control system in Figure DP6.7.The system has an inner loop and an outer loop. The inner loop must be stable and have a quick speed of response. (a) Consider the inner loop...
-
In Theorem 1.15 prove that \(E_{p}(x, \delta)=o\left(\delta^{p}ight)\), as \(\delta ightarrow 0\). Theorem 1.15. Let f be a function that has p+ 1 bounded and continuous derivatives in the interval...
-
Prove Part 3 of Theorem 1.14 using only Definition 1.6. That is, prove that for any non-negative integer \(k\), \[\frac{d}{d x} H_{k}(x)=k H_{k-1}(x)\] Do not use the result of Part 1 of Theorem...
-
Consider approximating the normal tail integral \[\bar{\Phi}(z)=\int_{z}^{\infty} \phi(t) d t\] for large values of \(z\) using integration by parts as discussed in Example 1.24. Use repeated...
Study smarter with the SolutionInn App