Question: The error E(s) of a control system is represented by the following mathematical relationship: 1+ TS(1KGe(s)G(s)) TS + 1+ KG(s)G(s) E(s) = It is

The error E(s) of a control system is represented by the following mathematical relationship: 1+ TS(1KGe(s)G(s)) TS + 1+ KG(s)G(s) E(s) = It is considered that for the system: lim SG (s)G(s) = 0. 50 Show that the steady state error for a unit step input is: ess = lim s E(s) = 3-0 -R(s). 1 1 + K lim Ge(s)G(s) 5-)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The steady state error for a unit step input ... View full answer

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 General Management Questions!

In each circuit of Figure 689, identify the series and parallel relationships of the resistors viewed from the source. R 1.0 + (a) FIGURE 6-89 sv Alli | R 6.8 R3 3.3 R4 10 R5 5.6 R 1.0 R 1.0 (b) WW +...

A hovering vehicle control system is represented by two state variables, and [13] (a) Find the roots of the characteristic equation. (b) Find the state transition matrix Î¦(t). 6. -1

A first-order system is represented by the time domain differential equation A feedback controller is to be designed such that u(t) = -kx, and the desired equilibrium condition is x(t) = 0 as t ->...

A system is represented by the following ordinary differential equation where y(t)is the system output and x(t)is the input. (a) Find the transfer function H(s) = Y(s)/X(s)of the system. From its...

Consider the system is described in state variable form by y(t) = Cx(r) where Assume that the input is a linear combination of the states, that is, u(t) = -Kx(r) + r(f), where r{t) is the reference...

A specific closed-loop control system is to be designed for an under damped response to a step input. The specifications for the system are as follows: 10%

The Macon Psychiatric Institute is interested in redesigning its mental health care delivery system in order to maximize the number of people who can benefit from its services. Unfortunately, having...

Omaha, Inc., recorded certain capital stock transactions shown in the following journal entries: (1) issued common stock for $\$ 40$ cash per share, (2) purchased treasury shares at $\$ 50$ per...

Consider the control system, where Develop an m-file to show that the phase margin is approximately 50 and that the percent overshoot to a unit step input is 18%. 110 G( and Gc(s)= -+10)

Design a PID controller for the drive system of Problem 56, Chapter 8, and shown in Figure P8.15 (Thomsen, 2011). Obtain an output response, L(t), with an overshoot 15%, a settling time of preferably...

Analyzing the Effect of an Inventory Error Disclosed in an Actual Note to a Financial Statement Several years ago, the financial statements of Gibson Greeting Cards, now part of American Greetings,...

Presented below are data relating to labor for Verde Appliance Repair Shop. The desired profit margin per hour is $23.75 The material loading charge is 60% of invoice cost Verde estimates that 4,100...

In the gas phase at 500.C, cyclopropane reacts to form propene in a first-order reaction. The figure below shows the concentration of cyclopropane plotted versus time. Use the graph to calculate...

On December 1 . 2 0 2 5 , Grouper's Bakery leases a packaging conveyor for 5 years. The arrual lease payments are $ 6 6 0 0 0 per year, payable at the beginning of each year. Inflation is expected to...

What if anything was yahoos response to Googles last minute offer for the AOL European business?

How did google solve the playboy interview legal issue prior to the launch of the L.P.O?

In the case student from the book Davenport & Kim on Metabical case study from pages 77-88. Can you let me know if the case study align the problem, models, an data an why with giving insights?

A loan is being repaid with equal annual installments at 4% effective per annul. If the principal repaid in the next to last installment is $100, find the interest contained in the installment due 5...

Consider the following spot discount rates: Maturity in years Continuously compounded zero rate 0.5 4.50% 5.00% 1.5 5.50% 2 6.00% 1. Compute the 1.5 year spot discount factor. 2. Compute the par...

Use R studio to solve the problem The size of population is 80. Now using the simple random sampling to select 20 people, what is the sampling weight for each people in the sample?

An armature-controlled DC motor is driving a load. The input voltage is 5 V. The speed at t = 2 seconds is 30 rad/s, and the steady speed is 70 rad/s when t . Determine the transfer function...

Consider the non-unity feedback system is depicted in Figure CP4.11. (a) Determine the closed-loop transfer function T(s) = Y(s)/R(s). (b) For K = 10, 12, and 15, plot the unit step responses....

For electromechanical systems that require large power amplification, rotary amplifiers are often used [8, 19]. An amplidyne is a power amplifying rotary amplifier. An amplidyne and a servomotor are...

6. What is the function of Golgi tendon organs?

31. If someone reports seeing a particular letter in color, in what way is it diff erent from a real color?

1. Why can the eye muscles move with greater precision than the biceps muscles?