Question: The transfer function of a phase lead compensator is given by (frac{1+a mathrm{Ts}}{1+mathrm{Ts}}) where (a>1) and (mathrm{T}>0). The maximum phase shift provided by such a

The transfer function of a phase lead compensator is given by $\frac{1+a \mathrm{Ts}}{1+\mathrm{Ts}}$ where $a>1$ and $\mathrm{T}>0$. The maximum phase shift provided by such a compensator is
(a) $\tan ^{-1}\left(\frac{a+1}{a-1}ight)$
(b) $\tan ^{-1}\left(\frac{a-1}{a+1}ight)$
(c) $\sin ^{-1}\left(\frac{a+1}{a-1}ight)$
(d) $\sin ^{-1}\left(\frac{a-1}{a+1}ight)$

Step by Step Solution

★★★★★

3.44 Rating (147 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The transfer function of a phase lead compensator is given by Gs 1 aTs 1 Ts where a 1 and T 0 The ph... 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 Systems Analysis And Design Questions!

Points B and C lie on segment AD as shown below. Segment AD is 32 units long, segment AC is 23 units long, and segment BD is 27 units long. How many units long, if it can be determined, is segment...

In Problem 67, Chapter 7 (Figure P7.31), the block diagram of a cascade scheme for the speed control of an HEV (Preitl, 2007) was represented as a unity feedback system. In that diagram the output of...

1.Let's act as if your professor knows something about financial statement analysis and modeling and use his $475 intrinsic value price for Chipotle to recalculate the trailing price to earnings...

Ovenview In this lab we will first learn how to implement transfer function in both Matlab and in Simulink. Next we show how to write block diagrams as signal flow graphs, and lastly we will use the...

% Demonstration of Cruise Control % Using PI (Proportional and Integral) Controller % % Task: Complete and run the script. % The places you need to add code start with a capitized word. clear all;...

It is a simple and hypothetical bank application with two accounts. User can create two accounts whose account number and initial balance are randomly assigned. User can perform and repeat various...

Please answer ASAP and comment again if you are still working on the problem. Please box final answers and answer all portions of the question correctly and you will be given thumbs up. See attached...

I need help programming this question using C. The code must follow these parameters and include the code below in bold. No global variables, no arrays, and no recursive functions are supposed to be...

5 . 2 How to do work assignment 0 1 tasks. Click the MATLAB button on the desktop Open new script in MATLAB Save new script it in surname _ studentnumber.m Write code for task 1 in this script . 3 (...

Appendix G: (Not required information but I put it here incase it might help) b. Build a Simulink program based on the transfer function in Eq. (2-8) with R= 10k12 and C = 10uF. to conduct...

With respect to translation of the financial statements of a foreign subsidiary located in a highly inflationary economy, explain the differences between U.S. GAAP accounting and reporting and IFRS...

A cable pulls on a flange with a tension force as shown. Using the slope-triangle method solve for the horizontal (x component) and vertical (y component) components of the tension force. 500 N 12

What is the economic life of a project? The period when the equipment cannot run anymore. The time period that maximizes the NPV . The time at which the project will no longer be able to generate...

Urban Elite Cosmetics has used a traditional cost accounting system to apply quality-control costs uniformly to all products at a rate of 14.5 percent of direct-labor cost. Monthly direct-labor cost...

Use recursive least squares to estimate the transfer function for the LTI model given in Example 10-2 using the impulse response data y(k). Verify that the poles of this transfer function match the...

Consider the following unit step response of a discrete-time LTI system: It is known that the transfer function of the system has three poles and two zeros. All three poles are at z = 1. Assuming the...

Define treatment, payment, and health care operations ( TPO ) , as stated in the HIPAA regulation.

On December 31, 2020, Mountain Co. has notes payable due on June 4, 2021 for a total of $6,000,000. On January 10, 2021, Mountain arranged for a line of credit with Sequoia Bank which allows Mountain...

I need help with this project. I am having trouble making the graphics part of the code to work. The program should draw an oval or rectangle depending on the options that you give it. I have...