Find all values of alpha such that the system is stable

Assignment Help Electrical Engineering

Reference no: EM13140599

Question about Transfer Function Analysis
For a unity feedback system with open-loop transfer function, G(s) = K(s+alpha)/(s^2 + 4s + 1):
a) Find all values of alpha such that the system is stable for K = 2.
b) If the unity feedback closes around this G(s) and an input is a unit step r(t) = 1u(t), what is the stead-state error, e_ss, as a function of alpha and K?
c) For K=2 and alpha = 1, where are the closed-loop poles?
d) For the step input, find output y(t) as a function of time, when K = 2 and alpha = 12 and y(0) = 0.

Reference no: EM13140599

Questions Cloud

Sarah''s previous school : Teachers from Sarah's previous school report that Sarah is a good student who tries hard and generally manages well despite her disabilities. They also mention that Sarah's Mother, is a sole parent who works well with teachers in order to support her..

Determining margin of safety : If a business had a capacity of $10,000,000 of sales, actual sales $6,000,000, break-even sales of $4,500,000, fixed costs of $1,800,000, and variable costs of 60% of sales, what is the margin of safety expressed as a percentage of sales?

What basis will (parent) wren corporation have in market : Cardinal also had a general business credit carryover of 25k. Parent Wren Corporation acquired all the stock of Cardinal seven years ago for 390k. What basis will (parent) Wren Corporation have in the marketable securities and unimproved land it ..

Bernie ebbers and scott sullivan use to control employee : what influence tactics did Bernie Ebbers and Scott Sullivan use to control employees and company's board?

Find all values of alpha such that the system is stable : Find all values of alpha such that the system is stable for K = 2. If the unity feedback closes around this G(s) and an input is a unit step r(t) = 1u(t), what is the stead-state error, e_ss, as a function of alpha and K?

Find effect size for study by steps of hypothesis testing : Use the steps of hypothesis testing, (b) figure the effect size for the study; and (c) explain your answers to parts (a) and (b) to someone who has never had.

What is the break-even point in dollars : Innova Discs has two divisions-Standard and Premium. Each division has hundreds of different types of golf discs and disc golf products. The following information is available:

How much do they borrow or lend per period : Find the optimal consumption bundle if m1 = 100, m2 = 88, and r = :2. Is the consumer a borrower or a lender? How much do they borrow or lend per period?

Measure of liquidity : Which of the following is not considered a measure of liquidity?

User Account

All Pages