When designing a lead-compensator for a given transfer function and having the freedom to choose any...

When designing a lead-compensator for a given transfer function and having the freedom to choose any value for the damping factor, can you choose the damping factor to be 1 and have the desired pole lie on the real axis?

Solutions

Expert Solution

When a lead compensator is added to an uncompensated system then the value of damping ratio increases which in terms reduces the rise time and overshoot of the system. It also provides a faster transisent reponse and bandwidth of the system also increases. Overall addition of a lead compensator will make the uncompensated system more stable.

While designing the lead compensator if we choose to have damping factor equals to 1 then the system become a critically damped system that implies there will be no oscillation , no rise time and no overshoot in the output response along with that the system response will attain a steady state value with a shorter time period.

When damping ratio becomes equal to 1 the poles of the closed loop system will lie on the real axis.

So damping factor of 1 is an ideal case for lead compensator design and it is always advisable to have a damping ratio nearer to 1.

Manojponduru answered 1 year ago

Next > < Previous

Related Solutions

When a neutrally charged conductor is given a negative charge... (choose any of the methods by...

When a neutrally charged conductor is given a negative charge... (choose any of the methods by which this is physically accomplished) Some electrons are created Some protons are destroyed Electrons are transferred from another source Electrons are transferred to another source Some neutrons are transformed into electrons Some protons are transformed into electrons None of the above

The subject of human resources management What does it mean to 'Lead the market' when designing...

The subject of human resources management What does it mean to 'Lead the market' when designing the pay system as a compensation manager? Elaborate with an example of an organization practicing this strategy. (at least 1 page) please do not copy and paste from websites I needed a unique answer.

Consider the transfer function G(s) = 1/[(s+1)^2(s+2)]. We use a PI compensator C(s)=(as+b)/s and close the...

Consider the transfer function G(s) = 1/[(s+1)^2(s+2)]. We use a PI compensator C(s)=(as+b)/s and close the feedback loop. 1.) Find out the entire range of a and b at which the closed-loop is stable and show it on the plane with a and b axes. 2.) At the border of instability, find the frequency of oscillations in terms of a. 3.) For what value of a, do we get the largest range of b for stability? What is this largest...

given and sketch in steps the root locuse of transfer function by matlab and hand calculation...

given and sketch in steps the root locuse of transfer function by matlab and hand calculation G(s)=(s+3)/s(s+2) given solution please

Choose a chemical equation for the reaction that will occur, if any, when: (If no reaction...

Choose a chemical equation for the reaction that will occur, if any, when: (If no reaction will occur, choose “no reaction”.) aluminum metal is added to a solution of copper(II) chloride a) 3Al(s) + 2 Cu 2+(aq) → 3Al3+(aq) + Cu (s) b) Al(s) + Cu 2+(aq) → Al3+(aq) + Cu (s) c) no reaction d) 2Al(s) + 3 Cu 2+(aq) → 2Al3+(aq) + 3 Cu (s) mercury metal is added to a solution of magnesium sulfate. a) 2 Hg...

Many government programs have both an efficiency-enhancing function and an equity / redistributive function. Choose any...

Many government programs have both an efficiency-enhancing function and an equity / redistributive function. Choose any government spending program. a. Which government spending program did you choose? b. Describe two ways in which the program you chose enhances efficiency. c. Describe two ways in which the program you chose redistributes income.

Q1) Plot the root locus for the following systems where the given transfer function is located...

Q1) Plot the root locus for the following systems where the given transfer function is located in a unit negative feedback system, i.e., the characteristic equation is 1+KG(s)=0. Where applicable, the plot should indicate the large gain asymptotes, the angle of departure from complex poles, the angle of arrival at complex zeros, and breakaway points. Verify your answer using MATLAB (“rlocus” command) and show the results obtained from MATLAB. a) G(s) = (s + 4) (s + 2) 2 (s...

PLEASE MAKE CLEAR STEPS. The probability of having shortages of water on any given day is...

PLEASE MAKE CLEAR STEPS. The probability of having shortages of water on any given day is 0.12. a. In the next ten days, what is the probability that we have water shortages in exactly two days? b. What is the expected value of the number of days without water in the next ten days? c. If an inspector arrives, and every day checks for water shortages, how many days on average will he have to maintain his inspection if he...

Consider the linear time invariant system described by the transfer function G(s) given below. Find the...

Consider the linear time invariant system described by the transfer function G(s) given below. Find the steady-state response of this system for two cases: G(s) = X(s)/F(s) = (s+2)/(3(s^2)+6s+24) when the input is f(t) = 5sin(2t) and f(t) = 5sin(2t) + 3sin(2sqrt(3)t)

When I graphed the linear function, it turned out to be a wavy curve. Choose the...

When I graphed the linear function, it turned out to be a wavy curve. Choose the correct answer below. A. The statement makes sense because linear functions can have graphs with any shape. B. The statement does not make sense because a linear function has a straight-line graph. C. The statement makes sense because a linear function can have a rate of change that increases or decreases. D. The statement does not make sense because a linear function can have...

Subjects