Knowee
Questions
Features
Study Tools

The characteristic polynomial of system is (𝑠) = 2𝑠5 + 𝑠4 + 4𝑠3 + 2𝑠2 + 2𝑠 + 1 .   The system isSelect one:a. marginally stableb. stablec. unstabled. oscillatory

Question

The characteristic polynomial of system is (𝑠) = 2𝑠5 + 𝑠4 + 4𝑠3 + 2𝑠2 + 2𝑠 + 1 .   The system isSelect one:a. marginally stableb. stablec. unstabled. oscillatory

🧐 Not the exact question you are looking for?Go ask a question

Solution

To determine the stability of the system, we need to analyze the characteristic polynomial. The characteristic polynomial given is 2𝑠^5 + 𝑠^4 + 4𝑠^3 + 2𝑠^2 + 2𝑠 + 1.

To determine the stability of the system, we can look at the coefficients of the polynomial. In this case, all the coefficients are positive, which indicates that all the poles of the system have positive real parts.

Since all the poles have positive real parts, the system is unstable. Therefore, the correct answer is c. unstable.

This problem has been solved

Similar Questions

For a second order system, damping ratio (𝜉), 𝑖𝑠 0 < 𝜉 < 1, then the roots  of the characteristic polynomial are ____Select one:a. real but not equalb. complex conjugatesc. imaginaryd. real and equal

A system with gain margin close to unity or a phase margin close to zero isSelect one:a. unstableb.highly stablec. oscillatoryd. relatively stable

A closed-loop system has the characteristic function (𝑠2 – 4) (s + 1) + k (s - 1)=0 . Its root locus plot against K is -------Select one:a. b. c. d.

the feedback system with the characteristic equation 2s4 + 20ks3 + 3s2 + 5s + 7 = 0(a)stable for all value of k(b)stable fo rpositive value of k(c)stable for infinity>k>7.0(d)unstable for all values of k

If the characteristic equation of a closed-loop system is s2 + 2s + 2 = 0,  then the system isSelect one:a. Undampedb. Critically dampedc. Overdampedd. Under damped

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.