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For a system with the transfer function H(s) = 3(s-2)/s^3+4s^2-2s+1 , the matrix A in the state space form is equal to:

Sun, 03 Oct 2021 11:24:54 +0000

For a system with the transfer function H(s) = 3(s-2)/s^3+4s^2-2s+1 , the matrix A in the state space form is equal to:

The question was asked in a job interview.

Query is from State Variable Analysis in chapter Time Response Analysis, Design Specifications and Performance Indices of Control Systems

The z-transform corresponding to the Laplace transform G(s) =10/s(s+5) is

Sun, 03 Oct 2021 11:24:14 +0000

The z-transform corresponding to the Laplace transform G(s) =10/s(s+5) is

The question was posed to me in homework.

I want to ask this question from The inverse z-transform and Response of Linear Discrete Systrems in division Digital Control Systems of Control Systems

Answered: Velocity error constant of a system is measured when the input to the system is unit _______ function.

Sun, 03 Oct 2021 11:06:46 +0000

The correct choice is (b) Ramp

Explanation: Velocity error constant of a system is measured when the input to the system is unit ramp function then only velocity error is finite but error due to other inputs are not defined.

Answered: In a control system integral error compensation _______steady state error

Sun, 03 Oct 2021 11:05:56 +0000

The correct choice is (b) Minimizes

For explanation I would say: Integral compensation is the phase lag compensation as it reduces or minimizes the steady state error by not affecting the damping factor but reducing the natural frequency.

Answered: With feedback _____ reduces.

Sun, 03 Oct 2021 11:05:03 +0000

Right option is (b) System gain

For explanation I would say: With feedback damping increases and system gain reduces as they are inversely proportional to each other and for the good control system the speed of response must be high with low gain and oscillations.

Answered: Which of the following is the output of a thermocouple?

Sun, 03 Oct 2021 11:04:12 +0000

Correct option is (d) D.C. voltage

The best explanation: Thermocouple is the instrument that has two different metals with different temperatures and the difference in temperature is converted into the potential difference and gives output in D.C. Voltage.

Answered: A performance index must offer selectivity.

Sun, 03 Oct 2021 11:03:23 +0000

Right answer is (a) True

Explanation: It must offer selectivity, that is, an optimal adjustment of parameters must clearly distinguish non optimal adjustment of parameters. If there was no selectivity we would not have been able to distinguish between parameters.

Answered: For a unity feedback control system, the open loop transfer function G(s) = 10(s+2)/s^2(s+1). What is the acceleration error constant?

Sun, 03 Oct 2021 11:02:30 +0000

The correct option is (d) 20

The best explanation: As limit s tends to zero s^2 G(s) H(s) = s^2 G(s) = 10*2/1 = 20. Therefore we get the value of Ka as 20 and both kv and ks are infinity.

Answered: Linear lumped parameter models are not valid under situations as:

Sun, 03 Oct 2021 11:01:21 +0000

Right option is (c) Transmission pipe causes the time lag and loss of heat by conduction and convection

The best explanation: Linear lumped parameter models are the models that simplifies the description of the behaviour of spatially distributed physical systems into a topology consisting of discrete systems and not valid when the pure time lags are negligible compared to other lags in the system.

Answered: Which of the following programs is not a popular desktop publishing program?

Sun, 03 Oct 2021 11:00:33 +0000

Right choice is (c) Lotus AmiPro

To elaborate: Lotus AmiPro is a word processing package.

Answered: The connection between a multimedia presentation and a file containing a song to be played is called a(n) _________

Sun, 03 Oct 2021 10:59:25 +0000

Right choice is (a) Link

To explain: Each page presents information and provides links or connections to related information and the connection between a multimedia presentation and file containing a song to be played is called link.

Answered: Peak overshoot of step-input response of an underdamped second-order system is explicitly indicative of

Sun, 03 Oct 2021 10:58:34 +0000

Correct option is (d) Damping ratio

To elaborate: Peak overshoot refers to the damping of the system as if the damping id less than the peak will be more.

Answered: The root locus diagram has loop transfer function G(s)H(s) = K/ s(s+4)(s^2+4s+5) has

Sun, 03 Oct 2021 10:57:38 +0000

Right choice is (b) Three real breakaway points

The explanation is: The breakaway points are the points where the root locus branches break and it is not necessary that this point must lie on the root locus calculated by differentiating the value of K with respect to s and equating it with zero.

Answered: The steady state error for a unity feedback system for the input r(t) to the system G(s) = K(s+2)/s(s^3+7s^2+12s) is 6R/K. The input r (t) is _______

Sun, 03 Oct 2021 10:56:07 +0000

Correct choice is (a) Rt2/2

The best explanation: Ka = 2K/12 = K/6. Ess = 6R/K. So, as we take Rt^2/2 we get 6R/K as the error. The other options can’t be true because the input is exceeding the desired input. It is inversely proportional to the gain.

Answered: What is the response of the feedback function with open loop transfer function G(s) = 4/s(s+5) and input is input step?

Sun, 03 Oct 2021 10:54:45 +0000

Correct option is (a) 1-1/3(4e^-t – e^-4t)

Easiest explanation: We should first get the response in s domain which is C(s)/R(s) = G(s)/1+G(s) = R(s) 4/(s+1)(s+4) and as the input is unit step which R(s)=1/s the equation becomes 4/s(s+1)(s+4). Then we apply partial fraction to the equation and we get values of A, B, C as 1, -4/3, 1/3 and then inverse Laplace transform is applied to C(s) and we get response as 1-1/3(4e^-t – e^-4t).

Answered: The lagrangian is defined as:

Sun, 03 Oct 2021 10:53:31 +0000

A Lagrangian function is L=(12x˙2−12ω2x2)e2kt and the basic Noether identity, (3.22.1), becomes (3.22.24)[x˙F˙−ω2xF−f˙(12x˙2+12ω2x2)+fk(x˙2−ω2x2)]e2kt−P˙=0.