Problem #2 Utilizing the Routh-Hurwitz criterion, determine the range of K that results in a stable system of the following characteristic equations: (e) q(s) = s + 2s' + (4 + K) s² + 9s + 25 (f) q(s) = s + Ks + 5s + 10s + 10K

Q: Determine the range of K for stability in Figure below. R(s) + E(s) K s(s+7)(s + 11) C(s)

A:

Q: Which of the following is an ordinary differential equation? A X Z +yz = 0 xy yx d²u d²u (B) + dx²…

A: Ordinary differential equation consists of only one derivative of one variable.

Q: Answer the following questions for f(t) shown below 1 0=(cos(2000pi)t – -cos(6000pi)t +…

A: We will use fourier series properties to evaluate components and frequency of signal.

Q: For single frequency value, the most sensitive detector is ________ a) tuned detector b) vibration…

A: A vibration galvanometer is used to determine the state of balance. The Oscillator is used as a…

Q: -Apply root locus technique to draw locus of the closed-loop poles for the system

A: Let us suppose ζ=1 in order to draw the closed loop poles clearly. Here, No. of Poles of Open loop…

Q: a) Write all the rules to draw root-locus for a system then, locate poles and z on S-plane (draw to…

A: Root locus is a graphical method to find the range of gain by which we can determine the stability…

Q: Consider a second order all-pole transfer function model, if the desired settling ime (5%) is 0.60…

A: Damping ratio is system parameter. It is represented by Zeta ζ. The poles of transfer function is…

Q: Homework 2 Determine the stability of the system having a characteristic equation given below q(s) =…

A: To determine the stability of the system with given characteristic equation

Q: 4. The fuel-cost functions in $/h for three thermal plants are given by F = 500 + 5.3P, + 0.004P? F2…

A:

Q: G₁(s) G₂(s) R(s) O- Ts= 4 Wns c(tp)-C(), Tp=- C(00) Formüller: Ts Mp=- -1 4 W n Mp= / G3(s) G4(S) -1…

A: The total number of forwarding paths is Total loops,

Q: + X R L For the RL circuit, find the mathematical model (input-output relationship) if the output is…

A: here we have to find the mathematical model of the circuit.

Q: PROBLEM: in plotting root locus, find the jw-crossing is/are R(s) K s(s+ 1)(s² + 4s +13) C(s)

A: To find the jw crossing in Root locus, first find the CE = 1+GH=0 Write RH Table using CE and find…

Q: a) Derive the characteristic equationof the system b) Check if the system satisfies the Necessary…

A: Given Transfer fucntion  G(s) = 25ss2+3s+15H(s) = 1

Q: Q/2/ Sketch the root-locus and determine the range of K for the following system: G(S)H(s): K(S+ 2)…

A: Steps: Find Characteristics equation 1+G(s) H(s)=0 Find RH Criteria Table The first-row element…

Q: 'R Find the differantial equation and solve it for the parallel RC circuit is given. The TOTAL (Sum)…

A:

Q: Q2) For the following system, find the root locus by sketching the asymptotes and the angle k of…

A:

Q: t-o IF ve? Ve lt) -9

A:

Q: 1. Solve for the transfer function 6,(n) T(1) 0000 1kg m² 3 N-m/rad 2 N-m-s/rad 0000 8 N-m/rad e(s)…

A: Given: A mechanical control system,  To find: Transfer function,  G2(s)=θ2(s)T(s),

Q: Q5) Find the minimum SOP for each of the following using K-maps: a) f(a,b,c) = mo+m2+m5+m6 b)…

A:

Q: Sketch the root locus for the given negative feedback unity system. G(s) = = 5 (s + K)(s − 2)

A: define transfer function

Q: 2. Show that a ohm · farad is the same as a second. Show steps. 3. A 3 µF capacitor initially has a…

A:

Q: a) Find the steady-state response of the system below if the input is x(t) = sin(2n169t)u(t) + sén…

A:

Q: T(s) = s³ +7s2 -21s +10 6 so +55 654 +0s³-s²-s+6

A:

Q: f(a,b,c,d)= ( a+b+c).(c+d').( a'+b+d').(a'+b'+c)

A:

Q: 1 Given the output voltage signal Vo(s) below, find the output voltage in the time domain vo(t).…

A:

Q: For the following root locus form (s+1) (s+2) 1+ K- =0 (s – 1) (s – 2) the starting points of the…

A:

Q: Q1: Sketch the following sequences 1) -3.8 u(n-2) 2) x(n)…

A:

Q: Solve the difference equation xn+2 Xn+1 – 2xn = 0 with xo O and x1 = 1. | Select one: (-1)" O (1)" –…

A:

Q: Zero, Pole, Zero-Pole Plot Use MATLAB command zpk () to implement G(s) = 8(s + 1)(S-2) (s + 10) (s +…

A: Given:a transfer function To find:a) zeros and poles using MATLAB. b) pole zero plot using MATLAB.

Q: Find Time resPonse for Yes)= 2 S+3 s (s+3)

A:

Q: Sketch the following sequences 1) -3.8 u(n-2) 2)…

A: Please find the sketch in below image.

Q: a) Write all the rules to draw root-locus for a system then, locate poles and z on S-plane (draw to…

A: Root locus is a graphical approach to find the stability of a system using OLTF It is the locus of…

Q: Find the transfer function relating the 0,(s) to T(s) for the rotational mechanical network shown.…

A:

Q: RIS), s42,85+4 2.e S+2

A:

Q: Q4 / From Slide 41 chapter 8 (All the 5 steps) ● Construction of root loci Step-1: The first step in…

A: In this questionWe need to draw the root loci of the given system.

Q: K(s+10) b) G(s)=s? +5s + 2) s²(s² +5s+2)

A: dear dear student as per our guide lines we are supposed to do one question..kindly repost other…

Q: 7. Consider the system having transfer given by: K G(s) = s(s + 4)(s+4+ j4) Determine the breakaway…

A: Break away point is the solution of dk/ds=0 From given transfer function we will find k and the…

Q: GH = 1+ e/ - 1

A:

Q: R t = 0 i(1) L Find the steady state component value of i(t) at t = 2msec for the values Vg = Vmcos…

A:

Q: nd an inductor of 1 henr

A: In such a type of question the solution can be determined by using Laplace transform and by using…

Q: 1. Solve for the transfer function G₁ (s) = 01 (S) T(s) J G₂ (S) = 82 (S) T(S)

A: The transfer function for the given mechanical rotational system needs to be calculated. The…