Consider the following transfer functionsG₁(s)10(s + 10) (s2 + 0.1s + 2)G₂(8)10(s + 3)s(s+ 100)1(0.4s + 1)(s + 1)(1)(2)G3(s)a) Sketch the asymptotic Bode diagram for the transfer functions G₁, G₂ and G3.b) Give the resonant frequency w, and the magnitude peak Mpw at w=wr for the secondorder portion of the system G₁(s). Give a better approximation for the Bode diagram ofG₁(s) using the provided semi-log paper.(3)

Given Data: G1(s)=10(s+1)(s2+0.1s+2)G2(s)=10(s+3)s(s+100)G3(s)=1(s+1)(0.4s+1)) To Find: (a) Bode…

Consider the following transfer functions G₁(s) = 10 (s + 10) (s2 + 0.1s + 2) G₂ (8) = G3(s) = 10(s + 3) s(s+ 100) 1 (0.4s + 1)(s + 1) (1) (2) (3) a) Sketch the asymptotic Bode diagram for the transfer functions G₁, G2 and G3. b) Give the resonant frequency w, and the magnitude peak Mpw at w=w, for the second order portion of the system G₁(s). Give a better approximation for the Bode diagram of G₁(s) using the provided semi-log paper.

Consider the following transfer functions G₁(s) = 10 (s + 10) (s2 + 0.1s + 2) G₂ (8) = G3(s) = 10(s + 3) s(s+ 100) 1 (0.4s + 1)(s + 1) (1) (2) (3) a) Sketch the asymptotic Bode diagram for the transfer functions G₁, G2 and G3. b) Give the resonant frequency w, and the magnitude peak Mpw at w=w, for the second order portion of the system G₁(s). Give a better approximation for the Bode diagram of G₁(s) using the provided semi-log paper.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

₂) Find transfer Function you b₂ X₂² X₁ (s) F(S) m2 Ţ f(t) and bx xxx k mij √x₁ X2 (5) F(S)
(a) Consider following differential equation. d³y d²y d³x d²x dx +6,+ 8x dt2 dt dy +3- +5 +y = +4- dt3 dt² dt dt3 Find the transfer function of S) X(s)' i)
Convert the Transfer Function into Differential Equation. (s – 1)'s (s2 + 1)2s2 R(s) C(s) Convert the Differential Equation into Transfer Function. d³b 5d²b 4b 2df -8f dt dt3 dt2
EXAMPLE -- Consider the following transfer function: B(s) 2 + 5 + 3s + 6 + 65+ 11s +6 A(s)
sole using laplace transforms Do not answer in image format
Homework Consider the following transfer functions. Determine 1. Whether the transfer function is proper or improper 2. Poles of the system 3. zeros of the system 4. Order of the system a) b) (s +3)² s(s² +10) S G(s) = G(s) = (s+ 1)(s + 2)(s +3)
A first-order dynamic system is represented by the differential equation. 5x (1) + x(t) = u(t). The corresponding transfer function is: O O G(s) = G(s) = 10 1+5s G(s) = s+5 O None of the above O 1+5s
Quiz E Reduce the Block Diagram shown in Figure to a single transfer function, T(s) = C(s)/R(s) G3(s) R(s) C(s) G1ts) G2ts) G4(s) H(s)
1. Consider the following square matrix A = 9 6 (a) Determine the eigenvalues and eigenvector(s) of A. (b) Find the modal matrix M and diagonalize A through similarity transformation M 'AM. do we get a Jordan form or not? Explain why?
5. Determine the validity of a second-order approximation of the system below: 450 / [(s +9)*(s² + 3s +70)]. If valid, give the approximation.
2) Consider the transfer function of a system below. Please find the range of K for stability: K G(s) = (s + 3)(s + 8)(s + 10)(s + 1) + K
Consider the following rotational mechanical system, a. Apply the "by inspection" method in Laplace domain to write the system of equations that represents the dynamics of the system b. Solve for the output variable q1(s). Use Cramer's rule or the substitution method to solve for the output variable q1(s). c. Give the transfer function G(s) = 91(s)/T(s) 0₁ (1) T(1) J1 82(1) oför J2 oooo K₁ K2 oooo D