QUESTION 1 A system has a characteristic polynomial as s* + 2s + 4s- tas +...
(i Write down a matrix A that has characteristic polynomial A1. 3 4s 7 (ii) Find (sI - A)-1 otherwise introduce a SISO system (A, B,C, D) that has transfer function (iii) Hence or 382 6s 1 T(s) g324s+7 You should verify that 12] T(s) DC(sI - A)-1B (i Write down a matrix A that has characteristic polynomial A1. 3 4s 7 (ii) Find (sI - A)-1 otherwise introduce a SISO system (A, B,C, D) that has transfer function (iii)...
A. Consider the characteristic equations below, comment on their system stability? 1. D(s)=s4 +253 +852 + 4s + 3 2. D(s)=s5 +54 +353 +352 + 6s + 4 B. Find the range of values of K for the closed loop system to remain stable? R(s) C(s) K s(s? +5 +1)(8+3)(s+4)
KKKM3473/KKKM3314/KKKM3344 The characteristic polynomial of a feedback control system is given by 5. where K>0. Determine the range of values of K for which the system is stable. (10 marks) The closed loop poles of a second order system are located at points -3.5+1.5t and 6. -3.5-1.51 on the complex plane. Calculate the damped natural frequency, ωd. (10 marks) 7. The Bode plots for a first order dynamic system is shown in Figure 3. Estimate the magnitude and phase when...
Will leave positive reviews 3. (25 marks) A system has a characteristic polynomial 45 +20s49 101s2 +2s +24 Using the Routh-Hurwitz criterion, determine the number of poles in the left half plane, the number on the jw-axis and the number in the right half plane.
please do part D only the matlab. thank you 3. Consider the following system s(s2 +4s 13) (a) Draw the root locus. b) Use Routh's criterion to find the range of the gain K for which the closed-loop system is stable. (continued on next page) (c) The range of K for which the system is stable can also be obtained by finding a point of the root locus that crosses the Imaginary axis. When you have an Im-axis crossing, the...
find L^-1 {4s/s^2 + 2s -3} 4s Find L s2 + 25 - 3 5 -3t (write 5/6 by 6' , e^{-3t} bye and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t) Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. a. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer. 2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t)...
Find the characteristic polynomial and the eigenvalues of the matrix. 3 1 -15 The characteristic polynomial is (Type an expression using à as the variable. Type an exact answer, using radicals as needed.) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The real eigenvalue(s) of the matrix is/are (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed. Type each answer only once.) OB. The...
QUESTION 1 17 marks] Consider the following system: K(s 5) S+ 2 (s - 1)(s + 4) where K 2 0. Use any method to determine all values of K (if any) that result in a stable closed-loop system. QUESTION 1 17 marks] Consider the following system: K(s 5) S+ 2 (s - 1)(s + 4) where K 2 0. Use any method to determine all values of K (if any) that result in a stable closed-loop system.
determine inverse Laplace transform of a-c 10s (a) (s + 1)(s + 2)(s + 3) 2s+ 4s + 1 (b) (s + 1)(s + 2) s +1 (c) (s + 2)(s? + 2s + 5)