Determine poles and zeros of transfer function H(S) = 2(3-3) 52 +55+6 Zero: -3; Poles: -2...
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the transfer function T(s) and sketch Bode plots for the magnitude and phase, ˇ 1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω=...
(1 point) Consider the following transfer function: H(s)-081025L 84-143s3+6810s2-117896s+436480 Part 1: Number of Zeros and Poles How many zeros are present in the transfer function? 2 How many poles are present in the transfer function?4 Part 2: Critical Frequencies Find the poles and zeros of the transfer function. Enter them in ascending order from left to right: Zeros Poles
4. Determine the transfer function, poles and zeros, and stability of the system represented by the following difference equation: y[n] = -1.5y[n-1] + y[n-2] + x[n] Answers:H[z]= 1/(1+(1.5z^-1) - (z^-2)); poles at z = -2, 0, 5; zeros at z=0; unstable
3. (10 pts) Find the poles and zeros of the following function and sketch them in an s-plane. ?(?) = 6?? + 7? + 2 6(?? + 9? + 14)(2? + 1) 3. (10 pts) Find the poles and zeros of the following function and sketch them in an s-plane. 6s2 + 7s + 2 H(S) 6(52 + 9 + 14)(2s + 1)
Express each complex function in pole-zero form. Determine its poles and zeros and the multiplicity of each. 1.13. H(s) = .
For the following systems, find the transfer function using MATLAB. Also, determine the poles and zeros of each transfer. You should be able to use some combination of the following MATLAB functions: 'ss2tf( )', 'ss( )', 'tf( )', 'pole( )', "zero( )', and 'roots() 100 ).y) = [0_1)|) 2 a. |x2(t)] -10 [x1 (t lx20 21 b. + 01 x1 (t) 0 x2(t) 1 u(t), y(t): ol]x3(t)] [(t)] x2(t) 3(t) [x1 (t)] [o 0 1x2(t) [x3(t)] -4 -2 0 2...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the poles and zeros b) indicate the poles and the zeros on the s-plane indicate the region of convergence (ROC) c) write the differential equation of the system. d) determine the gain of the system at dc (ie the transfer function at w=0) e) is the system described by H(s) stable? explain f) for the system described by H(s), does the Fourier transform H(jw) exist?...
Given h(t)=(e-t+e-3t)u(t) find: A) The transfer function H(s). B) The locations of all poles and zeros. C) Determine if the system is stable or not D) Find the differential equation for this system.
Solve the following using MATLAB: 3. Consider the transfer function: H S ) = 6 2s2 + 6s 2s4 + 8 s +3 .4 L + 3 a) Write lines of code to find the zeros and poles of the above transfer function. b) Write lines of code to find a partial fraction expansion of the above transfer function.
Theroot-locus design method (d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angles. the break-away or break-in points, the angle of arrival or departure for the complex poles and zeros, respectively, and the range of k for closed-loop stability 5 10ん k(s+21 (d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root...