8.3. For the transfer function H(s) = find s2+2' (a) an uncontrollable realization, (b) an unobservable realization, (c) an uncontrollable and unobservable realization, (d) a minimal realizat...
it(s) -5 v(s) (a) Develop a state space model (b) Is the realization controllable? Observable? (c) For the value(s) of a and k for which the system is uncontrollable or unobservable, give a minimal realization of the system.
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the pole-zero plot of the transfer function. b) Show all possible ROC's associated with this transfer function. c) Obtain the impulse response h(t) associated with each ROC of the transfer function. d) Which one (if any) of the impulse responses of part c) is stable? 2. The transfer function of a CT LTI system is given by H(s) (s2...
Problem 4: Given the transfer function, 25pts 25 H(s) S2+6s 25 (a) (b) (c) Fi Find Please put the units. Find the poles of the system. Is this system overdamped, underdamped, the settling time, peak time, percent overshoot, and rise time. undamped or critically damped. Explain. nd the state space representation in phase variable form of the above transfer function H(s)
For an LTIC system described by the transfer function H (s) = s2 +5s+4 find the response to the following everlasting sinusoidal inputs (a) 5cos (2t +30°) (b) 10sin (21 +459) (c) 10cos (3t +40°)
1. Given the open-loop transfer function G(s)h(s) find the asymptotes, (b) find the breakaway points, if any, (c) find the range of K for stability and also the ju-axis crossing points, and (d) sketch the root locus. (20 points) K/Ks+1)(s+2)(s+3)(s+4)) where 0 s K < 00, (a) K/[s(s+3)(s2+2s+2)] where o s K < o, (a) locate the For the open-loop transfer function G(s)H(s) asymptotes, (b) find the breakaway points, if any, (c) find the jw-axis crossing points and the gain...
Prob.2. (4pts) Obtain a parallel realization for the following transfer function Obtain a parallel realization for H(z)2 (2z-1) '(3z - 0.75)
question b or the control system in Figure 1: C(s) Find the closed-loop transfer function T(s)-- R(s) a) b) Find a value of Kp that will yield less than 15% overshoot for the closed-loop system. (Note: ignore the zero dynamics to calculate Kp initially). c IIsing vour K from nart h) write a MATI AR scrint that calculates the closedloon Motor Plant R(s)+ C(s) Controller 10 Kp (s+9) s2 +6s15 12 Figure 1: Unity feedback with PD control or the...
4.8.2 For an LTIC system described by the transfer function H(s) = + 2) find the steady-state system response to a. 10u(t) b. cos (2+ + 60°) (1) c. sin (3 - 45")u(t) d. e3 u(t)
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?...
For the transfer function G(s): 50 G (s) = s2 +55+25 a) Find the steady-state response to a unit step input. b) Find the steady state error. c) Sketch the time response.