4. (25 points) Consider a sampled data system shown in the following figure, wherein the transfer function of the y (t)...
Q2 (a) Consider the control system shown in Figure Q1 (a). Obtain the closed-loop transfer function of this system and by using MATLAB obtain the unit step response of this closed loop system - R(S) c(s) 36+1) (s + 1) Figure Q2 (a) (b) A sampler and a zero-order hold element were inserted into the system in Figure Q1(a) as shown in Figure Q1(b). Obtain the closed-loop pulse transfer function of this system and by using MATLAB or otherwise, obtain...
Consider the sampled data system Zero-order hold Hant R(s) Y(s) Gols) s) where Gp (s) The closed-loop transfer function T(z) of this system with sampling at T 1 second is T(2)0.8964 T (z) T(2) 0.4323 T (z)- z 1.2642 1.2642 20.8964 2 0.297 0.297 z0.4323
Problem 30 (15 points) Consider the closed-loop sampled-data system in Figure 6 that uses a sample period of 600 ms. The pulse transfer function of the continuous-time plant is Ge)- 0.04147 z-0.7408 while Ge(2) is the transfer function of a discrete-time compensator. E(Z)G.(2) Figure 6: Closed-loop sampled-data system with compensator Ge() I. (5 points) Is it possible to achieve a steady-sate error ess- 0.05 for a unit-step input r(k) = uo(k) using proportional feedback Ga(z) = K? If yes, derive...
Give me the explanation plz 2. a) A digital controller implementation for a feedback system is shown in Figure 2 where the sampling period is T0.1 second. The plant transfer function is s +10 P(s) = and the feedback controller, K, is a simple proportional gain (K>0).v R(z) E(z) S+10 Controller ZOH Plant Figure 2* i)o In order to directly design a digital controller in the z-domain, the plant P(s) 6. needs to be discretised as P(z). Find the ZOH...
the subject is in digital signal processing 5. Consider a CT system with transfer function This system is called an integrutor because t by he d to the ingent t y)-x(r)dr. Discretize the above system using the bilinear transform. (a) What is the transfer function H'(:) of the resulting DT system b) If xin] is the input and yin] is the output of the resulting DT system, write the (c) Obtain an expression for the frequency response H'(o) of the...
Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (10s+1)(4s+ 1)(s +1) (a) Find an approximate transfer function of first-order-plus-time-delay form that describes this process (b) Determine and plot the response y(t) of the approximate model, obtained in part (a), for a unit ramp using Skogestad's "Half Rule"; change in u(t) (U(s) Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (10s+1)(4s+ 1)(s +1) (a) Find an approximate...
you can use matlab to solve 1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of the unity feedback system c) The appropriate sampling time d) G(z) pulse transfer function e) Continuous State Space, A, B, C, D f) Discrete State Space, A, B, C, D 1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of...
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...
Problem 11: Discretization of a Continuous-Time Filter Consider the continuous-time system with transfer function Hc(s) A discrete-time approximation to the system using the [16, -8 two's complement representation scheme is to be designed (A) Using Tustin's approximation, determine a discrete-time approximation with transfer function (B) Determine the poles and zeroes of Hd,Tustin(z), noting that the poles are complex conjugates (C) Plot the frequency responses of Hd,Tustin (2) and of Hd.eract (z) Hd, Tustin (z) using the sampling time 1 ms....
(25 points) Using Mason's rule, find the transfer function, T(s) = C(s)/R(s), for the system represented by the following figure. 636) R(S) a G) Gz(s) Gs(s) H(s) Hz(s) Hz(s) The transfer function is: T(s) = 1 help (formulas)