solution:
please like this ..its help me to write more questions..thank you..
r[n] + K(z) D/A with ZOH G(s) A/D Here the sampling period T = 0.5 sec...
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...
2. (30%) In the following system, tn A/D ZOH tipl = u(nT), yin] = y(nT), T = 2 sec, and P--2 0 Find the ZOH-equivalent discrete-time system in state-space form).
4. (25 points) Consider a sampled data system shown in the following figure, wherein the transfer function of the y (t) r*(t ZOH Process zero-order hold, and the process are given by 2s +1 Go(s) =--s G(s) = There parameter a is some real number, and T is the sampling time. (a) (15 points) Determine the discrete-time transfer function G(z). 4. (25 points) Consider a sampled data system shown in the following figure, wherein the transfer function of the y...
Y(z) c(t), C(s) r(t), R(S) + - et), E(S) E*(s), Ez To- D(z) G (s) = (1-e-STºys H(s) 32. If the system above has Y(z)R(z)= 1+z), and if the input is the unit step r(t)=u(t), then the signal y[n]= u[n]-e-Tou[n-1) | u[n]+u[n-1] a) c) u[n] + u[n-1) d) none above 33. If the system above has Y(z)/R(z)= 1+z), the dc gain of the system is C(z)/R(z)= b) 1/2 c)2 d) none above a) o 34. If the system above has...
2 In the block diagram below, G(s) -1/s, P(s)P(s) s-+2 s+2 D(s)- k-oo Ше-ks[1-e-s/1001. The inverse Laplace transforms of these equations are g(t), p(t),p(t), and d(t), respectively. The parameter K scales the feedback k-0 D(s) R(s) G(s) P(s) C(s) P(s) A Consider for a moment, D(s)- 0. Simplify the block diagram in terms of G(s), P(s), P(s) and find the transfer function by substituting the equations given above B What are the zeros and poles of the system you obtained...
Problem 2 Wis) R(s) U(s) Gol (s) D a (s) E(s) H(s) Given a system as in the diagram above, use MATLAB to solve the problems: Assume we want the closed-loop system rise time to be t, 0.18 sec S + Z H(s) 1 Gpl)s(s+)et s(s 1) s + p a) Assume W(s)-0. Draw the root locus of the system assuming compensator consists only of the adjustable gain parameter K, i.e. Dct (s) Determine the approximate range of values of...
20 points] Q1. The Stately State Transition Matrix, Ф 16 2 3 13 Consider a state transition matrix, Ф, for a SISO LTI system A1. A- 5 11 10 8 9 76 12 Please determine and justify: (a) Ф(t) for this system A 4 14 15 1 ] (b) Ф(s) for this system A (c) System A's characteristic polynomial (d) Ф(z) for this system A via Tustin's method (ie, trapazoid-rule) (e) A difference equation assuming: (1) a step input at...
Consider the unity feedback system shown below R(s) C(s) Gp(s) 5(s+6 with G,(6)(s +2)(s+25) You are given that s+27s +55s+30 is a stable polynomial. a. What is the system type? For the questions below (in this Problem), set K-1 b. Determine the error constants Ko, K, and K, (also known as K,K, and K, c. Determine the steady-state errors eo, ei, and e2 (also known as epey, and e.) d. What is the steady-state error if the input is 5tu(t)?
2. (a) For each sample of a discrete time signal x[n] as input, a system S outputs the value y[n- . Determine whether the system S is i. linear ii. time-invariant 1ll. causal iv. stable Each of your answers should be supported by justification. In other words, show your reasoning (b) Consider a stable linear time-invariant (LTI) system with transfer function H(z). It is required to design a LTI compensator system G(z) that is in cascade with H(z) such that...
(30%) Consider a system with the transfer function Y(s) s+6-k (a) Determine the range of parameter k so that the system G(s) is stable. (b) Determine the value of k for which the system becomes marginally stable. (c) Assuming parameter k has the value in part(b) and hence the system is marginally stable, find a bounded input r(t) that results in unbounded output y(t). For this part, specifying the bounded input signal r(t) and a justification is enough Finding v(t)...