Consider the sampled data system Zero-order hold Hant R(s) Y(s) Gols) s) where Gp (s) The...
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...
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...
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...
Problem 2 (50 pts): Consider the unity-feedback system: R(2) E(z) Y(2) K G(2) 2 G(2) = is the transfer-function of the plant and zero-order hold. (2 – 1)(z – 0.2) a) (5 points) Find the closed-loop transfer-function Hyr(2). b) (5 points) Find the characteristic polynomial. c) (20 points) Determine the range of K for closed-loop stability.
control system with observer Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measured output. 1. Find the transfer function of the system. 2. Design a state feedback controller with a full-state observer such that the step response of the closed loop system is second order dominant with an overshoot Mp settling time ts s 5 sec. Represent the observer-based control system in a compact state space form. 10%...
help Consider the closed-loop system in Figure E5.19. where Gs)G 3s and H(s) -K (a) Determine the closed-loop transfer function T(s) Y(s)/R(s). (b) Determine the steady-state error of the closed-loop system response to a unit ramp input, R(s) 1/s (c) Select a value for Ka so that the steady-state error of the system response to a unit step input, R(s)1/s, is zero.
NEED HELP WITH 3! 2. Consider a system with an open-loop transfer function Gp(s)Plot the poles of this system (by hand) for the following values of〈 and an (a) wn 2 rad/s, 0,0.2,0.4,0.6,0.8, 1), plot the poles in bold x' markers (b) Ç-07, an-(1, 2, 3,4) rad/s, plot the poles as 4" markers Note your observations 3. For the system in 2) above, plot the poles (by hand) of the closed loop controller with Ç-07, an-2 with the control gain...
Consider a mass-spring-damper system (i.e., the plant) described by the following second-order differential equation where y represents the position displacement of the mass. Our goal is to design a controller so that y can track a reference position r. The tracking error signal is then et)(t). (a) Let there be a PID controller Derive the closed-loop system equation in forms of ODE (b) Draw the block diagram of the whole system using transfer function for the blocks of plant and...
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...
answer 3 and 4 please Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m 1,b 2,k 2. 3. a. Write down the transfer function of the system b. Choose a sample time for the system c. Find the pulse transfer function (use MATLAB 'c2d' command) d. Find the range of K for stability for the closed-loop sampled-data system 4. Consider a series RLC circuit driven by a voltage source with capacitor voltage as output....