Q4. The feedback system shown below has a plant, a controller, and sensor transfer functions as...
Consider a plant with transfer function 5- Gp(s) = s2 Design a proper compensator Gc(s) and a gain p for the feedback system shown below so that the resulting system has all poles at s=-2, and the output C(s) will track asymptotically any step reference input R(s). Find the resulting overall transfer function T(s) R(s) Consider a plant with transfer function 5- Gp(s) = s2 Design a proper compensator Gc(s) and a gain p for the feedback system shown below...
Implement a PID controller to control the transfer function shown below. The PID controller and plant transfer function should be in a closed feedback loop. Assume the feedback loop has a Gain of 5 associated with it i.e. . The Transfer function of a PID controller is also given below. Start by: 6. Implement a PID controller to control the transfer function shown below. The PID feedback loop has a Gain of 5 associated with it i.e. (HS) = 5)....
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s) Sensor H(s) IMs) Sensor noise where the input and transfer functions are given as follows: R(s) = –,7,(s) = 0, N(s) = 0, G, - 15,6, -_- , and H(s) = 1. s's + 3) a. Derive the system transfer function Y(s)/R(s) = G,, poles, $, On, and, from the response function y(t), the performance measures: rise time Tr, peak time Tp, percent overshoot...
A uncompensated (un-controlled) feedback system with and plant transfer function are shown below. Design a PI controller that you could add that will drive the steady-state error to zero for a unity step reference, and operate with a damping ratio of 0.5. Provide the resulting %OS, and 2% settling time. You must show the analytical process and all steps you took to design your controller. Use MATLAB/Simulink to simulate the system and your feed-back controller for a unity step input...
An automatic feedback control system is shown below. G(o), H(o), and Gc(o) are such that G(s) H(s) = +1 1 = unction Gcu(s) relating Y(9) to R(s) (b) What is the system order? (c) If Tp(s) = 0, in terms of K and τ determine what value(s) of K, (if any) will result in an undamped closed-loop system Td (s) Y (s) PID R(s) Gc (s) Plant G(s) Sensor H(s) An automatic feedback control system is shown below. G(o), H(o),...
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 1. For the figure shown below: U(s) 10 s+5 Controller Plant s+ 1 Sensor a) b) Obtain a state-space model of the system Obtain all transfer function of the system using the following equation: G(s) -C(sI - A)B + D
Question 4 (a) A feedback control system with a proportional controller is shown in Figure Q4 (a). (i) Sketch the root locus of the system, (ii) Design the proportional controller (choose the value of K) such that the damping ratio does not exceed 0.5 and the time constant is less than 1 second. [All necessary steps of root locus construction and controller design must be shown). C(s) R(S) + s(s+4)(s + 10) Figure Q4 (a). A feedback control system [11...
For the given system above, determine the gain K that will give the system desired response below: Settling time of 5 seconds Peak time of 0.5 seconds The given plant has a transfer function of: Gp = (s + 4)/( (s + 1)*(s + 3) ) The controller has a transfer function of: Gc = (s+27.75)/s QUESTION 2 10 points Save Answer Y(S) R(s) Gc(s) Gp(s) For the given system above, determine the gain K that will give the system...
Problem 4 (30%) The system given in the diagram shows a typical control system where the system that represents the process to be controlled is called Gp(s), the controller itself is Gc(s) and the measurement system is H(s). The signals in the diagram are the input (desired repsonse) R(s), the output to be controlled Y(s), the system distrubance T(s) and the measurement noise N(s). Let's assume that the transfer function for the measurement is H(s)1 and that a good approx...