2.1 Pre-work 1. Given a control input u and a plant G, draw the open loop...
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Disturbance D(s) Reference Control Output Input Error Input t US) Y(s) Plant Given the above closed loop block diagram: Let aundl s) KK (a) Show that the above system will have zero steady state error for step reference input (when D(s)-0) as well as for step disturbance input (when R(s)-0). (b) LetJ B K1 and Kp0, what about the stability of the closed loop system?
Disturbance D(s) Reference Control Output Input Error Input t...
The Class Name is: MAE 318 System Dynamics and Control I
Problem 1: Steady-state error analvsis (a) A block diagram of a feedback control system is given below. Assuming that the tunable constant Khas a value that makes this closed-loop system stable, find the steady-state error of the closed-loop system for (a a step reference input with amplitude R, r(t)- R u(t) (ii) a ramp reference input with slope R, r(t) = Rt-us(t) R(s) Y(s) (s+2)(s +5) (b) A block...
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Given the following open loop plant: 48 G(s) s +2) (s+4)(s +6) (a) Design a state feedback controller to yield a 20% overshoot and a settling time of 1 second (2%). Place the third pole 10 times farther from the imaginary axis than the dominant pole pair (b) Determine the pre-filter constant N needed to reduce the steady-state error to a unit step input for the closed-loop system. (c)...
Problem 1 Open-loop tersus Closed-loop control: Consider a first-order system Σ' with inputs (d,u) and output y, governed by Z(t) y(t) ar(t1+hd(t)+5a1(t), cr(t) = = (a) Assume Σ is table (ie, a < 0). For Σ, what is the steady-state gain fron u to y (assuming d 0)? What is the steady-state gain from d to y (assuming t. 0)? These are the open-loop steady-state gains. Call these SSGy and SSGgby respectively (b) Σ is controlled by a "proportional" controller...
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design the simplest output feedback (20 pts)
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design the simplest output feedback (20 pts)
Report task. A standard closed-loop control system is shown in Figure 6. Classify the different components and signals of the electronic compass system in the control engineering terms used in Figure 6, i.e. which components represent the controller, which the plant, what is the output signal, what the actuation signal. Reference Control Actuation Output error Controller signal Pant signal Y (s) value R(s) + U(s) E(s) K (s) G(s) Measured output signal Y (s) H(s) Measurement Figure 6: Basic control...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block diagram. G(s) is the open-loop transfer function, and the controller is a gain, K. 1. (20) Calculate the open-loop transfer function tar →Q--t G(s) (10) Calculate the steady-state error to a step input of the open-loop system. 7. (in Bode Form) from the Bode plot. (10) Calculate the shortest possible settling time with a percentage overshoot of 5% or less. 8. 2. (10)Plot the...
Question 4 A control system is shown in Figure 3, where Ge(s) is the controller, R(s) is the setpoint temperature, Tw is the measured water temperature, Ta is the ambient temperature and u(t) is the rate of heat supplied to the heater. The mathematical model of a simple thermal system consisting of an insulated tank of water is given by: dTW = c(1, - Iw) +u dt where c is the heat insulation coefficient. Heater Water R(s) Ta Gc/s) u(1)...
Question 32 For the open-loop control system described by the block diagram shown below, determine the value of K such that s.s. - 50 when R(s) is a unit step input Controller Process s +1 53 +50s2 - 68 + 20 Y(s)