For xin(t)=1(t) and D(t)=0, find xout(t) and sketch it using s-plane technique
Find final value of the closed loop control system output xout(t)! Find e(t), and sketch it using s-plan technique control system.
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For xin(t)=0(t) and D(t)=1, find xout(t) and sketch it using s-plane technique Find final value of the closed loop control system output xout(t)! Find e(t), and sketch it using s-plan technique control system
pls answer dont just copy other solution or ur catching a dislike Q. 1 (5 marks) For the system in Fig. (a). Assume proportion control, Gc(s)-K, sketch the root locus for the closed-loop system (b). Using the angle condition, prove that s12 +j2 is not on the root locus. (c). Design a lead compensator Ge(s) - K such that the dominant closed-loop poles are located at s1--2 2. (d), What are the zero and pole of lead compensator G() (e)....
Q. 1 (10 marks) For the system in Fig. 1 (a) Assume proportion control. Ge(s) = K. sketch the root locus for the closed-loop system (b). Using the angle condition, prove that s1 =-2 +j2 is not on the root locus. (c). Design a lead compensator such that the dominant closed-loop poles are located at s-2tj2. (d). What are the zero and pole of lead compensator Ge(s)? (e). With Ge (s) has the zero and pole found in (c), sketch...
Control System 3) Consider the simplified form of the transfer function for position servomechanism used in an antenna tracking system as shown in Figure Q3. By using root locus technique: Error Els) C(s) R(s)+ s2 +4S +5 2.56S +12.8 Figure Q3 (a) Sketch its root locus (11 marks) (b) Find the value of K so that the damping ratio 0.342, and give all closed loop poles for the value of K. (9 marks) 3) Consider the simplified form of the...
A closed-loop control system has Gc(s) = 10, G(s) = (s+50)/(s^2+60s+500), and H(s) = 1. a) Find the transfer function Y(s)/R(s). b) Plot the pole-zero map of the transfer function. c) Find the response y(t) to a unit step input. d) Find the steady-state (final) value of the output.
Problem 51: (25 points) Figure 5 is an example of a feedback control system that is designed to regulate the angular position θ(t) of a motor shaft to a desired value θr(t). The signal e(t) represents the error between the measured shaft angle θ(t) and the desired shaft angle θ (t). The Laplace transforms ofa,(t), θ(t), and e(t) are denoted as ΘR(s), θ(s), and E(s), respectively. The control gains Ki and K2 are chosen by the control engineer to achieve...
Question 3 Consider an adaptive control system plant, k is the adaptive control gain, t is time and s is the Laplace variable time-varying parameter of the shown in Figure Q3, where a is a as У() r(t) G(s) a e(t) k s(s+1) Figure Q3 The gain k is adaptively adjusted so that the closed loop system has the transfer function of a desired model 1 M(s) +1 i.e. the plant output y(t) follows the model output ym(t) = M(s)r(t)...
Problem 2 and 3 A simplified model of a magnetic levitation system has the dynamic model 1 2 (a) Find the transfer function G(s) of the system. (b) Find the poles and zeros of the system. (c) The plant is unstable. Explain why Problem 2 The plant in Problem 1 is to be stabilized by use of "proportional plus derivative" control: U(s)-(Kis + K2)Y(s) Find and sketch the region in the Ki, K2 plane for which the closed loop system,...
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...
Problem 1 An inverted pendulum driven by a d-c motor is governed by the following differential and algcbraic equa tions: (a) Determine the transfer function of the process. (b) It is proposed to control the process using "proportional control": where yr is a constant reference value. Determine the value Kmir for which the gain K must exceed in order that the closed-loop system be stable. (c) Determine the value of K for which the magnitude of the error is less...