Problem 4. The open-loop transfer function of a unity feedback system is 20 G(s) S+1.5) (s +3.5) ...
Problem 4. The open-loop transfer function of a unity feedback system is: 20 (s+1.5)(s 3.5) (s 15) G(s) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications (b) Design a PID compensator for G (s) using root locus so that the clos ed-loop system satisfies the design specifications. Design specifications .SSE to a unit step reference input is less than 0.02. Overshoot is less than 20% Peak time is less...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain Kas a variable. s(s+4) (s2+4s+20) Determine asymptotes, centroid, breakaway point, angle of departure, and the gain at which root locus crosses ja-axis. A control system with type-0 process and a PID controller is shown below. Design the [8 parameters of the PID controller so that the following specifications are satisfied. =100 a)...
Problem 1: (20 points) Assume that a standard unity feedback system has the open- loop plant transfer function: G(S) s(s+3)(s +6) Use Root Locus Methods to design an analog compensator to meet the following specifications: • The step response settling time is less than 5 seconds. • The step response overshoot is less than 17%. • The steady-state error to a unit-ramp input is less than 10%.
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in the forward path. (a) Design a proportional controller that yields a stable system with percent overshoot less that 5% for the step input (b) Find settling time and peak time of the closed-loop system designed in part (a); (c) Design a PD compensator that reduces the settling time computed in (b) by a factor of 4 while keeping the percent overshoot less that 5%...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
urgent! II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s +1) G, (s) s(10s +D(0.1258 +D(0.05s +1)(0.02s +1) Design a phase lag-lead compensator that satisfies the following specifications must by the compensated system 1. The steady-state error for a unit ramp input must be 0.002; 2. The compensated phase margin must be approximately 48; must be approximately 25 rad/sec. II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s...
Problem (2) The open loop transfer function of a feedback system is given by к H (s) = 10 G(s) = ------ - s (s +1) (0.2 s+ 1) Design a controller such that the closed loop system will have a settling time less than 1.0 sec. and a percentage overshoot (PO) less than 5%. Draw the root locus plots of the uncompensated and compensated systems using Matlab.
PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with a closed-loop step response that has 15% overshoot. Do the following: a. Evaluate the steady-state error for a unit ramp input. b. Design a lag compensator to improve the steady-state error by a factor of 20. c. Evaluate the steady-state error for a unit ramp input to your compensated system. d. Evaluate how much improvement in steady-state error was realized.
Q1. Show analytically that the Root Locus for the unity feedback system with open loop transfer function: (a) [10 marks] K(s 4) (s + 2) is a circle, and find the centre and the radius. Determine the minimum value of the damping ratio and the corresponding value of K (b) The root locus of the open loop transfer function: [10 marks] s(s26s +15) is depicted in Figure Q1(b). Find the minimum value of gain K that will render the system...