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QUESTION a) With appropriate diagram explain the following compensator arrangements i. Cascade ii. Minor Loop Feedback...
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...
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...
Problem 4. The open-loop transfer function of a unity feedback system is 20 G(s) S+1.5) (s +3.5) (s +15) (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 closed-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 than...
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...
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%.
A robot force control system with unity feedback has a loop transfer function [6 7.11 Tood transfer function (6l K(s +2.5) (s2 + 2s 2) (s2 + 4s + 5) (a) Find the gain K that results in dominant roots with a damping ratio of 0.707. Sketch the root locus. (b) Find the actual percent overshoot and peak time for the gain K of part (a) A robot force control system with unity feedback has a loop transfer function [6...
Problem 5: Suppose that you are to design a unity gain feedback controller for a first order plant. The plant and controller respectively take the form ,s+ p where K> 0, p. z are parameters to be specified. (a) Using root-locus methods, specify some p and z for which it is possible to make the closed-loop system strictly stable. Include a sketch of the closed-loop root locus, as well as the corresponding range of gains K for which the system...
Nip rolls Bridle Surface winder Center-driven feedback Figure 5 Question 2 (20 marks) The feed forward transfer function of an automated manufacturing process is given by K(s + 3) where K is the proportional controller gain. The root locus is shown in Figure 6 a) Determine the range of values of K for which the closed loop system will exhibit an (10 marks) oscillatory response. b) Determine a value of K that gives a damping ratio,-0.707 and a settling time,...
1. Using the MATLAB rltool command (or rlocus and rlocfind), plot the K > 0 root locus for What is the value of the largest damping ra- 2+2s+1 s(s120)7,7 -2,12). 1 + KL(s) = 0, where L(s) = tio associated with the pair of complex poles? At which value of K is it achieved? Turn in a printout of your plot showing the location of the poles on the damping ratio line that you found. 2. Suppose the unity feedback...
1. Given the unity feedback system, where K(s+1(s 2) 1)(s-4) G(s) do the following: (a) Find the root locus form. (b) Sketch the root locus. (c) Find the value of K such that the system is stable. (d) Find one value of K such that the closed-loop has a settling time less than or equal to 4 second and the percent of overshoot is less than or equal to 10 with the aid of MATLAB 1. Given the unity feedback...