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Problem 4 Consider a unity (negative) feedback system whose open-loop transfer function is given by K(s+1)(s+2) G(s): s(s +10) Assume K = 1. (a) What is the type of the system? (b) Find static position error constant Kp, static velocity error constant Ky and static acceleration error constant Ka (c) Find the steady state-error of the system for following each of the following inputs. (i) (!!) t³ 1(t) (t+2) 1(t) (d) Find the range of K, for which steady-state error of the system for ramp input will be less than 0.05?

Problem 4 Consider a unity (negative) feedback system whose open-loop transfer function is given by K(s+1)(s+2) G(s): s(s +10) Assume K = 1. (a) What is the type of the system? (b) Find static position error constant Kp, static velocity error constant Ky and static acceleration error constant Ka (c) Find the steady state-error of the system for following each of the following inputs. (i) (!!) t³ 1(t) (t+2) 1(t) (d) Find the range of K, for which steady-state error of the system for ramp input will be less than 0.05?

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.3P
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Problem 4 Consider a unity (negative) feedback system whose open-loop transfer function is given by K(s+1)(s+2) G(s): s(s +10) Assume K = 1. (a) What is the type of the system? (b) Find static position error constant Kp, static velocity error constant Ky and static acceleration error constant Ka (c) Find the steady state-error of the system for following each of the following inputs. (i) (!!) t³ 1(t) (t+2) 1(t) (d) Find the range of K, for which steady-state error of the system for ramp input will be less than 0.05?
Transcribed Image Text:Problem 4 Consider a unity (negative) feedback system whose open-loop transfer function is given by K(s+1)(s+2) G(s): s(s +10) Assume K = 1. (a) What is the type of the system? (b) Find static position error constant Kp, static velocity error constant Ky and static acceleration error constant Ka (c) Find the steady state-error of the system for following each of the following inputs. (i) (!!) t³ 1(t) (t+2) 1(t) (d) Find the range of K, for which steady-state error of the system for ramp input will be less than 0.05?
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