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Problem 1 The following transfer functions are given for a single-loop unity- feedback (H(s)-1) and nonunity-...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s +...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s + (a) Find the breakway and entry points on the real axis. (b) Find the gain and the roots when the real part of the complex roots is located at -2 (c) Sketch the root locus. Problem 4 The forward path G(s) of a unity feedback system with input R(s) and output Y (s) is given by G(o) 106I) (a) What is the type of...
A unity feedback system with the forward transfer function G(s)=K/(s+1)(s+3)(s+6) is operating wi...
A unity feedback system with the forward transfer function
G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step
response that has 15% overshoot. Do the following:
a) Evaluate the steady-state error for a unit step input
b) Design a PI control to reduce the steady-state error to zero
without affecting its transient response
c) Evaluate the steady-state error and overshoot for a unit step
input to your compensated system
A unity feedback system with the forward transfer function G(s) is operating with...
PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with...
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.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-...
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with...
E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b)...
E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the relationship between the steady-state error to a ramp input and the gain K and system pa- rameter b. For what values of K and b can we guaran- tee that the magnitude of the steady-state error to a ramp input is less than 0.1?
E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with ...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G (s) =...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root lo...
[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)...
A unity feedback system is shown in Fig. 1. The closed-loop transfer function ?(?) of this...
A unity feedback system is shown in Fig. 1. The closed-loop
transfer function ?(?) of this system is given as
?(?)=?1?4+2?3+(?2+1)?2+?2?+?1.
a) (20%) Using Routh-Hurwitz criteria, find expression (in
terms of ?1 and ?2) and range of value of ?1 and ?2 such that the
above system is stable.
b) (4%) It is desired to achieve steady-state error of less
than 0.3 with a unit ramp input. Find an additional constrain in
terms of ?1 and ?2 such that the...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s)...
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...
K and consider a PI s+4 A unity feedback system has an open loop transfer function G(s) [4] S+a controller Ge(s) S Sele...
K and consider a PI s+4 A unity feedback system has an open loop transfer function G(s) [4] S+a controller Ge(s) S Select the values of K and a to achieve a) (i) Peak overshoot of about 20% (ii) Settling time (2% bases) ~ 1 sec b) For the values of K and a found in part (a), calculate the unit ramp input steady state error
K and consider a PI s+4 A unity feedback system has an open loop...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s + (a) Find the breakway and entry points on the real axis. (b) Find the gain and the roots when the real part of the complex roots is located at -2 (c) Sketch the root locus. Problem 4 The forward path G(s) of a unity feedback system with input R(s) and output Y (s) is given by G(o) 106I) (a) What is the type of...
A unity feedback system with the forward transfer function
G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step
response that has 15% overshoot. Do the following:
a) Evaluate the steady-state error for a unit step input
b) Design a PI control to reduce the steady-state error to zero
without affecting its transient response
c) Evaluate the steady-state error and overshoot for a unit step
input to your compensated system
A unity feedback system with the forward transfer function G(s) is operating with...
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.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with...
E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the relationship between the steady-state error to a ramp input and the gain K and system pa- rameter b. For what values of K and b can we guaran- tee that the magnitude of the steady-state error to a ramp input is less than 0.1?
E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G (s) =...
[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)...
A unity feedback system is shown in Fig. 1. The closed-loop
transfer function ?(?) of this system is given as
?(?)=?1?4+2?3+(?2+1)?2+?2?+?1.
a) (20%) Using Routh-Hurwitz criteria, find expression (in
terms of ?1 and ?2) and range of value of ?1 and ?2 such that the
above system is stable.
b) (4%) It is desired to achieve steady-state error of less
than 0.3 with a unit ramp input. Find an additional constrain in
terms of ?1 and ?2 such that the...
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...
K and consider a PI s+4 A unity feedback system has an open loop transfer function G(s) [4] S+a controller Ge(s) S Select the values of K and a to achieve a) (i) Peak overshoot of about 20% (ii) Settling time (2% bases) ~ 1 sec b) For the values of K and a found in part (a), calculate the unit ramp input steady state error
K and consider a PI s+4 A unity feedback system has an open loop...
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