7. In the following system C(s) 0.1s+1 a) What is the system type? b) What is...
2. Nise (9.3) For a unity feedback system with 10% OS: KG(s) Ts)- 1+ KGS) G(s) (s +2)(s +3) (s +7) NOTE: the 10% overshoot line is 126.16" with a 7-59. a. Find the K value of the system at 10% OS if this corresponds to a point on the root locus of s-1.87+j2.56 NOTE: use the fact that 1 + KG(6) -0 at all points on the root locus,so K -() convert your G(s) to a exponential magnitude to...
For each system shown in Fig. 3, find the following: 3. The system type a. The appropriate steady-state error constant The input waveform to yield a non-zero constant error The steady state error with input from Part c b. c. d. Page 1 of 2 0(s 10 C(s) R(s) s(s+2) (s+ 4) System 0(s10 R(s) C(s) s(s+2) (s) System 2 Fig. 3
1. Steady-State Error question Nise (7.13) For the system in Fig P7.4 find Kp, K,, Kg and state the system type 3) FIGURE P7.4 2. Nise (9.3) For a unity feedback system with 10% OS: KG(s) 1 +KG(s) NOTE: the 10% overshoot line is 126.16" with a (-59. a. Find the K value of the system at 10% OS if this corresponds to a point on the root locus of s-1.87+j2.56 NOTE: use the fact that 1 + KG(s)- 0...
Problem 1 For a unity feedback system with G(s) = 136+5), . Determine the system type. b. Find the steady state error for the following inputs: u(t), tu(t), 2t'u(t) 5+2 SERD Type 1
urgent!! II Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that: 1. The steady- state error with respect to a unit ramp input is no more than 0.01; 2. Phase margin is approximately 40 II Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that:...
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.
Motor Position Control with Torque Disturbance The following diagram models a motor position control system with torque disturbance. The motor transfer function from torque to position (when connected to a voltage source) is G(s) = 1/s(0.1s + 1). Problem 5-1: Motor Position Control with Torque Disturbance The following diagram models a motor position control system with torque disturbance. The motor transfer function from torque to position (when connected to a voltage source) is s(0.1s +1) The gain K in this...
Problem #2 Given the system below: C(s) R(s) s2 (s1) s2 (s +3) (a) Determine the system type. (b) Calculate the steady-state error for an input of 5u(t). [0] (c) Calculate the steady-state error for an input of 5tu(t). [15] (d) Discuss the validity of your answers to part (b) and (c). HINT: Is the system stable?
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...
R(S) C(s) G(s) Figure P3 G(S) K(s2 – 2s + 2) s(s + 1)(8 +2) Problem 4) (25 points) Consider the same unity feedback control system given in Figure P3 and do the following: a. Determine the system type (type 0, type 1, type 2, etc.) and justify it. (05 points) b. Suppose that 10% maximum overshoot is required as a transient response specification. Find the steady-state error for this P-controlled system, where K = 0.24 for a unit step...