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CHEN 4392 SPRING 2019 Homework # 3 Due Date: March 28, 2019 1. Each of the...
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block...
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block diagram. G(s) is the open-loop transfer function, and the controller is a gain, K. 1. (20) Calculate the open-loop transfer function tar →Q--t G(s) (10) Calculate the steady-state error to a step input of the open-loop system. 7. (in Bode Form) from the Bode plot. (10) Calculate the shortest possible settling time with a percentage overshoot of 5% or less. 8. 2. (10)Plot the...
I have no more posting for this month, please solve these for me thanks 1. Given...
I have no more posting for this month, please solve these for me
thanks
1. Given the following unity feedback system where s+z s2 (s + 10) and the controller is a proportional controller Ge = K, do the following: a. If z = 2, find K so that the damped frequency of the oscillation of the transient response is 5 rad/s. b. The system is to be redesigned by changing the values of z and K. If the new...
1 CONTROL SYSTEM ANALYSIS & DESIGN Spring 2019 HW 7 Due 4/4/2019, Thursday, 11:59pm 1. Design...
1 CONTROL SYSTEM ANALYSIS & DESIGN Spring 2019 HW 7 Due 4/4/2019, Thursday, 11:59pm 1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)-1. Please use the method based on root locus plot. G(s) 2 [s(s+2)] Please include detailed step Obtain the location of the desired dominant...
5. A milling machine has the following open-loop transfer function: (s 1)(s+3) Draw a block diagram describing a negati...
5. A milling machine has the following open-loop transfer function: (s 1)(s+3) Draw a block diagram describing a negative feedback system that includes a plant a) with transfer function of Gi(s) and a cascade proportional controller with a gain of K. b) Write the closed-loop transfer function for such a negative feedback system c The plant has poles that are solutions to P(s) 0 and zeros that are the solutions to Z(s)-0. Write an equation involving K, P(s) and Z(s)...
ELE480/580: Control Systems II Homework #6 Due: 4/29/2019 1. Consider a state equation with 0 0-2...
please answer all
ELE480/580: Control Systems II Homework #6 Due: 4/29/2019 1. Consider a state equation with 0 0-2 B 1C [0 0 1] A1 0 1 0 1 -3 0 Find the observer gain matrix L that places all three observer eigenvalues at -5. Write the state equation that defines the observer 2. For the state equation defined by the following state matrices x(t) 1 01x,(t)[1 h(t) | = | 0 0 111X2(t) | + | | | u(t)...
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) contro...
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) controller) 3. G (s)K(1+1/s) (proportional, integral (PI) controller) The system requirements are T, < 10 seconds and P0 10% for a unit step response. (a) For the (P) controller, write a piece of MATLAB code to plot root locus for 0<K<,and find the K value so that the...
Consider the following unity feedback system for Problems 2-3 R(9) —tqKAG YIS) Figure 1 Problem 2...
Consider the following unity feedback system for Problems 2-3 R(9) —tqKAG YIS) Figure 1 Problem 2 Consider the system shown in the above figure, where G(s) = s(8+1128+1) a) Draw a Bode diagram of the open-loop transfer function G(s) when K=1. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K=1? c) Determine the range of K for which the closed-loop systems will be stable. d) Verify your answer in (c) using...
EEL 4652 Control Systems 1 (Fall 2018) Homework 4 Nyquist Stability Criterion + Frequency Domain Design...
EEL 4652 Control Systems 1 (Fall 2018) Homework 4 Nyquist Stability Criterion + Frequency Domain Design Problem 1: Nyquist Plots and Closed-Loop Stability A unity feedback closed-loop system has a forward transfer function of KG(s). Sketch the Nyquist plot for each of the G(s) cases listed below, and then find if the closed loop system is stable and if not - how many RHP closed loop poles there are. Find it for all the relevant ranges of K for -o0SKo,...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k = 20 N/m. b m F k a) Derive the open-loop transfer function X(S) F(s) Plot the step response using matlab. b) Derive the closed-loop transfer function with P-controller with Kp = 300. Plot the step response using matlab. c) Derive the closed-loop transfer function with PD-controller with Ky and Ka = 10. Plot the step response using matlab. d) Derive the closed-loop transfer...
It has to be answered using matlab and other programs as each section says
The open-loop system dynamics model for the NASA eight-axis Advanced Research Manipulator II (ARM II) electromechanical shoulder joint/link, actuated by an armature-controlled dc servomotor is shown in Figure P1.The ARM II shoulder joint constant parameters areKa= 12, L=0.006 H, R= 1.4 Ω, Kb= 0.00867, n=200, Km= 4.375, J=Jm+ JL /n2, D=Dm+DL /n2, JL= 1, DL= 0.5, Jm= 0.00844, and Dm= 0.00013.FIGURE P1 Open-loop model for ARM ll(Due to 29/8/2020)a. Obtain the equivalent open-loop transfer function, ?(?) (with a unity feedback...
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block diagram. G(s) is the open-loop transfer function, and the controller is a gain, K. 1. (20) Calculate the open-loop transfer function tar →Q--t G(s) (10) Calculate the steady-state error to a step input of the open-loop system. 7. (in Bode Form) from the Bode plot. (10) Calculate the shortest possible settling time with a percentage overshoot of 5% or less. 8. 2. (10)Plot the...
I have no more posting for this month, please solve these for me
thanks
1. Given the following unity feedback system where s+z s2 (s + 10) and the controller is a proportional controller Ge = K, do the following: a. If z = 2, find K so that the damped frequency of the oscillation of the transient response is 5 rad/s. b. The system is to be redesigned by changing the values of z and K. If the new...
1 CONTROL SYSTEM ANALYSIS & DESIGN Spring 2019 HW 7 Due 4/4/2019, Thursday, 11:59pm 1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)-1. Please use the method based on root locus plot. G(s) 2 [s(s+2)] Please include detailed step Obtain the location of the desired dominant...
5. A milling machine has the following open-loop transfer function: (s 1)(s+3) Draw a block diagram describing a negative feedback system that includes a plant a) with transfer function of Gi(s) and a cascade proportional controller with a gain of K. b) Write the closed-loop transfer function for such a negative feedback system c The plant has poles that are solutions to P(s) 0 and zeros that are the solutions to Z(s)-0. Write an equation involving K, P(s) and Z(s)...
please answer all
ELE480/580: Control Systems II Homework #6 Due: 4/29/2019 1. Consider a state equation with 0 0-2 B 1C [0 0 1] A1 0 1 0 1 -3 0 Find the observer gain matrix L that places all three observer eigenvalues at -5. Write the state equation that defines the observer 2. For the state equation defined by the following state matrices x(t) 1 01x,(t)[1 h(t) | = | 0 0 111X2(t) | + | | | u(t)...
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) controller) 3. G (s)K(1+1/s) (proportional, integral (PI) controller) The system requirements are T, < 10 seconds and P0 10% for a unit step response. (a) For the (P) controller, write a piece of MATLAB code to plot root locus for 0<K<,and find the K value so that the...
Consider the following unity feedback system for Problems 2-3 R(9) —tqKAG YIS) Figure 1 Problem 2 Consider the system shown in the above figure, where G(s) = s(8+1128+1) a) Draw a Bode diagram of the open-loop transfer function G(s) when K=1. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K=1? c) Determine the range of K for which the closed-loop systems will be stable. d) Verify your answer in (c) using...
EEL 4652 Control Systems 1 (Fall 2018) Homework 4 Nyquist Stability Criterion + Frequency Domain Design Problem 1: Nyquist Plots and Closed-Loop Stability A unity feedback closed-loop system has a forward transfer function of KG(s). Sketch the Nyquist plot for each of the G(s) cases listed below, and then find if the closed loop system is stable and if not - how many RHP closed loop poles there are. Find it for all the relevant ranges of K for -o0SKo,...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k = 20 N/m. b m F k a) Derive the open-loop transfer function X(S) F(s) Plot the step response using matlab. b) Derive the closed-loop transfer function with P-controller with Kp = 300. Plot the step response using matlab. c) Derive the closed-loop transfer function with PD-controller with Ky and Ka = 10. Plot the step response using matlab. d) Derive the closed-loop transfer...
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