A uncompensated (un-controlled) feedback system with and plant transfer function are shown below. Design a PI controller that you could add that will drive the steady-state error to zero for a unity step reference, and operate with a damping ratio of 0.5. Provide the resulting %OS, and 2% settling time. You must show the analytical process and all steps you took to design your controller.
Use MATLAB/Simulink to simulate the system and your feed-back controller for a unity step input R(s). Provide the time domain plot of Y(s) from 0 s ? t ? 10s
Homework Answers
![- lim G.(s)* 73(s +0.1 16-3)(6+11) The steady state error is, t-0:0.00001:10: Gs-zpk (.[-1 -3-10],73) GCs-zpk (-0.11, t0 -1 -](http://img.homeworklib.com/questions/f1826af0-76cb-11eb-8cf0-f362e2a4a601.png?x-oss-process=image/resize,w_560)
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A uncompensated (un-controlled) feedback system with and plant
transfer function are shown below. Design a PI...
17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system...
17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system requires a damping ratio of 0.5. If the design point is at -1.54 j2.66, design a PI controller to drive the steady-state error of the response to zero
17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system requires a damping ratio of 0.5. If the design point is at -1.54 j2.66,...
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller trans...
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller transfer function is of the forrm KI p and Ki are the proportional and integral controller gains, respectively where K Design numerical values for Kp and Ki such that the closed-loop control system has a step- response settling time T, 0.5 seconds with a damping ratio of...
The transfer function of the given physical system is Gp(s)-1000 The physical system is controlle...
The transfer function of the given physical system is Gp(s)-1000 The physical system is controlled with a unity-feedback system shown below, R(s) + Where Ge is the controller transfer function 3. Lead/Lag Compensator (a) Design a compensator such that the settling time of the compensated system T < 0.02 sec (Use 5% definition), and maximum overshoot of the compensated system is Mp 20%. Clearly explain all your steps. (b) Build a simulink model and use the compensator you designed above....
Design a PI controller to drive the step-response error to zero for the negative unity feedback s...
Design a PI controller to drive the step-response error to zero for the negative unity feedback system shown in Fig. 1, where G(s) S+1(s+3)(s+10) The system operates with a damping factor of 0.4. * Design a PI controller whose compensator zero located at -0.1 Use MATLAB or any other computer program to simulate the step response * to closed-loop system
Design a PI controller to drive the step-response error to zero for the negative unity feedback system shown in Fig....
Design a PI controller to drive the step response error to zero for the unity feedback...
Design a PI controller to drive the step response error to zero for the unity feedback system shown in Figure P9.1, where G(s) s1) (s +3) (s 10) The system operates with a damping ratio of 0.5. Compare the specifications of the uncompensated and compensated systems. [Section: 9.2] C(s) FIGURE P9.1
4) A unity feedback control system shown in Figure 2 has the following controller and process with the transfer functions: m(60100c Prs(s +10(s+7.5) a) Obtain the open- and closed-loop transfer f...
4) A unity feedback control system shown in Figure 2 has the following controller and process with the transfer functions: m(60100c Prs(s +10(s+7.5) a) Obtain the open- and closed-loop transfer functions of the system. b) Obtain the stability conditions using the Routh-Hurwitz criterion. e) Setting by trial-and-error some values for Kp, Ki, and Ko, obtain the time response for minimum overshoot and minimum settling time by Matlab/Simulink. Y(s) R(s) E(s) Fig. 2: Unity feedback control system
4) A unity feedback...
1. A system with unity feedback is shown below. The feed-forward transfer function is G(s). Sketch...
1. A system with unity feedback is shown below. The feed-forward transfer function is G(s). Sketch the root locus for the variations in the values of pi. R(9)+ 66) 69? Fig. 1: Unity-feedback closed-loop system G(s)= 100 s(s+ p) 2. The following closed-loop systems in Fig. 2 and Fig. 3 are operating with a damping ratio of 0.866 (S =0.866). The system in Fig. 2 doesn't have a PI controller, while the one in Fig. 3 does. Gain Plant R(S)...
4.35 Consider the feedback control system with the plant transfer function G(s) = (5+0.1)(5+0.5) (a) Design...
4.35 Consider the feedback control system with the plant transfer function G(s) = (5+0.1)(5+0.5) (a) Design a proportional controller so the closed-loop system has damping of 5 = 0.707. Under what conditions on kp is the closed-loop system stable? (b) Design a PI controller so that the closed-loop system has no over- shoot. Under what conditions on (kp, kt) is the closed-loop system is stable? (©) Design a PID controller such that the settling time is less than 1.7 sec.
4. You want to design an orientation controller for a satellite system whose thrusters provide a...
4. You want to design an orientation controller for a satellite system whose thrusters provide a torque T to modify the angular position 0 with transfer function (s) 0.1 G(s) T(s) $2 Y() R(s) G(s) C(s) You want to add damping to the system to minimize any oscillations (%OS < 5%) but still maintain a 1% settling time of less than 60 s to a unit step input. I(a) Sketch the allowable pole locations in the complex plane to meet...
continuous unity feedback system
3. Consider a contintous unity feodback system which has forward transfer function as,
$$ G(s)=\frac{1}{s^{3}+13 s^{2}+40 s} $$
the desired specifications for this system are Settling Time: \(2 \mathrm{~s}\) and Percent Overshoot: \(10 \%\).
(a) Design a lead compensator for the digital system to have these specifications. In order to obtain digital controller use following approximation methods, Differencing Methods, Pole-Zero Matching, Bilinear Transformation (Tustin). Take sampling period as \(T=0.01\) s.
(b) Simulate your digital controllers with \(G(s)\) using Matlab Simulink.
17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system requires a damping ratio of 0.5. If the design point is at -1.54 j2.66, design a PI controller to drive the steady-state error of the response to zero
17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system requires a damping ratio of 0.5. If the design point is at -1.54 j2.66,...
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller transfer function is of the forrm KI p and Ki are the proportional and integral controller gains, respectively where K Design numerical values for Kp and Ki such that the closed-loop control system has a step- response settling time T, 0.5 seconds with a damping ratio of...
The transfer function of the given physical system is Gp(s)-1000 The physical system is controlled with a unity-feedback system shown below, R(s) + Where Ge is the controller transfer function 3. Lead/Lag Compensator (a) Design a compensator such that the settling time of the compensated system T < 0.02 sec (Use 5% definition), and maximum overshoot of the compensated system is Mp 20%. Clearly explain all your steps. (b) Build a simulink model and use the compensator you designed above....
Design a PI controller to drive the step-response error to zero for the negative unity feedback system shown in Fig. 1, where G(s) S+1(s+3)(s+10) The system operates with a damping factor of 0.4. * Design a PI controller whose compensator zero located at -0.1 Use MATLAB or any other computer program to simulate the step response * to closed-loop system
Design a PI controller to drive the step-response error to zero for the negative unity feedback system shown in Fig....
Design a PI controller to drive the step response error to zero for the unity feedback system shown in Figure P9.1, where G(s) s1) (s +3) (s 10) The system operates with a damping ratio of 0.5. Compare the specifications of the uncompensated and compensated systems. [Section: 9.2] C(s) FIGURE P9.1
4) A unity feedback control system shown in Figure 2 has the following controller and process with the transfer functions: m(60100c Prs(s +10(s+7.5) a) Obtain the open- and closed-loop transfer functions of the system. b) Obtain the stability conditions using the Routh-Hurwitz criterion. e) Setting by trial-and-error some values for Kp, Ki, and Ko, obtain the time response for minimum overshoot and minimum settling time by Matlab/Simulink. Y(s) R(s) E(s) Fig. 2: Unity feedback control system
4) A unity feedback...
1. A system with unity feedback is shown below. The feed-forward transfer function is G(s). Sketch the root locus for the variations in the values of pi. R(9)+ 66) 69? Fig. 1: Unity-feedback closed-loop system G(s)= 100 s(s+ p) 2. The following closed-loop systems in Fig. 2 and Fig. 3 are operating with a damping ratio of 0.866 (S =0.866). The system in Fig. 2 doesn't have a PI controller, while the one in Fig. 3 does. Gain Plant R(S)...
4.35 Consider the feedback control system with the plant transfer function G(s) = (5+0.1)(5+0.5) (a) Design a proportional controller so the closed-loop system has damping of 5 = 0.707. Under what conditions on kp is the closed-loop system stable? (b) Design a PI controller so that the closed-loop system has no over- shoot. Under what conditions on (kp, kt) is the closed-loop system is stable? (©) Design a PID controller such that the settling time is less than 1.7 sec.
4. You want to design an orientation controller for a satellite system whose thrusters provide a torque T to modify the angular position 0 with transfer function (s) 0.1 G(s) T(s) $2 Y() R(s) G(s) C(s) You want to add damping to the system to minimize any oscillations (%OS < 5%) but still maintain a 1% settling time of less than 60 s to a unit step input. I(a) Sketch the allowable pole locations in the complex plane to meet...
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