19. For the unity-feedback system in Figure P9.1, withG(s) =K(s+1) (s+3)design a PID controller that will yield a peak time of 1.122 secondsand a damping ratio of 0.707, with zero error for a step input.[Section: 9.4]Octave problem1. For the following G(s)1s+10a) Plot the chirp signal outputs (frequency range 0.1 Hz - 100 Hz)b) Identify the change in magnitude and phase at 0.1, 1, 10, 100 Hz

Answered: 19. For the unity-feedback system in…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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1. (Without Octave) Design a controller (C) to have A) a zero steady-state error B) less than 20% overshoot 1 с s + 10 2. Discuss whether you can design a controller, having requirement at question 1 as well as 0.1 second settling time. 3. F(s) = = 1 s(s+1) Find angle of F(s) at the point s = -2+j2. 4. Given a unity feedback system that has the forward transfer function G(s) = - K s s² + 4s +8 a) Calculate the angle of G(s) at the point (-3+j0) by finding the algebraic sum of angles of the vectors drawn from the zeros and poles of G(s) to the given point. b) Determine if the point specified in a) is on the root locus. c) If the point specified in a) is on the root locus, find the gain, K, using the lengths of vectors.
Q5) For unity feedback control system with forward transfer function (G(s) ): G(s) = ; By using root locus graph calculate the value K(s+5) (s+2)(s²+12s+50) of gain (K) which must be added to get the dominant root at damping ratio (-0.886) and natural frequency (w = 8 rad/sec )? www CTRICAL ENGIN
1. In the system of Figure P9.1, it is desired to have a step response with zero steady-state error, and a closed-loop damping ratio if 0.5. The open loop transfer function is K G(s) = (s+ 2)²(s+20) Design a PI controller for the given specifications. Compare the performance of the uncompensated and compensated systems. [Section: 9.2] R(s) E(s) C(s) G(s) FIGURE P9.1
and 1) 2) LIUS S Consider the following feedback system, where K is a constant gain G(s) === 1 s3 +382 +s+1 Let K be a real number. Utilize the Routh-Hurwitz criterion to derive stability conditions for the closed-loop system. Suppose that the reference input r(t) = 1. What are the steady-state tracking errors (ess) for K = 1 and K = 3, respectively? R K G(s) Y Figure 2: Control system in Problem 2.
Can you also please do the simulate the step response in MATLAB for the design and report archieved PO and settling time? Thank you.
dont do the simscape piece
SS 20. For the unity-feedback system in Figure P9.1, with do the following: G (s) = K (s+4) (s+6) (s +10) a. Design a controller that will yield no more than 25% overshoot and no more than a 2-second settling time for a step input and zero steady-state error for step and ramp inputs. MATLAB b. ML Use MATLAB and verify your design. SS21. Redo Problem 20 using Octave in the following way: Octave will ask for the desired percent overshoot, settling time and PI compensator zero from the user. i) Design the PD controller's zero and display the root locus of the PID-compensated system with the desired percent overshoot line. ii) Display the gain and the transient response characteristics of the PID-compensated system iii) Display the step response of the system iv) Display the ramp response of the system
1) Consider the system below: Vehicle Controller Steering dynamics Desired Actual bearing angle bearing angle 50 1 K s2 + 10s + 50 s(s + 5) Figure 1: Simplified Block Diagram of a Self-Guiding Vehicle's Bearing Angle Control. • Find a K value that the system has minimum rise time and minimum overshoot. Let us call this proportional gain as Kopt Show each step while finding Kopt- Show the necessary graphical solutions. Simulate the system response with 3 different K values. (Kopt and two other K values close to Kopt) Show the system response (actual bearing angle) in a single graph for different K values. • Comment on the results.
Q.4- A model for feedback control system employing both angular position and velocity feedback is shown in figure bellow .The equation describing d²0 do di the system is J di² - = • K.[V₁-K₁0. K₂0-Ka ((1) Summing V,(r) Motor 白口食 amplifier Velocity sensor K₂8 Position sensor Where J is the rotary inertia KandK are the position and velocity feedback gains, and K, is the gain between the input voltages to the motor torque produced. Derive expression for the closed loop system undamped natural frequency and damping ratio.
Solve the following problem by hand and without the use of AI. Thank You!
The arm angle, e (t), is controlled by a closed-loop system. The input (reference) to the system is the desired angle, and the output is the actual angle. A controller uses the difference between the desired angle and the actual angle to drive the motor, resulting in a motor torque applied to the system. motor torque(t) houlder joint damping(B) The customer wants to make a system to have 1) O steady-state error 2) Less than 10% overshoot 3) Less than 1- For a step inp **ling time Arm length (/) Mass(m) g design a controller to meet the design spec above. 1) Design a controller to meet the design spec. 2) Evaluate your controller using step response (time response) 3) Evaluate your closed-loop system using frequency response (e.g., Bandwidth, Gain margin. Phase margin).
b) Closed-loop transfer function of a unity-feedback system is given by Y(s) / R(s)=1/(ts+1) .Discuss steady-state error for positional, velocity, and acceleration input?

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