Q2) Given the transfer function of the system (plant) as follows: B(s) s+6 A(s) 4s2 – 8s + 5 1- Design an observer-based state feedback controller to locate the closed loop poles at -4 and -8 and the observer poles at -1 and -10. 2- Find the open loop poles of the system. U(s) 3- Find the compensator transfer function y(s)
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- A unity feedback system with open-loop transfer function given as:?(?) = ??. ?(? + ?)(? + ?)(? + ??)without affecting its operating point (−1.54 ∓ ??2.66) appreciably a- Design a suitable compensator to drive the step response error to zero.b- Design a suitable compensator to reduce step error by factor of 5.Problem 8. For the feedback control system given in the figure on the right, R(s) (a) Find the closed-loop transfer function, C(s)/R(s). (b) Determine the system's stability range for gain Kusing Routh-Hurwitz criterion. K 1 s(s+ 2)(s + 5) S C(s) (c) What is the type of the system? (Hint: you need to convert the system to a simple unity feedback.) (d) Sketch the root-locus in Matlab (hint: you need to use the open-loop transfer function with K = 1) and validate the stability region you found in (b (e) Plot the step responses up to 10 seconds for the input of 1.5u(t) when the gain K = 22 and has the value that makes the system marginally stable on the same plane. (f) Calculate the steady-state error for the input step of 1.5u(t) for K = 22. Confirm the result with the related plot you obtained in (e). (g) Calculate the steady-state error now for an input ramp of 1.5tu(t) for K = 22 and plot this response together with the input function up to 10 seconds in order to indicate the…Design a feedback amplifier corresponding to the block diagram shown below. The amplifier (A) must be a multistage-cascaded common source with a minimum number of stages. Draw the circuit and then analyze the feedback amplifier to find A, B, AVf, and Rif Is A o Vo If
- Consider the open loop transfer function, below, which is placed in a unity gain feedback configuration. (a) Draw the entire polar (Nyquist) plot of this system (b) Consider the portion of the polar plot from o = 0* to w = 0* , determine & apply the Nyquist criterion to determine the stability of the system. If the system is unstable, determine the number of closed loop poles in the RHP. 5 (s-2) G(s)- 3(s+1)(s-1)Find the desired values below in the feedback amplifier circuit in the figure. a) Voltage and current in amplifier circuit when Rf resistor is open circuit and RL resistor is present Show step-by-step the formula that gives the profit. b) Step of the formula showing the feedback current gain Ai when the Rf feedback resistor is connected find step.Please provide solutions
- Q6: Choose the correct answer among the following: 1- For the ramp input, the steady state error of the control system (Type one) is: a) zero b) A/K c) infinite d) none of the them 2- After moving the pick-off point (as shown in the figure). The feedback transfer function will be equal to: R)- a) H₂G, /a)1 b) H₂/G₁ a) 11. A unity feedback system is characterized by an open loop transfer function The system will have a damping factor of 0.55. For this value determine the natural frequency of the system. It is subjected to a unity step input. Also obtain all the time specifications.4. What is the relationship between gain, feedback and Deviation?1-For the ramp input, the steady state error of the control system (Type one) is: a) zero b) A/K c) infinite d) none of the them 2- After moving the pick-off point (as shown in the figure), The feedback transfer function will be equal to : R(s)- a) H₂G, /a) 1 b) H₂/G₁ G₁ b) 2 nos H₁ 3- For the root locus plot, the number of the asymptotes for the following system are: G(s)H(s) = c) 3 H₂ c) H₂+G₁ K a) 1Thank you for answering this question. Please you specify each step and formula you used as soon as possible. Good Luck! Thank You. Open loop transfer function of a second order unity feedback system is given by G(s). A controller, indicated by G-(s), is added to the system to build a closed loop control system. The transfer function of the closed loop system becomes: G.(s)G(s) Gcı (s) %3D 1+ G.(s)G(s) 1 and Gc (s) = k,+, what would be the steady state error of the a) In case G(s) = closed loop system in response for a unity step input when kp = 5 and k; = 0.2? b) When a ramp input is applied (r(t) = 0.1*t) with k, = 5 and k; = 0.2, determine the output error of the system. c) In order to have zero steady-state error when k; = a feedforward controller with L(s). %3D s2+s+1 and k, = 5 with unity step input, designRecommended textbooks for youIntroductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,