a. Determine the velocity error constant. b. Determine the steady-state error due to a unit ramp input. Problem 1 Consider the closed-loop sampled-data feedback system G(s) E(s) R(s) C(s) D(2) Gp(s) T = 2s Assume that the discrete controller transfer function is D(z) : 2-1 and that G(z) = s(2-1) 1-0.8187
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- For a state space system with 1 a A = 1 0 B= with a=7. Find k1 and k2 for a full state feedback controller K = [k1, k2] , such that the closed loop poles are at -2+ 3j . Enter the answer as ki + ką and round your answer to two decimal places. 6.29Q.4. Consider a unity feedback control system with feed forward :transfer function is .Q.4 G(s) 12(s+2.5) s (s² + 5s +11) A) It is desired to make the damping ratio (5) of the dominant closed-loop poles equal to (0.5) and to increase the undamped natural frequency (w) to (5 rad/sec) and the static velocity error constant to (K, = 60 sec-1). Design an appropriate compensator to meet all the performance specifications.? B) Check the stability of this system with compensator and without it? (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…A unity feedback system with forward loop transfer function of 5 G(s) = s(s² + 6s + 10) 1- Determine the closed-loop dominate poles. 2- Design a lag compensator such that the velocity constant will increase to 10. 3- Determine the settling time of the compensated system. 4- Discuss the results.A closed loop feedback system has the following response specifications: a) Mp s 16% b) Settling time ts 5 6.9 sec c) Rise time tr 1.8 sec If the transfer function for the above closed loop system can be approximated by a simple second order system, sketch the region in the s-plane were the closed-loop transfer function poles can be placed.
- I need the answer as soon as possibleQ6: 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-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) 1Recommended 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,