A position control is to be designed with a 10% overshoot, a settling time of I second, and
is also available. The following data are observed from a dynamometer test at 50 V. At 25 N-m of torque, the motor turns at 1433 rpm. At 75 N-m of torque, the motor turns at 478 rpm. The speed measured at the load is 0.1 that of the motor. The equivalent inertia, including the load, at the motor armature is 100 kg-m2, and the equivalent viscous damping, including the load, at the motor armature is 50 N-m-s/rad.
a. Draw a complete block diagram of the system, specifying the transfer function of each component.
b. Design a passive compensator to meet the requirements in the problem statement.
c. Draw the schematic of the compensator showing all component values. Use an operational amplifier for isolation where necessary.
d. Use MATIAB or any other computer program to simulate your system and show that all requirements have been met.
MATLAB
ML
Want to see the full answer?
Check out a sample textbook solutionChapter 9 Solutions
Control Systems Engineering
- Problem 5. Sys Design: T 0₁ Ete J 사용의 For the system shown a step torque is applied at 0₁ (t). Given J and k 1 N-m Find: = rad 1. The transfer function considering 62 as output and T as input. 2. The percent overshoot, settling time, and peak time for 0₂ (t). 1kg m², b = N.m.s rad "arrow_forward1) Determine the steady-state (forced) response and the time constant (or dominant time constant) for each of these systems: a. x+ 2x = 0 with x(0) = 10 b. 4x + 8x + 40x = 20 with x(0) = 0 and x(0) = 0 10x + 4x = 24 with x(0) = 0 C. d. *+ 34x + 64x = 8 with x(0) = 0 and x(0) = 0arrow_forwardConsider the following mathematical model of a single-link flexible joint robotic manipulator (shown in the following figure) where the output of the system is y(t) = q₁(t), and I, m, g,l,k and are constants. lä(t) + MgLsin(q1(t)) + k(q1(t) - 92(t)) = 0 Jäz(t)-k(q1(t)-92(t)) = u(t) a) Linearize the nonlinear dynamics at the working point q₁ = q₁ = 92 = 92 = 0. b) For parameters I = 2,J = 1, k = 1, g = 10, M = 0.1, L = 1, find the transfer function from input u to the output y. 92 91 M, Iarrow_forward
- consider the system The suitable compensator for this system that meets the following specifications: Overshoot less than or equal to 20% and speed gain (Kv) greater than or equal to 10 is: choose an alternative A: B: C: D: None of the alternativesarrow_forwardFigure 1 shows an electrical system comprising a series RLC circuit and input voltagesource ein(t).(a) Derive the input-output equation with output y = I and input u = ein(t). (b) Using the derived input-output equation, drive the system transfer function G(s)that relates output to input. Use the following numerical values for the electrical systemparameters: resistance R = 2Ω, inductance L = 0.25H, and capacitance C = 0.4F. (c) Using the derived transfer function, derive the time-domain ordinary differentialequation for the input-output equation of this electrical system. (d) Draw the complete block diagram of this series RLC circuit using the derived transferfunction.arrow_forwardFind the 75%, 90% and 95% response time for the following system given: 0.8Ť + T = U(t)arrow_forward
- Match the transfer function with correct Bode amplitude plots. G(s) = s+ 10 s(+100) s+ 100 G(s) = s(s+10) S G(s)= (s+10) (s+100) (+10) G(s) = (+100) s(+100) G(s) = (+10) (+10)(+100) G(s) = S A. -20 dB/dec 20 dB/dec B. D. 20 dB/dec -20 dB/dec 20 dB/dec -40 dB/dec -20 dB/dec 20 dB/dec 40 dB/dec E. 20 dB/dec -20 dB/dec 20 dB/dec 20 dB/dec -20 dB/decarrow_forwardFind the moment about A & B where AB = 8m, BC = CD 6m & all forces makes 40° to horizontal axis. 7kN 8 kN 10KN 15kl 6kN 5kN B. 3kN 4kNarrow_forwardPlease refer to the instruction below. As7 A42 A76 x, Aer A43 A54 A65 A32 X, A45 A s0 A23 A34 A72 Fig. 8-34 Identify the (a) input node, (b) output node, (c) forward paths, (d) feedback paths, (e) self-loop. Determine the (f) loop gains of the feedback loops, (g) path gains of the forward paths.arrow_forward
- Q1) Consider the type one servo system given by: 1 A = C= [1 0 0] 1 B = -5 -6 Determine the controllability and observability of this system.arrow_forwardFind the gain Ke for the lead compensator with the transfer function K(s +1/T) (s + 1/aT) that will be cascaded with the plant G(s), if the following information is given: 1. The required static velocity error constant is ky 10. 2. The limit of the plant transfer function satisfies lim sG(s) = 2.0. 8-0 3. The required phase lead angle is Pm = 25°. 4. The new gain crossover frequency for the gain compensated system is Wgc 0.7 rad/s. %3Darrow_forwardConsider the equation of motion for a given system is 2x + x = u where x is the output in meters and u is the input in Newtons. Design a PID controller to maintain the desired system position at one meter with the following requirements: the time constant is I sec, and the damping ratio is 0.7071.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY