Suppose a crane controller is designed as shown in Figure 2, to automatically modulate the cart velocity in a manner which ensures that the load does not swing wildly when the cart is driven at the constant velocity, vo i.e. Vr(s)=L{vou(t)} where u(t) is the unit step function. K is the controller parameter to be tuned in order to achieve the control objective. V₁ (s) = L{v₁u(t)} — + Crane Cart D(s) Vr(s) from Part (1) s+ K Controller Figure 2: Control Configuration for the Crane. S 10+305² → Þ(s) Design a suitable value of K such that the resulting response of the rope sway is non- oscillatory. Sketch the trajectory of the rope sway when the cart is driven at a constant velocity of % = 2 m/s. You may assume that the initial angle of the rope is zero. Explain qualitatively how the control system works. How does the control parameter K affect the quality of control?

Suppose a crane controller is designed as shown in Figure 2, to automatically modulate the cart velocity in a manner which ensures that the load does not swing wildly when the cart is driven at the constant velocity, vo i.e. Vr(s)=L{vou(t)} where u(t) is the unit step function. K is the controller parameter to be tuned in order to achieve the control objective. V₁ (s) = L{v₁u(t)} — + Crane Cart D(s) Vr(s) from Part (1) s+ K Controller Figure 2: Control Configuration for the Crane. S 10+305² → Þ(s) Design a suitable value of K such that the resulting response of the rope sway is non- oscillatory. Sketch the trajectory of the rope sway when the cart is driven at a constant velocity of % = 2 m/s. You may assume that the initial angle of the rope is zero. Explain qualitatively how the control system works. How does the control parameter K affect the quality of control?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

10. If only P-mode control is used in a closed-loop control system, the proportional control will cause the system to have smaller steady-state error ess. function (a) p = 50 + 2ep (b) p = 50+ 12ep
This is a multiple choice question. You need to mark both options correctly. below is the model of the electrical part of a magnetic levitation system. dl R+Rs 1 dt Here I letter is given as current, V voltage R winding resistance Rms = 1 ohm R = 10 ohms, L= 412.5 mH. This system is wanted to be controlled using a proportional-integral (PI) controller. The error sign used in the Pl controller is identified with e (t) as above. e(t) = 1,(t)- 1(t) Here Ir (t) is the reference current. The damping ratio of the system is determined as E = 0.8 and its natural frequency is wn = 350rad / sec. Calculate the proportional term gain (Kp) and integral term gain (Ki) values of the Pl controller in order to achieve the desired system performance.
Q 1. The aim of this task is to design a PID controller for a DC motor modelled in Simulink (or Octave, Octave Forge). Create a closed-loop system by using controller block, then tune the gains of PID controller using PID tuner to control the angular position of the DC motor. The motor has the following characteristics: J= 0.01 kg.m2, b= 0.1 Nms, k= 0.01 Nm/A, R=1.0 ohm, L= 0.5 H. Design criteria are: step input = 1.0 rad/sec, settling time less than 2 seconds, overshoot less than 3% and steady-state error less than 1%. You need to address the following: (a) Develop the block diagram of closed loop systems for the position control of DC motor using a PID controller. (b) Use Bode-plot to evaluate the performance of the system with regards to stability and response to a step input. (c) Investigate the effects of the P,I,D and PID parameters on the dynamic response of the system. (d) Explore the dynamic responses of PID controllers in terms of position control of a dc motor system with…
Draw the DC Machine and label its parts
Q3/ A/ Compare between de series and shunt generator. Q3/ B/ Briefly explain the commutating process in dc machine.
The p.u parameters for a 500 MVA machine on its own base are: inertia,M=20 p.u.;Reactance X=2 p.u. What is the p.u value of inertia and reactance on 100 MVA COMMON BASE. Ans is 100,0.4
Explain the Commutation process in DC machines. Files
How do you do Routh Houritz criteria? What is a method that always works? Like how apply to below?
I am given the task as a trainee control engineer to design a closed-loop controller for the air conditioning unit pictured so that it has the following properties: Maximum overshoot: 10% Maximum time to reach 99% of steady state: 10 seconds Maximum steady-state error: 10% Please find the values of the gain, natural frequency and damping coefficient of the open-loop system to two places after the decimal point. Many thanks :)
i.A closed-loop control system is created using a proportional controller. Show that such a system has a steady state error of 1/(1+Kp) and therefore the steady state error condition can be achieved with a proportional gain of 9 or more.
Problem') A single-phase full-wave AC/AC voltage controller has input rms voltage Vs - 220 V,50 Hz, load R 100 2, and the firing angle a= 60° for the thyristors T1 and T2. Determine the output rms voltage VO and current IO, and the DPF.
DA stamping device is used for work on sheet metal work piece. The puncher that moved by double acting cylinder (DAC- A) with sp stamp the sheet metal and lefur retracted back to its position. While the sheet metal inside the blank will push out using another DAC- B and retracted back with Spring return ) Design an Pneumatic-PLC circuit by using 5/2 way valve.