Problem 3 A boat of mass m glides through the water, experiencing viscous fluid resistance with...
The diagram below shows a cruise control system for a car. VD (s) V(s) ms 89 (a) Find the open loop transfer function. (b) Find the closed loop transfer function. (c) This is a first order system, so make its closed loop transfer function fit the form: controller gain Kp. (d) If the desired speed is 60 mph and the actual speed is 55 mph, what is the error? A boat of mass m glides through the water, experiencing viscous...
Design a PD controller for mass-spring systems by the Root-Locus Method Mass 2.6Kg Spring stiffness 200N/m Zero Damper Input: force Output: mass displacement, y Design a PD controller, Kp+ Kd*s, for vibration reduction by root-locus method so that the damping ratio of the closed-loop systems is 0.5 and natural frequency is 3 rad/s Transfer Function of closed-loop system Draw root locus plot Design gains ww Design a PD controller for mass-spring systems by the Root-Locus Method Mass 2.6Kg Spring stiffness...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k = 20 N/m. b m F k a) Derive the open-loop transfer function X(S) F(s) Plot the step response using matlab. b) Derive the closed-loop transfer function with P-controller with Kp = 300. Plot the step response using matlab. c) Derive the closed-loop transfer function with PD-controller with Ky and Ka = 10. Plot the step response using matlab. d) Derive the closed-loop transfer...
Problem 4 Problem 3 (35): The particle with mass m is initially at equilibrium. The cord is assumed to be taut throughout the motion. The system is critically damped with parameters are m = 4 kg and k = 200 N/m. 7n a) (15) Determine the value of the viscous damping coefficient c. b) (10) If at t -0 the mass m is displaced down the incline by a distance xo -0.2 m from the equilibrium position and released with...
On a ECP Rectilinear Plant (1 DOF system) mass-spring-damper system, I am given the transfer function as: 1/(M*s^2 + B*s + K). With values mass M = 0.67538 kg, friction coefficient B = 1.8951 Ns/M, spring constant K = 322.278 N/M, and Damping coefficient d=2.54821 Ns/m. I know the Open loop system model is: (1/(0.6738s^2 + 1.89515s + 322.278)) = (1.481/(s^2+2.806s+4.772)) Implement a simple controller using only one mass (+spring + damper) so the control is critically damped
On a ECP Rectilinear Plant (1 DOF system) mass-spring-damper system, I am given the transfer function as: 1/(M*s^2 + B*s + K). With values mass M = 0.67538 kg, friction coefficient B = 1.8951 Ns/M, spring constant K = 322.278 N/M, and Damping coefficient d=2.54821 Ns/m. I know the Open loop system model is: (1/(0.6738s^2 + 1.89515s + 322.278)) = (1.481/(s^2+2.806s+4.772)) Implement a simple controller using only one mass (+spring + damper) so the control is critically damped
part 2 & part 3 please... Tutorial -On PID control (Control System: Instructor slides and lab) Consider a second order mass-force system to study its behavior under various forms of PID control xtn fon force In Disturbance force: 50) (i.e. wind force) Part I (dealing with the plant/process) 1. What is the model of this system, in other words, write the ODE of the system 2. Derive the transfer function of the above system from Fls) to X(s) 3. What...
Problem 1. Consider the following mass, spring, and damper system. Let the force F be the input and the position x be the output. M-1 kg b- 10 N s/m k 20 N/nm F = 1 N when t>=0 PART UNIT FEEDBACK CONTROL SYSTEM 5) Construct a unit feedback control for the mass-spring-damper system 6) Draw the block diagram of the unit feedback control system 7) Find the Transfer Function of the closed-loop (CL) system 8) Find and plot the...
3. A bandage is made up of two identical patches of equal mass M, linked by a vis- coelastic material, which we model with springs and dashpots. The bandage is fixed on the two ends. f(t) is the forced applied to the first mass, k is the spring constant and b is the damping coefficient. f(t) a) Draw the free-body diagram for both masses. (b) Describe the system by a set of ordinary differential equations. (c) Find the transfer function...
there are two questions 2 and 3 Question 2) Block diagram representation of a multi-loop feedback system is given below. -H2(5) T(s) For the corresponding block diagram, determine; a. Transfer function Gyr (s) between the input T(s) and the output Y (5) b. Transfer function Gyx (s) between the input R(s) and the output Y(s) Do not use block diagram algebra. Question 3) Consider the mechanical system shown in figure T(t) is the torque applied to shaft 1 and 8(t)...