SYSC3600-L3

Please give some idea.

dont do the simscape piece

Part a and b

Consider a system described by the following dynamic equation: 5x + 17* + 20x + 8x = 4f(t) -0.9g(t) Submit to Connect: What form is this dynamic model in? a. Draw the block diagram for this system if x(t) is the output and f(t) is the input to the system. b. Write out each of the Transfer Functions for this system, and describe the expected characteristic behavior of the system and the differences between the response x(t) to f(t) and g(t). c. Define the state equations for this system. Also define the A, and B matrices for the system.

EXPERIMENT TITLE : PID CONTROLLER IN LEVEL CONTROL SYSTEM OBJECTIVE:To demonstrate the characteristic of P,PI and PID controller response on a level controller system. Based on the topic and objective given,please make a clear introduction.

Feedback & Control Systems State-Space Representation Write the state-space representation of the system below. Let the output of the mechanical system is x3 (t). 1 N-s/m x₁ (t) M3 = 1kg 1 N/m М1 -0000 1kg > X3 (t) 1 N-s/m 1 N/m oooo x₂ (t) M₂ 1kg 4 1 N-s/m² -1 N-s/m →f(t)

MODELLING AND CONTROL OF SYSTEM

Question 4 a) A control engineer has modelled the suspension system of a new model car using a 2nd order differential equation. Using Laplace Transform, the engineer has managed to work out the transfer function, which is given below: 0.001 s2 + 12s+81 What is the natural frequency, the damping ratio and the constant K of the system? Please show all calculations. b) The same engineer has studied the suspension system of a SUV vehicle and modelled it using again a 2nd order differential equation, which has resulted into the following 2nd order transfer function: Y(s) 32 U(s) 4s² +8s + 16 For this system first calculate the damping ratio and its natural frequency and state whether the system is underdamped, overdamped or critically damped. Then calculate the peak time, peak value, settling time and damped natural frequency of the system.

a) Suspension system of a car. Finding the transfer function F₁(s) = Y(s)/R(t) and F₂ (s) = Q(s)/R(t), consider the initial conditions equal to zero. car chassis www K₂ M₂ 1 Tire M₁ K₁ B₁ y(t)= output q(t) r(t)= input Where [r, q, y] are positions, [k1, k2] are spring constants. [B₁] coefficient of viscous friction, [M₁, M₂] masses. b) Find the answer in time q(t) of the previous system. With the following Ns values: M₁ = 1 kg, M₂ = 0 kg, k₁ = 4 N/m, k₂ = 0 N/m, B₁. = 1 Ns/m, considered m a unit step input, that is, U(s) = 1/s

Rotational Mechanical System: Find the transfer function for each rotational mechanicalnetwork shown below

pls answer in 30 mins sir subject (control engineering)

For the system represented by the following block diagram, Find a) The Closed-loop Transfer function. b) Characteristic equation. c) Type and Order of the system. c) Time-domain Specifications ( Delay Time, Peak Time, Rise Time, Settling time, and Percentage overshoot). R(s) C(s) G(s) H(s) Where G(s) and H(s) are given as : 324 G(s) = s(s+6) H(S) : 1

use LMTD for part a and b

Needs Complete typed solution with 100 % accuracy

Example 1.1 Figure 1.5 shows the block diagram of a closed-loop flow control system. Identify the following elements: (a) the sensor, (b) the transducer, (c) the actuator, (d) the transmitter, (e) the controller, (f) the manipulated variable, and (g) the measured variable. In the figure above, the (a) sensor is labeled as the pressure cell. The (b) transducer is labeled as the converter. However, there are two converters: one for converting pressure to current, and another converting current to pressure for operating the actuator. The (c) actuator is labeled as the pneumatic valve. The (d) transmitter is labeled as the line driver. The (e) controller is labeled as the PLC. The (f) manipulated variable is labeled as the pressure developed by the fluid flowing through the orifice plate. The (g) measured variable is the flow rate of the liquid.

Please code in Python

Please solve the following by hand and without the use of AI. Thank you!

In this problem, you will have to first create a Python function called twobody_dynamics_first_order_EoMS. Given a time t and a state vector X, this function will return the derivatives of the state vector. Mathematically, this means you are computing X using some dynamics equation X = f(t, X). Once you have this function in Python, you can solve the differential equations it contains by using solve_ivp. The command will be similar to, but not necessarily exactly, what is shown below: solve_ivp(simple_pendulum_first_order_EoMS, t_span, initial_conditions, args=constants, rtol 1e-8, atol 1e-8) which integrates the differential equations of motion to give us solutions to the states (i.e., position and velocity of a satellite). In the above, t_span contains the initial time to and final time tƒ and it will compute the solution at every instant of time (you will define this later in Problem 1.3 below). The integration is done with initial state vector Xo which defines the initial position…

Please solve this exercise found in NISE, control engineering book. Please solve this using the translational mechanical system transfer fucntion method and kindly explain as well since this is an exercise to master the topic. Thank you very much!

I need answer in handwritten

The Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by: x = 0 00 -30.3 0.00012 -6.02 0 0 0 -3.77 00 0 -2.80 0 0 Is the system?: a. unstable b. C. not unstable x+ 6.15 0 0 0 0 3.04 0 0.052 not asymptotically stable d. asymptotically stable -1 u y = 0 0 0 0 -7.3 0 0 -25.0 X

1) Obtain the Mechanical system equivalent to the above electrical System (show it as a diagram). In addition, provide the mathematical model of the obtained mechanical system. 2) What is the output of the system in terms of Matrices C and D (if exist).

Q2 The position of an elevator h(s) is controlled by means of lifting cables. A feedback control system is used to control the force applied by the cables to the elevator. The transfer function of the plant is, 1 Gp(s) = Controller Elevator hr(s) h(s) E(s) G.(s) GP(s) A unit step input is provided. If only proportional control is used, show that the position of the elevator oscillates about the reference value of 1. Find the period (a) of this oscillation. (b) Show that the addition of derivative action to the system can ensure a non- oscillatory response. Find a relation between the derivative and proportional gains that ensures the response is non-oscillatory. (c) When the proportional and derivative gains are set to Kp = 9 and Kd = 6, respectively, find the damping ratio and natural frequency of the system. Derive the time-domain response of the elevator for a unit step input and confirm that it is not oscillatory.

Rotational Mechanical System: Find the transfer function for each rotational mechanicalnetwork shown below.

Hi, I could use some help with the following problems for controls. I am trying to get this to work, but I keep getting stuck. I'm trying to review some problems for an upcoming test by using some online resources.

1) a) Derive the mathematical model for the system shown below. b) Find a state variable model (matrix form) for the system. b) Determine state matrix, input matrix, and output matrix, when f (t) is defined as the input and X2 is defined as output for the system. (Here, both of the X1 and x2 , are time-dependent functions) » f(t) X1 X2 3,000 N 1,000 N 4,000 30 kg 20 kg 200 유 N.s

You are given a linear resonant actuator used for haptic vibration cues in phones - a device that might produce the vibration that happens when you get a notification. A basic model is shown on the left. For this problem, you'll need to derive the EOMS for the system (it will be a second order system) and then put it into a number of different system representation forms. Your tasks: karm Carm • I1 = Act • X2 = *1 • I3 = IP Actuator electromagnetic force Fact • I4 = 3 • U = FAct mp Fact kact Cact Xp mact Xact CHALOS CURRENT CONDUCTING PRECISION MICRODRIVES PRECISION HAPTIC™ NOVING MASS No 8 NEOUTMUN FLOCCUT BAGNET 0:0 AND VOICECORIS Z-AXIS LINEAR RESONANT ACTUATOR Credit Precision Microdrives. Ltd. FLYING LEADS FLEX CIRCENT NEOUT MALAET SELFDESVE CASA VERATING BASS ASSEMBLY A. Using Newton's Laws of Motion, derive equations of motion for the system using the variable names given in the figure on the left…

The joint of a robot's shoulder can be modeled by the rotational mechanical system shown below. Calculate the transfer function G(s) = 0m(s)/Tm(s). Take bm = bL = 1 N-m.s/rad, k = 7.9 N/m, Im = 1 kg.m2, and j = 2.2 kg.m2. Upload your calculations in the next question. %3D %3D %3D Max arm inertia case Shoulder actuator model After normalizing the highest power of s in the denominator of the transfer function, what is the power of s in the denominator?

As the control engineer on a project you are given the following information: a) The free body diagram representation of a mechanical system with the various values for the damper, spring and mass. The transfer function for the system is also provided. 28 N/m -x(1) 1 G(s): - f(1) s? +s+5.6 5 kg 5 N-s/m b) The step response plot for the system. Step Response 0.14 0.12 0.1 0.08 0.06 0.04 0.02 10 Time (sec) Your task is to analyse the system and to confirm that the diagram is for the system in a) i.e. calculate all time responses and compare your answers with the data in the graph. apnadu

Consider a cruise control system shown in Figure 1. Where f is the engine force, v is the velocity, fb is the friction force, and fb  = bv. Requirements: Assuming M = 2000 kg, b = 80Nsec/m, and f = 600 N: Find the transfer function of the system.

Explain the state space function

solve, show solution and matlab code, vibrations

QUESTION 5 Consider the system whose block diagram is shown below. D(s) R(s) + + C(s) K G(s) G(8) R(s) is the reference input or target, and D(s) is the disturbance input. Gp(t) is the plant (house, motor, car,...) transfer function, Gc(t) is the compensator transfer function, and K is the compensator gain given by 1 G (s) G (s) = P s+10 1 3s+2 and K=5. Find the transfer function, C(s)/R(s). 3 s²+16s+14 8 3s²+32s+25 S 382+8+6 8(s+ 10) 3s² + 32s+25 3s+2 3s²+32s+25 5 3x²+32x+25