Understanding Motor Controls
3rd Edition
ISBN: 9781305498129
Author: Stephen L. Herman
Publisher: Cengage Learning
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Chapter 15, Problem 2RQ
What type of switch is contained on most flow switches?
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This is a tilt and rotation question. Here are notes attached for reference. ONLY UPLOAD A SOLUTION IF YOU ARE SURE ABOUT THE ANSWER PLEASE.
(b): Let us first consider controlling the orbit of deputy spacecraft to rendezvous with chief spacecraft.
Define x = [r] and x = x = R to represent the deputy orbital state and its target (= chief
orbit) in Cartesian coordinates, respectively. The control input is thruster acceleration, u € R³, in the
ECI frame. Denote the relative state by dx = x-x. Table 2 summarize the initial orbital elements.
Table 2: Keplerian orbital elements at epoch (t = 0) for deputy and chief about Earth (ECI frame)
Orbital element
Deputy
Unit
Chief
semi-major axis
ad =
11500
ac 10000 km
eccentricity
inclination
ed = 0.15
id=35
ee = 0.3
i = 50
degree
right ascension of ascending node d = 50
Ως = 50
degree
argument of periapsis
true anomaly at epoch
Wd
Vd= 0
=
40
We =
40
degree
Ve=0
degree
(b.1): Derive the error dynamics of our system in ECI frame under the influence of u.
(b.2): Consider a candidate Lyapunov function V = ½dr¹ K₁dr+dv₁dv, where K₁ = K, and K, > 0.
Discuss the positive definiteness of V, and…
One image show problem c.1 and c.2 that I need help with. The second image shows the lyapunov function and its derivative but it is NOT the same function that is given in problem. I have attached that image as an example.
Chapter 15 Solutions
Understanding Motor Controls
Ch. 15 - What is the common name for an air flow switch?Ch. 15 - What type of switch is contained on most flow...Ch. 15 - Refer to the circuit shown in Figure 15-2. Why is...Ch. 15 - Refer to the circuit shown in Figure 15-6. The...Ch. 15 - Refer to the circuit shown in Figure 15-6. If an...Ch. 15 - Refer to the circuit shown in Figure 15-6. If the...Ch. 15 - Prob. 7RQ
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- This is a tilt and rotation question. Here are notes attached for reference.arrow_forwardThe crate of mass m is supported on a cart of negligible mass as shown in (Figure 1). Determine the maximum force P that can be applied a distance d from the cart bottom without causing the crate to tip on the cart. Express your answer in terms of some, all, or none of the variables b, d, h, m, and the acceleration due to gravity g. P B harrow_forwardConsider a pair of pipes running in parallel, through which 1200 GPM flows, which have thefollowing features:Pipe 1: Carbon Steel, Schedule 40, 8" Diameter, 1200 GPM, Water at 44°F, Fittings:2 tees, 2 butterfly valves, 2 pressure gauges with their respective ball valves, 1 valvemotorized balloon. All valves are completely open. Length of the pipe is 6 feet. Pipe 2: consists of a carbon steel bypass pipe, schedule 40, diameter of 4",with the following accessories: 2 elbows long radius of 90° and an open globe valve.The length of the pipe is 10 feet. a) Determine the flow rate in each pipe.b) The pressure drop.arrow_forward
- 1-ft3 of air is contained in a spring-loaded piston-cylinder device. The spring constant is 6 lbf/in, and thepiston diameter is 12 in. When no force is exerted by the spring on the piston, the state of the air is 250 psiaand 450◦F. This device is now cooled until the volume is one-third its original size. Determine the changein the specific internal energy and enthalpy of the air.arrow_forwardThis is a tilt and rotation question. Here are notes attached for reference.arrow_forwardThis is a tilt and rotation question. Here are notes attached for reference.arrow_forward
- I need help with a MATLAB code. For question b.6 I have the MATLAB code shown below. How do I edit the code to answer question b.7. Please make sure the plots are reasonable. clc; clear all; % Constants mu = 398600; % Earth gravitational parameter, km^3/s^2 % Initial chief and deputy positions and velocities in ECI frame % Assume circular orbits in equatorial plane for simplicity a_c = 10000; % km a_d = 11500; % km r_c0 = [a_c; 0; 0]; v_c0 = [0; sqrt(mu/a_c); 0]; r_d0 = [a_d; 0; 0]; v_d0 = [0; sqrt(mu/a_d); 0]; % Initial relative state delta_r0 = r_d0 - r_c0; delta_v0 = v_d0 - v_c0; x0 = [delta_r0; delta_v0]; % 6x1 initial relative state % Time span tspan = [0 3600]; % 1 hour in seconds % Damping cases cases = struct( ... 'name', {'Critically damped', 'Under-damped', 'Over-damped'}, ... 'Kr', {eye(3)*2.5e-3, eye(3)*0.001, eye(3)*0.01}, ... 'P', {eye(3)*0.01, eye(3)*0.0006, eye(3)*0.02} ... ); % Simulate each case for i = 1:length(cases) Kr = cases(i).Kr; P =…arrow_forwardJust do Questions 7, 9, 11. Here are notes attached for reference.arrow_forwardThis is a tilt and rotation question. Here are notes attached for reference.arrow_forward
- Thermodynamics: Mass and Energy Analysis Of Control Volumes A spring-loaded piston-cylinder device contains 1.5 kg of carbon dioxide. This system is heated from 200kPa and 25◦C to 1200 kPa and 300◦C. Determine the total heat transfer to and work produced by this system.arrow_forwardCan you help with a code in MATLAB?arrow_forwardI need help writing a code in MATLAB. Please help me with question b.6arrow_forward
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