Homework Statement
Attached below.
Homework Equations
How can I know I got the correct set of parameter in step 5. I did everything using MATLAB but couldn't figure out how to get the right value of the zero.
The Attempt at a Solution
Attached below.
1. I have to use Simulink to check the step response of a state feed-back design (controller) and state estimator (observer). I did the problem and got matrices that I need for the desired poles but I'm not sure how to use Simulink to do them.3. I really don't want to post the exact vales to my...
This is a revision question rather than homework as I have the answer and working.
I have attached the block diagram and first part of the answer which explains how to derive the transfer function from first principles. I understand the principles behind this and how the RHS of the equation...
Homework Statement
Since this is a third order system and there will be a zero in its transfer function i am confused that how the natural frequency and K will be linked ? Please do help i really get confused in these type of problems.
Homework Equations
The Attempt at a Solution...
I'm trying to get the transfer function of this rigid control system that uses rate feedback to stabilize it. Using k=1 and kv=0
Attempt at a solution.
When kv=0, the rate feedback is removed.
In the block diagram, I moved the pickoff point and used the cascade rule to get 1/s^2
and...
When designing a State Observer for a control system the observer poles (eig(A-LC)) should typically be about 10 times faster than the controller poles (eig(A-BK)).
But when designing a digital control system what does it mean for the poles to be faster? For the analog case it simply means...
I am trying to implement a digital state space control and am confused about something. The system has the standard state space form:
x(k+1) = Ax(k) + Bu(k)
y(k) = Cx(k)
The vector y(k) comes from the sensors measurements and u(k) is what is sent to the actuator, right?
Why is time constant form of transfer function in control system better than pole zero form ?
If a closed Loop transfer function is given to me how should i find D.C gain ?
I'm 95% sure I got it all correct, but I'd appeciate another set of eyes
Homework Statement
1) What's a thermistor? What is its principle of action?
2) What's a thermocouple, and what is its principle of action?
3) How does temperature transducer act based on the bimetal principle...
with s being the sensitivity of a transfer function GC/(1+GC) to the parameter G. (1/(1+GC)
I see mathematically how it works out. My question is about the profoundness of the statement. Qualitatively, what does it mean
Homework Statement
A car park has 5 parking slots. When the fifth car enter the car park, a red light notification will turn on indicate the car park is full.
When the car park cars decrease from 5 to 4, the red light is distinguished.
Homework Equations
The Attempt at a Solution
I set the...
Hi all, got a Control question here, and I'm struggling with what I assume is a simple algebraic step. Thanks in advance!
Homework Statement
A closed loop control system governs the level of water in a tank (H(s)) to meet a target height (Hi(S)). The flow of water into the tank is controlled...
Hi. I've just started working with the MPR121 capacitive sensor (at the moment I'm working with the MPR121 breakout board sold by sparkfun) for an application that involves detecting a toolhead's distance above a work surface. It's not a problem to ground part of the tool head and some initial...
Homework Statement
This question came up in a computer science / robotics exam and I still don't know the solution for it. I figured out that it's classical mechanics related, so I thought this might be the best place to ask it.
Homework Equations
C = A*x + B*dx/dtThe Attempt at a Solution
I've...
Homework Statement
I am supposed to design a control system with feedback and disturbance feed-forward, with all relevant transfer functions.
The system consists of an oven where the temperature T is controlled by an electric heater that dissipates power P_{in}. The temperature outside...
Given the following system (d(t)=0), I'm supposed to calculate the steady state error for unit step and unit ramp inputs respectively.
Basically, the open-loop transfer function of the system is
\frac { 3s+0.5 }{ s({ s }^{ 2 }+3s+8) }
The closed-loop system is
\frac { 3s+0.5 }{ { s }^{ 3...
so i made a state space model of a physical system where A matrix is 4 by 4 and B matrix is 4 by 1. I have 2 inputs in the system and 1 output.
I used Matlab to create the A,B,C,D matrices and i used the ctrb (controlability matrix), then the rank function.
instead of rank 4 (full rank) i...
Let's say I have the following transfer function:
G(s)=\frac { s-1 }{ { s }^{ 4 }+2{ s }^{ 3 }+{ 3 }s^{ 2 }+{ 4s }+5 }
Which is run through MATLAB to obtain the pole-zero format:
G(s)=\frac { s-1 }{ ({ s }^{ 2 }+2.576s+2.394)({ s }^{ 2 }-0.5756s+2.088) }
Using a quadratic solver...
Hey everyone, I'm brand new here, so please bare with me if my question doesn't come out right.
Homework Statement
So for my senior design class I am working with a control system that balances an inverted pendulum. Here is my SIMULINK diagram...
Homework Statement
I have the following matrix:
A=[0 -1; 0 -1]
and i need to calculate: exp(At) in several ways, 2 of them are using the reverse Laplace transform and using: I + Ʃ(A^kt^k)/k!
i have tried to start the series but i am getting an expression that i can't say which series it...
hello friends..i really need some help on my project, i am going to design a control system for a lawn mower..this mower must be able to move by itself using PIC as the brain,can avoid obstacle,move along path created on the field..what details component must i buy aand how to assemble this...
Suppose you have a reaction wheel or a control moment gyroscope on your spacecraft for attitude control. This would be a self contained unit, with 3-axis control. Either device utilizes the conservation of angular momentum, trading angular momentum between the unit and the spaceship frame as...
Hi,
I have a small project coming up, based around modeling (and perhaps building) a small Micro UAV system. Its a small device with contra-rotating blades (for stability), and I want to perhaps model the control system using simulink but I really don't know where to start! The aim is for the...
My system is a compound pendulum hinged at some distance from one end and have a propeller mounted dc motor at the other end. I wish to position the pendulum with the help of motor propeller system.
I tried but i am unable to get a mathematical model for it. I am getting a non linear model...
I am doing Control on Three Tank System using Simulink and I am newbie in Simulink. I am having a problem in the Simulation of Simulink. I am having the equation as below:
az1×Sn×sign(h1-h2)√(2g|h1-h2|)
where
az1, Sn and g is constant.
h1 and h2 is the input of the system.
This...
I am designing the thermal control system for my senior design class. We are designing a lander to go to the surface of Jupiter's Icy moon, Europa. I've been researching about thermal blanketing and coatings for the lander, but other than just the materials that it can be made out of, I haven't...
Homework Statement
(See Attachment for image)
Part 1)
This system is a model of an actuator with internal springiness, also called a series-elastic actuator.The system naturally decomposes into two subsystems: i) the mass of the actuator m1 with viscous friction b1 due to sliding on the...
I am studying for an exam coming up and came across a question that i am having a little trouble with.
[PLAIN]http://img442.imageshack.us/img442/825/screenshot20101112at110.png
I think i could do this in MATLAB, however i will obviously not have MATLAB in this exam. I have a set of equations...
I recently extracted the control system out of a severely damaged RC aircraft (a very simple kit deal). It's got two servos, and a pretty good motor, which works out perfectly for me!
I want to build a new aircraft from scratch using the recovered control system. For the fuselage I'm...
Hi guys.
I am a Mechanical Engineering Student but we've a course called Control systems. My question is why does any system(physical like fan,motor or electronic like amplifier) have a TRANSIENT RESPONSE and specially why do electronic components like amplifiers,diode or for that matter any...
Homework Statement
Please see attachment for block diagram of the system.
Starting with the block diagram given in Figure 2 derive an expression for the overall transfer
function of the system, where Gc(s) is in the form given by Eq. (1). Show that the system is a
Second Order system...
Hi everyone,
I'm designing a light-weight hovercraft (2 light fans, 4x1.5 V batteries, 30x20cm in size). It needs to travel 6m straight ahead, then make a 90deg turn to the right and travel on for another 2m.
The problem is that the craft must make this turn ON ITS OWN, meaning that there...
Hello,
I am in a aircraft dynamics and control class. I am supposed to design a lateral - Directional control system for a UAV in simulink. i.e the plane is starting from North - 0 , East - 0 and 10000ft altitude, and is to go to a way point at some distance N , E and remain at 10,000 alt...
Q:
1) A thermometer requires 1min to indicate 98% of the response to be a step input. Assuming the thermometer to be a first order system, find the time constant.
2)If the thermometer is placed in a bath, the temperature of which is changing linearly at a rate of 10degrees/min, how much...
Hello I have a project in the works that requires a DC motor to turn a somewhat heavy (but with good bearings) gear assembly. The whole thing will be running off of a common computer power supply at 12V. I haven't selected the motor just yet but am leaning toward maybe an old cordless power...
Hi guys,
I have this problem for my undergrad final year project. I'm trying to design a control system to regulate the voltage output for a boost converter and I am not too familliar with control theory.
I've built the control system in MATLAB based on the basic boost equation...
Homework Statement
F = Fahrenheit
A particular temperature control system uses electrical heaters, exterior thermal insulation and a thermostat for maintaining the temperature at 170 F +/- 1 F. The thermostat turns the heater on when the temperature drops to 169 F and on at 171 F. Heater...
Homework Statement
question:
find maximum velocity error constant(Kv)
feedback is :1 positive
the book says the right answer is:0.75
but every time i calculate E(s) it goes to the wrong answer!
please help!
Doing a Cascade Control lab and I'm stuck on a question. Its asking me how to implement critically damped into a control system. I can't find it any where in my books or the net. thanks.
Hi there. I'm wondering if anyone can help. I've got a few past papers I'm working on at the moment and there are a few questions I don't even know where to start with. Here's one:
a. Write down the transfer function for a time delay and then evaluate its corresponding frequency response...
Hi
I was reading BC Kuo's Automatic Control Systems where I came across a solved problem (page 369 of 7th edition) regarding velocity control. I have a problem understanding how the steady state error has been computed. The original problem and its solution as given in the book are quoted...
Homework Statement
Please refer to the image attached for problem statement and diagram.
There's an inductor somewhere, but I have no idea where and I don't know how to accommodate for it. I can also see that there's another energy storage device, the spring on the right.
I have no idea...
Hello,
I am currently trying to design a system that will sychronize two propellor motors, and I must design using the following equation:
w'*I + (w^2*r^2*p*S*C_d)/(2) = T_t + T_ss
w' = Angular acceleration
I = moment of inertia
w = angular velocity
r = radius of blade
p = air density...
Hello,
I am hoping to build a model rocket with a roll control system for my senior project. Since the idea of building or obtaining a wind tunnel seems infeasible I will need to theoretically calculate how this rocket will behave with various canard fin angles and at various air speeds. I...