Response Definition and 538 Threads

QUESTION: 1) Why are Time Response Characteristic's Expressions derived from only from Zero State Equations? NOTE: Nise Control Systems Engineering 6ed uses step inputs to derive Time Response Characteristics for 1st and 2nd order ordinary differential equations...

Homework Statement The problem is attached in the file "selection(1).pdf" The explanations/solutions are attached in "selections.pdf" which is below [Problem image - added by moderator to make it visible in-thread] Looking at how they solved part C, I have no idea why they say that the...

CONCEPTUAL QUESTIONS: -Does the Homogenous Solution represent the Transient Response? Let me specify. For a N-DOF spring, mass, and damper mechanical system: -Does the Homogenous Solution represent the Transient Response for given mechanical system? MY ANSWER: Yes. ASSUMPTIONS: -only...

Homework Statement Here are the free response questions:[/B] https://secure-media.collegeboard.org/digitalServices/pdf/ap/ap15_frq_physics_c-m.pdf Here are the solutions: https://secure-media.collegeboard.org/digitalServices/pdf/ap/ap15_physics_cm_sg.pdf I do not understand how they solved a...

I`ve been able to use excel to plot the trajectory of a harmonically driven duffing oscillator for arbitrary parameters using Runge-Kutta method. I would like to do the same thing for the frequency response, but I simply can not figure out how. I am not very mathematically advanced so the first...

Homework Statement Sketch output respons of system who have a input is a unit step (Amplitude of the system = 1)Homework Equations · Damping factor = 0,5 · Gain factor = 2 · Natural angular frequency = 4 Rad/sThe Attempt at a SolutionI have: 1. Draw a step respons in a x-y axis 2. And...

Homework Statement Consider a LTI system for which the filter coefficients are ##{\mathrm{h}_k}=\{1,2,1\}##. Find the output when the input is ##\mathrm{x}[n]=3\mathrm{cos}(\frac{\pi}{3}n-\frac{\pi}{2})-3\mathrm{cos}(\frac{7\pi}{8}n)##. Identify two frequencies in this composite signal. Show...

Hello. I would need some clarifications about the impulse response of a RC circuit. 1. Homework Statement Find the impulse response relative to the vc(t) voltage. NOTE: delta(t) is the exact dirac's delta of infinite amplitude, not an approximated peak. Homework Equations δ(t) = d θ(t) /...

Homework Statement Could someone just quickly check my Step Reponse diagram which I made using Matlab. It does not look like the usual shape for a step response system which is making me a bit worried. I'm a fairly new to Matlab and Control Engineering Homework Equations G(s) = 3 / ((s^2) +3)...

Homework Statement :[/B] I would like to know if the definition of the ZSR response means that the initial condition at any t0 needs to be 0.Homework Equations :[/B] let's say : we're trying to calculate the ZSR response from a first order equation of the voltage of a capacitor and the initial...

Prompt: Write a brief essay on your academic and career goals, and what you hope to gain from our REU program. There are no length requirements, but typically essays are 200-500 words. The following is a draft, it's complete but I'd like some feedback on what I have now. Any criticism is...

I'm a first year electrical engineering student and I had a lecture on Analogue and power electronics today. The main topic the lecturer was talking about was headphones and stereo systems etc. We learned about frequency responses and looked at product specifications and circuit analysis and...

Homework Statement We are given that system of 1st grade 1/2 * dy(t)/dt + y(t) = x(t) 1) We need to find frequency response { H(w) } 2) We need to find circular frequency -3dB 3) We need to find the absolute value of H(w) in dB for frequency f = 3/π Hz 2. Homework Equations (log is always...

Hi, I am struggling to understand the maths in the text shown below. (1) How does: r(t) = Acos(wt)+Bsin(wt) become; sqrt((A^2)+(B^2))cos(wt - arctan(B/A))? (2) He states that we can represent the input as a phasor and in one of three ways but doesn't say which one. (3) He then focus on the...

Homework Statement The first order ramp unit response is shown in the graph below. Determine: 1. The transfer function. 2. Plot the error function e(t) then determine its maximum magnitude and the time http://s24.postimg.org/cdbhqm80j/Capture.png Homework Equations G(s)=(1/T)/(S+1/T) ... G(s)...

Have you noticed this or do you do this ever? The instant someones surprised about something they take a quick breath in. Why does this happen, ..and also, Is there some word that describes this? a word that describes that reflexive aspect of being startled? Also did Shakespeare have any nice...

Yes I fully understand that the people on this form have all of the schooling , degrees and knowledge that they have accumulated to accomplish all kinds of things. And buy my simple question, I did put on display my complete lack of knowledge in the things pertaining to my question. And you are...

Hello engineers! I have a project to measure/ obtain natural frequency of torsional vibration. Below is the detail: 1. Object measurement: Two rotor attached to one shaft and the shaft is supported by two bearing. The shaft is connected to a motor. I give the scheme below. 2. Equipment: two...

I am trying to understand why/when a purely ohmic voltage divider (impedences Z1 and Z2 are both resistors) would have a delayed response for high-speed, transient changes in an input voltage? Whether the input is high-freq AC, or simply a square wave with a sharp rise or sharp drop, I've been...

Some textbooks like (Numerical recipes the art of scientific computing) derive the DFT as a Riemann sum of the CTFT. With this in mind it would be natural then to approximate the identity ##y(t)=x*h=\mathcal{F}^{-1}\big\{XH\big\}## with the mathlab code y=ifft(fft(x).*fft(h)) which roughly...

Homework Statement Locate the poles of the response function \alpha(\omega) in the complex plane for an LRC circuit. Homework Equations \alpha(\omega)=\frac{-i\omega}{L}\frac{1}{\omega_0^2-\omega^2-i\omega\gamma} \omega_0^2=\frac{1}{CL} \gamma=\frac{R}{L} The Attempt at a Solution So we've...

The following circuit is giving me the following response at each resonator, however it's not the correct response. There's supposed to be a time delay for each resonator response, however they're all more or less starting around 0 seconds...when I'm expecting a proper time delay between each...

Good day all, I have a question: I built a passive high pass filter in an experiment using a hand wound inductor (toriod) and a resistor. The filter worked great as a high pass at frequencys ranging from 100 Hz - 1,000,000 Hz (rolling off around 10,000 Hz). After creating a bode plot, I...

I have a question regarding the solutions to linear-ordinary differential equations. I had originally learned that the solutions to such differential equations consist of a homogenous solution and particular solution. The homogenous response is due to initial conditions while the particular...

Hi everyone. I'm studying for the exam of control theory, and now I'm having an hard time with the response of a system, in particular when we have oscillations. Suppose you have a system, with a transfer function, say, G(S), in the form: G(S) = 1 -------------------...

I am creating a scale model wind turbine using a DC motor as a generator and would like to predict the motor response analytically. Generally speaking, the flow will spin the rotor (as in the turbine's), which will spin the motor, and then there will be what I'm calling the motor response, and...

Homework Statement Find the impulse response for the systems governed by the following equations: 3y(t)'+5y(t)=x(t)+x(t)'[/B]Homework EquationsThe Attempt at a Solution I tried to obtain the homogeneous solution for h(t)[/B] and then I failed to obtain the coefficients of the solution

What's j2 in this problem? 1. Homework Statement Homework Equations The Attempt at a Solution a. What's j2 in this problem? b. How did we use the fact that we have a unit impulse? c. What are our first thoughts and strategies when seeing the problem ? What is our strategy? It looks...

I have been exploring (with limited success) if/how the smell of cooking meat produces known physiological responses (beyond Povlov's behavioral conditioning/salivation, but rather what known components actually trigger the response). Looking for some expertise in biology to get me on the right...

I'm having a bit of trouble wrapping my head around why inductors behave the way they do in certain circuits. Every physical explanation for why ##V = -L\frac{dI}{dt}## that I've seen explains how the voltage across the inductor is developed as the current changes: the changing current means a...

Homework Statement [/B] (a.)Apply the law of conservation of momentum to the perfectly inelastic collision of a moving object of mass m1 and velocity vi with a stationary object of mass m2 (b.) Solve this for final velocity vf (c.) Write a formula for the initial kinetic energy (KEi) (d.)...

Ive read other threads on here about this and am still slightly confused about it. I did a little experiment; and I am hoping someone can help shed some light on the results. The experiment: 1. Create a system: modeled after a simple spring-mass-damper with mass=1 damping zeta=.1, natural...

Homework Statement An electrical network has the unit-impulse response :h(t)=3t⋅e-4t .If a unit voltage step is applied to the network, use the convolution integral to work out the value of the output after 0.25 seconds. Homework Equations Convolution integral: y(t)=f(t)*h(t) Unit step...

Homework Statement Where $$v = y - bu$$ It's given that the transfer function is $$h(t) = b u(t) + v(t) = b \delta(t) + e^{at}b \mu(t)$$ Homework EquationsThe Attempt at a Solution I can't seem to figure out how the impulse response above was found. I understand that the impulse response is y...

I'm trying to model the response of a particle in an anharmonic potential in MATLAB. I know that writing position, x as a function of potential energy U is, where T is the period, m is mass, and E is the energy of the system. How would I get a function for T(E) since it's not independent of...

Homework Statement FIND i(t). [/B]Homework Equations VL = L*(di/dt) (Equation 1) IC = C*(dV/dt) (Equation 2) I(t) = e^-9*t*(A*cos(4.359*t) + B*sen(4.359*t)) A (Equation 3) The Attempt at a Solution I can get the exact value of the constant B as shown in the answer if I use -6 after the...

Suppose we represent the input information as a (nx1) column vector, the output information as another (nx1) column vector and the system response function as a (nxn) matrix. My question, is it possible to calculate the values of the cells of the matrix knowing the input and the output? For...

Homework Statement An accelerometer is connected via a length of coaxial cable to an amplifier. The arrangement is modeled by: (a) a Norton generator in parallel with a capacitor (CP) representing the piezoelectric crystal within the accelerometer; (b) a lumped capacitor (CC) representing...

Homework Statement (see figure)[/B] The switch is initially open for a long time. At t=0 it is closed, and after 1ms it is reopened. Find the voltage across Resistor 2 at (i)0<t<1ms and (ii) t>1ms. Homework Equations V0=120V R1=500 Ω R2=125 Ω Inductance of the inductor = 0.2 H The Attempt at...

I have a system with transfer function: I need the K value that gives the "fastest response, quickest settling time" I know that this value is approximately K=2.2, the question tells me so, but how do I find it? When I plot a root locus for 1 + K* 20 / ( s^3 + 10s^2 + 20s ) I find that the...

Homework Statement I need a program (in PYTHON), which would ask a user his name and grade, then print them both. 1) If the name has a number it, the program has to ask the same question again until the name is entered correctly 2) The same with the grade. If it's higher than 10, the program...

Hello, I'm currently studying for an exam and came across a question I can't seem to figure out. How exactly do we go about calculating the phase of a frequency response. Here is the question, it for part A) iii. Here are the answers to the other parts and the sketch of the magnitude: I know...

I needed help on this AB Calculus Free Response Question: A particle moves along the x-axis do that its velocity $v$ at time $t \ge 0$ is given by $v(t) = \sin( t^2)$ for the interval $0 \le t \le \sqrt{5\pi}$. The position of the particle at time $t$ is $x(t)$ and its position at time $t = 0$...

Is there a relationship between amplitude and phase response of a realizable filter? For the purpose of ease, let us consider only a FIR digital filter. I would like to design a FIR digital filter with a given frequency response (amplitude and phase responses given as a function of frequency)...

Homework Statement Consider a particle of charge q and mass m , free to move in the xy plane in response to an electromagnetic wave propagating in the z direction. Ignoring the magnetic force, find the velocity of the particle, as a function of time. Assume the average velocity is zero...

I don't know what is "bilinear responce". I would be grateful for any help.

Homework Statement Question is when F(s) = ## \frac {(s)^2+2*ζa*Wn*s+(Wn)^2)} {(s)^2+2*ζb*Wn*s+(Wn)^2)} \ ## prove that ## \ {|F(iw)|}^2 \ ## = 1 - ## \frac {4(ζb^2-ζa^2) \tilde w} {(1-\tilde w)^2+4ζb^2 \tilde w} \ ## when ## \tilde w \ ## = ## (\frac {w} {Wn} )^2 \ ## Homework Equations...

I would like to know how to design an amplifier similar to the attached circuit with set -3db points, the lower on the order of 10Hz, and the higher on the order of 10kHz. I have designed amplifiers to work with a set gain, but have not dealt with frequency response before. I designed an amp...

To find the natural response of a RLC circuit driven by a time-varying voltage, why do we assume that there's no forcing voltage driving the circuit even if there is one?

It is theorem of any course on signals that a linear time invariant system, whether in discrete or continuous time, is BIBO stable if and only if its impulse response is summable. The fact that summability implies BIBO stability is easy to prove. In fact, it's on the wikipedia page of BIBO...