Ejercicios 1. Calcule la respuesta y (t) para un sistema LTI cuya respuesta al impulso h(t) y la entrada x(t) están dadas por: h(t)=eu(t) x(t)=eu(-t), a > 0

Q: nd peak time. Al t overshoot? [Sect

A: t=0fv=14-secondK=117% overshoot

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A: Given: 3dTdt=Q-5t To find: Gain and time constant

Q: The magnitude of the steady-state response of an under damper and unforced spring-mass is

A: The amplitude of steady state vibration is - A = Fk1-wwn22+ 2ξwwn2

Q: Q\1 Sketch root locus for the systems below, find k-range for stability, sd. and k at zeta 0.5. k 1.…

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Q: P 5.3: For the pole map shown: (a) comment on the stability of the various first-order systems, A,…

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Q: (a) Derive the transfer function, G(s) = 02(s) / T(s) by hand. (b) Find the percent overshoot, 2%…

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Q: Problem 1. For the OL TF design a Pl compensator to eliminate error completely for ramp input at the…

A: given,open loop transfer functionG=ks(s+3)(s+3)

Q: 7. What is the response to unit step function input when all initial conditions are zero. S(S + 3)…

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Q: Find F(1) OF THE LAPALCE TRANFORM FUNCTION

A: Given; F(s) is the laplace transform of the function,            f(t)=2t2e-t Therefore we have to…

Q: Example # 1 Using complex algebra for a quadratic term, find the inverse Laplace transform of the…

A: Detailed explanation and solution of the above problem uploaded in below picture.

Q: Consider a system which has a forward path transfer function as given below: K G(s) s(s²+7s+25)>0…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the steady state response xss(t)

A: we have to calculate the vale of steady state response

Q: The Routh-Hurwitz criterion to be used to determine the stability of a system with a characteristic…

A: The characteristics equation is given by : Solution : The characteristics equation is given by :…

Q: The close loop system block diagram is given below .Find the transfer function of the given system.…

A: Let us discuss transfer function of given close loop system.

Q: [3 points] Consider the following system: R(s)+, Y(s) ki kps s+10 (a) What type is this system and…

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Q: at DMZ For the following Second-order system and initial conditions, find the transient solution:…

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Q: Assignment: System with Lossless Gears PROBLEM: Find the transfer function,02(s)/T,(s). for the…

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Q: A mechanical system is shown in the figure below. This system consists of a damper (b), spring (k)…

A: Given : To find : Change in response

Q: 5- A system and its response are given in following Figures, determine the values of M, B and K.…

A: Given: The peak overshoot time is tp=2 sec. The function is yt=8.9. Concept used; The equation of…

Q: 6. Consider the mechanical system shown in Fig. 8. Let V(t) be the input and the acceleration of the…

A: Below is the clarified and detailed explanation for above tricky question....if you are ok with my…

Q: For the system whose block diagram is shown in Fig.1, find the overall transfer function by using…

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Q: Problem 4: Derive the response of the following first order system to a step input. mở + cv = f…

A: Given that ,  mv˙+cv=f

Q: Briefly explain the terms time constant, damping ratio, undamped natural frequency and damped…

A: Time constant: It tells us how fast a control variable responds to a given. It is measured as time…

Q: B) For a unity feedback system with the forward transfer function: G(S) K s (1+0.4 s)(1 + 0.25 s)…

A: Step-by-Step Solution:Given Information:Forward transfer function of the unity feedback…

Q: For the following closed loop control system, the characteristic polynomial is: s5+ 5s4 + 10s3 +…

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Q: 7.1 Given the input-output (I/O) equation 2y + 10y = 3u(t) Sketch the response y(t) for a step input…

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Q: QUESTION 5 An open-loop transfer function for a root locus is given as: 2K (S + 4) S(S+ 2) (S + 8)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Determine the value of F(1)

A: Given : F(s) is the Laplace transform of the function, ⇒f(t)=2t2e-t we have to find the function…

Q: Determine the steady-state (forced) response and the time constant (or dominant tin each of these…

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Q: 6. Consider the control system in Figure 7.62, where the loop transfer function is K(s² + 5s + 9) s²…

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Q: 6. Compute the response of 0 12 -2 * (t) + x (t) = 0 10 -2 12 where the initial conditions are x (0)…

A: Step 1: To solve this second-order constant coefficients linear ordinary differential equation…

Q: Figure 2). 1.2 1 0.8 Peak value: 1.1878 0.6 Peak time: 2.0723 sec 0.4 splacement of mass

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Q: 5. Calculate the response of the system below 27 -3 [ 8 1 ] * 0 + [2] 3³] × 0) = 0 (t) -3 given the…

A: Step 1: Step 2:

Q: Find the time response of the one-step function of a system that has a transfer function in the…

A: Given: Gs=10s+24ss+5s2+3.5s+12.35 Hs=1 To find: Unit step response

Q: Q2: a): In the system shown in figure below. Find the steady state error if the input r(t) = 1+ 2t…

A: Inputand In the system, given  below

Q: 5. Afeedback system's open-loop transfer function is K G(s) = s(s+ 3)(s+ 6) 1)Sketch the system root…

A: The feed back loop system is given

Q: Example: Find Laplace transform of function: 1 F(s) %D (s + 1)(s² + 4)

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Q: QUESTION 2 Consider a system model given by d²x (1) dt² 2- + 3x (t) = 48 (1) x (0) =1 dx (t) dt =…

A: Given:The system model is given below;

Q: 5) Consider the linear system described by the following differential equation: * + 2ax + (a²+4)x=…

A: Given Data: x..+2ax.+a2+4x=F(t)F(t)=δ(t)   To Find: (a) Transfer function. (b) Unit impulse…

Q: Use the convolution integral method to derive expressions for the response of an undamped system…

A: For figure the force function will be so the Duhamel Integral expression can be written as

Q: A position system is modeled by an ODE: d'x(t) dt dx(t) + 13x(t) = u(t) Compute the Laplace…

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Q: The time taken to attain the response within + 2% of the steady state value is known as O a.…

A: Settling time: Settling time is a time require for a response to become steady. It is defined as…