The block diagram of a time-invariant linear continuous time system is given below. G 1 (s) , G 2 (s)and G 3 (s) are the transfer functions of subsystems.Determine the stability of the whole system .G1 (S) = 51G2 (S) =(S +2)G3 (S) = 3W(S)G,(S)G2(S)Y(S)G3(S)O asymptotic stableindecisiveWe cannot comment on stability.O borderline stable

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Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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A) Reduce the block diagram. B) G1(s)= 2/s, G2(s)= 1/4s+2, G3(s)=4, H(s)=0.5 According to these; find the time constant, natural frequency, damping rate, and dynamic behavior. C)G1(s)= 2/s, G2(s)= 1/4s+2, G3(s)=4, H(s)=0.5 Find the poles, zeros, and reverse Laplace of the system. Is it stable or not?
The response of a system, h(t) is given as in Figure 1 below where the amplitudeof this signal is 7. Then,this system is excited by an input of x(t) = (u(t) × (u(-t)+u(t))) /1. 1)Illustrate the input signal, x(t). 2)Calculate the convolution output of the system y(t) = x(t) ∗ h(t). Nextdetermine y(t) when t is 1 sec 2)Prove the solution in Q2 is comparable when solving in frequency domain(Laplace). Next, sketch the signal for convolution output.
A plant has the transfer function given by G(s)=1(s2+3s+1)(s2+7s+1)G(s)=1(s2+3s+1)(s2+7s+1) and is controlled by a proportional controller Gc(s)=KGc(s)=K as shown in the block diagram in Figure. For a stable system, calculate the value of KK that yields a steady-state error E(s)=Y(s)−R(s)E(s)=Y(s)−R(s) with a magnitude less than 0.010.01 for a unit step input.
For the system with forward path gain G(s)=s+5s2+3s+2G(s)=s+5s2+3s+2 and feedback gain H(s)=1s+3H(s)=1s+3, input R(s)=8sR(s)=8s will be applied. Find the steady-state error (ess) that will occur in the system and enter it into the space given below
Solve All parts or will dislike answer A. Find the open-loop transfer function . Y(S) / R(S)B. Find ?(?) when the input ?(?) is a step function (use expansion of partial fractions).C. State the damping factor ?.D. Indicate whether the system is overdamped, underdamped, or critically damped.E. Indicate the natural frequency of the system ??.F. Indicate the poles and zeros of the system.G. Use the end theorem to find the steady-state value.H. Find ?(?) (use inverse Laplace transform).I. Plot the time response of the system.
Given the plant transfer function, G(s) = 90/ s(s+4) and H(s) = 1. Obtain (i) characteristic equation (ii) damped frequency of oscillation (iii) damping ratio (iv) settling time (v) delay time
A system has a damping ratio of 0.5, a natural frequency of 100 rad/s, and a dc gain of 1. Find the response of the systems to a unit step input.( from the canonical form solve for the response of the system) G(s)=Blank 1
The block diagram of a time-invariant linear continuous time system is given below. G1(s), G2(s) and G3(s) are the transfer functions of subsystems. Determine the stability of the whole system.
a) Y(ω) = 1/(5+jω) The expression above defines the frequency domain signal Y(ω) from a time domain signal y(t) i) Determine the imaginary & real parts of Y(ω). ii.Determine the signal y(t) that produced the signal Y(ω). b)What are the 3 areas of application of i.Signals ii.Systems c) Briefly summarise with explanation the difference between discrete & continuous time signal and also write an expression that describes each signal type.
The system whose characteristic equation is given as s3 + 2s2 + Ks + 20 = 0 is asymptotically stable for which K values
: If F(s) = s 4+ 5s3+20s 2 + 40s + 50 , Investigate the stability of this system
The mathematical models of some continuous time systems are given above. x(t) is the input signal of the system, and y(t) is the output signal of the system. Which of the following systems is linear and which is nonlinear? For linear systems, write "linear" in the space next to the option. For non-linear systems, write "non-linear" in the space next to the option.

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