Determine K, so that ğ = 0.6. Find the corresponding time domain specifications. 20 R(S) 5+ 2) KS
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Q: Q3: A: Sketch the root locus plot of the system with OLTF given by: K G(S)H(S) S(S2+25+2)(S2+6S+10)
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Q: 12.40 Find f(t) for each of the following functions: 8²+37+32 F(s) = T+1)(+2)(*+4)
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Q: :Sketch the root locus plot for O.L.T.F. k G(s)H(s) = %3D s2(s² + 1)
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Q: 4. Sketch the even and odd parts of the unit step signal x(t) = u(t) as shown on Fig. u(t)4 5.…
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Q: Q3: A: Sketch the root locus plot of the system with OLTF given by: K G(S)H(S) =…
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Q: Q7: Sketch the root locus plot for O.L.T.F. k G(s)H(s) = %3D s³(s + 1)
A: It is given that: GsHs=ks3s+1
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- The block diagram of a time-invariant, linear, continuous-time system is given below. X1(s) and X2(s) are the state variables of the system. U(s) is the input signal of the system, Y(s) is the output signal of the system. What is the value of parameter E?If G(s) = 1 / (s + 2), find the response c(t) if the input r(t) = u(t), a unit step, assuming zero initial condition.Sketch |F(ω)| versus ω when A=10 and τ=0.1. Hint: Remember that|F(ω)| is an even function of ω.
- Make the equation s(s+1)(s+2)+K=0 in the form of 1+KF(s) and explain the drawing of root-locus curves. (Note: Indicate the splitting points, centers and angles of the asymptotes)An electronic temperature sensor converts temperature in kelvin to output microamperes. When it is immersed in water, its transfer function is: I0/ T (s) = 1,5 X 10-2 / (S+0.3) (S+0.05) (A) Sketch and dimension io(t) when, at time t = 0, the sensor is taken out of a glass of 20oC water and immersed in a glass of 55oC water. (B) How long will it take io(t) to reach 99.8% of its steady state value?25 - When the unit step function is applied to the system input given the block diagram below, the output response takes the value c (0.2) = 0.11 for t = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the time constant of the system? calculate.A) 0.5 sB) 0.33 sC) 2 sD) 0.25 sE) 1 s
- Signal and system The mathematical model of a system is y" (t) + ay'(t) + by(t) = a (t) + ca (t) where a=1, b=2 and c=1. 1) Find zeros and poles of the system. 2) Show them onto the S-Plane (the complex plane) 3) Discuss the BIBO stability of the system.: If F(s) = s 4+ 5s3+20s 2 + 40s + 50 , Investigate the stability of this system15 - When the unit step function is applied to the system input given the block diagram below, the output response takes the value c (0.2) = 0.11 for t = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the steady-state error of the system? calculate.A) 0.33B) 0C) 0.25D) 0.5E) 0.67
- The switch in the circuit has been closed for a long time before opening at t=0. 1. a) Construct the s-domain equivalent circuit for t>0. 2. b) Find Io. 3. c) Find io for t≥0.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?When the unit step function is applied to the system input whose block diagram is given below, the output response takes the value c (0.2) = 0.11 fort = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the time constant of the system? calculate.