B-6-9. Plot the root loci for a closed-loop control system with G(s) = K(s + 9) s(s² + 4s +11) H(s) == 1
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Modern control engineering 4th edition, chapter 6. I would like to understand the details of the method for doing this. Thank you in advance for your answer.
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- Find the values of K₁ and K₂ to yield a peak time of 1.5 seconds and a settling time of 3.2 seconds for the closed-loop system's step response. R(s) + OK₁=0.8984, K₂=0.04 OK₁=0.5197, K₂=0.045 OK₁=0.5949, K₂=0.05 ⒸK₁=0.4218, K₂=0.06 K₁ 10 s(s+ 2) K₂s C(s)B-5-21. Consider the following characteristic equation: s4 + 2s³ + (4+ K) s² + 9s + 25 = 0 Using the Routh stability criterion, determine the range of K for stability.a) How many poles are in the right half-plane for the open-loop system below? b) How many poles are in the left half-plane for the open-loop system below? R(s) -6 C(s) 56 + s – 6s4 + s² + s – 6
- Locate the closed-loop poles on the root loci such that the dominant closed-loop poles have a damping ratio equal to 0.5. Determine the corresponding value of gain K. B-6-7. Plot the root loci for the system shown in Figure 6-100. Determine the range of gain K for stability. R(s) Figure 6-100 Control system. K 3² (x+2) C(s)B-6-21. Consider the control system shown in Figure 6–111. Design a compensator such that the dominant closed-loop poles are located at s - -2 + j2V3 and the static velocity error constant K, is 50 sec!. 10 s(s + 2) (s + 5) G{8) Figure 6–111 Control system.Solve the following systems using Gauss Seidal and Jacobi iteration methods for n=8 and initial values X0=(000). - 2x16x2 x3 = -38 - -3x1 x2+7x3 = −34 -8x1 + x2 - 2x3 = -20
- SOLVE CAREFULLY!! Please Write Clearly and Box the final Answer(s)can you explain to me why the convolution of these two sinc fucntions which are rect functions equal a rect function? I thought when you convolute a rectangle and a rectangle with two different lengths, it makes a trapezoid shape. The answer says it is rectangle funtion so my code is corrcect but i dont understand why this is true. I need a step by step solution and explanation. here is the problem: Consider the signal x(t) = 2 sinc(6t + 3).the output y (t) = (x *h )(t) when x(t) ispassed through a filter with impulse response h (t) = 4sinc(2t -1). the matlab code was just to help me visuallizeWhich methods can be used to estimate or calculate the maximum power point on an I-V curve?
- Explain why this diagram is inverting?B-6-6. Plot the root loci for a closed-loop control system with G(s) - K(s +9) s(s² + 45 + 11)' H(s) - 1B-5-3. Consider the closed-loop system given by -X C(s) Impulsive =- 4 R(s) s2 + 2iw,,s + w3 Determine the values of 5 and o, so that the system responds to a step input with approximately 5% overshoot Figure 5-80 and with a settling time of 2 sec. (Use the 2% criterion.)