1 / 12

Automatic Control Systems

Automatic Control Systems. P43 2-6 (a)(e). Find the inverse Laplace transforms of the following functions. Perform partial-fraction expansion on G ( s ) first ,then use the Laplace transform table. (a) (e). P70 3-8(b).

rimona
Download Presentation

Automatic Control Systems

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Automatic Control Systems

  2. P43 2-6 (a)(e) Find the inverse Laplace transforms of the following functions. Perform partial-fraction expansion on G(s) first ,then use the Laplace transform table. (a) (e)

  3. P70 3-8(b) Find the transfer functions Y2/Y1 and Y1/Y2 of the SFGs shown in Fig.3P-8 Fig.3P-8

  4. P311 7-13 For the control systems shown in Fig.7P-7, find the values of K and Ktso that the maximum overshoot of the output is approximately 4.3 percent and the rise time tr is approximately 0.2 sec. Simulate the systems with any time-response simulation program to check the accuracy of your solutions. Fig.7P-7

  5. P229 6-9 The block diagram of a motor-control system with tachometer feedback is shown in Fig.6P-9.Find the range of the tachometer constant Kt so that the system is asymptotically stable. Fig.6P-9

  6. P230 6-12(a) The conventional Routh-Hurwitz criterion gives information only on the location of the zeros of a polynomial F(s) with respect to the left half and right half of the s-place. Devise a linear transformation s=f (p,α) , where p is a complex variable, so that the Routh- Hurwitz criterion can be applied to determine whether F(s) has zeros to the right of the line s=-α,where αis a positive real number. Apply the transformation to the following characteristic equations to determine how many roots are to the right of the line s=-1 in the s-plane. (a)

  7. P309 7-3(c) Determine the step, ramp, and parabolic error constants of the following unity-feedback control systems. The forward-path transfer functions are given. (c)

  8. P309 7-5 (a) (d) The following transfer functions are given for a single-loop nonunity-feedback control system. Find the steady-state errors due to a unit-step input, a unit-ramp input, and a parabolic input, (a) (d)

  9. P347 8-2(a) For the loop transfer functions that follows, find the angle of departure or arrival of the root loci at the designated pole or zero. (a) Angle of arrival (K<0) and angle of departure (K>0)at s=j.

  10. P347 8-5(h) Construct root-locus diagram for each of the following control systems for which the poles and zeros of G(s)H(s) are given. The characteristic equation is obtained by equating the numerator of 1+ G(s)H(s) to zero. (h) Poles at 0, 0, -8, -8; no finite zeros.

  11. P424 9-9(a) (b) The loop transfer functions L(s) of single –feedback-loop systems are given below. Sketch the Nyquist plot of L(jω) for ω=0 to ω=∞. Determine the stability of the closed-loop system. If the system is unstable, find the number of poles of the closed-loop transfer function that are in the right-half s-plane. Solve for the intersect of L(jω)on the negative real axis of the L(jω)-plane analytically. You may construct the Nyquist plot of L(jω)using any computer program. (a) (b)

  12. P428 9-26(c) The forward-path transfer functions of unity-feedback control systems are given in the following. Plot the Bode diagram of G(jω)/K and do the following: (1) Find the value of K so that the gain margin of the system is 20 dB. (2) Find the value of K so that the phase margin of the system is 45o.

More Related