O'Reilly logo

Modern Control System Theory and Design, 2nd Edition by Stanley M. Shinners

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

5.10.  ILLUSTRATIVE PROBLEMS AND SOLUTIONS

This section provides a set of illustrative problems and their solutions to supplement the material presented in Chapter 5.

Image

Figure I5.1

I5.l. The control system of Figure I5.1 contains position and rate feedback:

(a)  Determine the closed-loop transfer function C(s)/R(s).

(b)  Determine the sensitivity of the closed-loop transfer function to K2 as a function of s.

(c)  Determine the sensitivity of the closed-loop transfer function to K2 at dc.

SOLUTION:(a)

Image

(b)

Image

where

Image

Therefore,

Image

(c)

Image

I5.2. The sensitivity of the following control systems is to be analyzed:

Image

Figure I5.2

(a)  Determine the overall transfer function, H = C(s)/R(s).

(b)  Determine the sensitivity of the control system’s transfer function, H(s) = C(s)/R(s) with respect to the transfer ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required