Control Engineering by László Keviczky & Ruth Bars & Jenő Hetthéssy & Csilla Bányász

Author:László Keviczky & Ruth Bars & Jenő Hetthéssy & Csilla Bányász
Language: eng
Format: epub
ISBN: 9789811082979
Publisher: Springer Singapore

Example 6.1

Let us consider the control system with the open-loop transfer function

(6.6)

The frequency function is

(6.7)

The value of the real part at zero frequency is

(6.8)

and

(6.9)

which is a necessary condition to avoid amplification in the supplementary sensitivity function . The pole excess of the loop transfer function is 1, which is the necessary condition to avoid amplification in the sensitivity function. Let us examine the sufficient condition as well. The sensitivity function is obtained by a simple calculation according to

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