# Difference between revisions of "Errata: In Example 9.9, 'gain margin' g m should be 'stability margin' s m"

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{{errata page | {{errata page | ||

− | | chapter = | + | | chapter = Frequency Domain Analysis |

− | | page = | + | | page = 282 |

− | | line = | + | | line = -11, -9 |

− | | contributor = | + | | contributor = Seoul National University |

− | | date = | + | | date = 7 Dec 2010 |

| rev = 2.10d | | rev = 2.10d | ||

| version = Third printing | | version = Third printing | ||

| text = | | text = | ||

+ | In this example, the ''stability'' margin is computed, not that gain margin. The correct text is | ||

+ | <blockquote> | ||

+ | ... which means that the <font color=blue>stability</font> margin is <font color=blue><math>s_m</math></font><math>=1-k_i/(2\zeta | ||

+ | \omega_0)</math>. To have a desired <font color=blue>stability</font> margin of <font color=blue><math>s_m</math></font> the integral | ||

+ | gain should be chosen as | ||

+ | <center><amsmath> | ||

+ | k_i=2 \zeta \omega_0 (1-{\color{blue} s_m}). | ||

+ | </amsmath></center> | ||

+ | </blockquote> | ||

}} | }} |

## Latest revision as of 18:41, 28 August 2011

Return to Errata page |

Location: page 282, line -11, -9

In this example, the *stability* margin is computed, not that gain margin. The correct text is

... which means that the stability margin is . To have a desired stability margin of the integral gain should be chosen as

(Contributed by Seoul National University, 7 Dec 2010)