A typo in equation (6.24). - Revision history

Han at 00:36, 23 November 2008

2008-11-23T00:36:20Z

← Older revision		Revision as of 00:36, 23 November 2008
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	~~The closed loop transfer function~~ <math>~~G(s)~~\~~,</math> (which means~~ <~~math>H_{yr}(s)~~\,</math>) should be <math>\~~frac~~{\~~omega_0^2~~}{~~s^2+2~~\zeta\~~omega_0s+~~\~~omega_0~~^2}\~~,</math>. The last term of the denominator is <math>~~\~~omega_0^2~~\~~,</math> rather than <math>~~\~~omega_0~~\~~,</math>, and the second term is missing an additional <math>s\,~~</math>.		For <math>\zeta<1\,</math>, the corresponding equation should be:

			<math>y(t)=k\Big(1-e^{-\zeta\omega_0t}\cos{\omega_dt}-\frac{\zeta}{\sqrt{1-\zeta^2}}e^{-\zeta\omega_0t}\sin{\omega_dt}\Big)</math>.

	--Shuo		--Shuo

Han: Typo in CDS110 problem 1(a). moved to A typo in equation (6.24).

2008-11-23T00:31:04Z

Typo in CDS110 problem 1(a). moved to A typo in equation (6.24).

← Older revision		Revision as of 00:31, 23 November 2008
(No difference)

Han at 00:23, 21 November 2008

2008-11-21T00:23:29Z

← Older revision		Revision as of 00:23, 21 November 2008
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	The closed loop transfer function <math>G(s)\,</math> (which means <math>H_{yr}(s)\,</math>) should be <math>\frac{\omega_0^2}{s^2+2\zeta\~~omega_0~~+\omega_0^2}\,</math>. The last term of the denominator is <math>\omega_0^2\,</math> rather than <math>\omega_0\,</math>.		The closed loop transfer function <math>G(s)\,</math> (which means <math>H_{yr}(s)\,</math>) should be <math>\frac{\omega_0^2}{s^2+2\zeta\omega_0s+\omega_0^2}\,</math>. The last term of the denominator is <math>\omega_0^2\,</math> rather than <math>\omega_0\,</math>, and the second term is missing an additional <math>s\,</math>.

	--Shuo		--Shuo

Han at 03:43, 20 November 2008

2008-11-20T03:43:10Z

New page

The closed loop transfer function <math>G(s)\,</math> (which means <math>H_{yr}(s)\,</math>) should be <math>\frac{\omega_0^2}{s^2+2\zeta\omega_0+\omega_0^2}\,</math>. The last term of the denominator is <math>\omega_0^2\,</math> rather than <math>\omega_0\,</math>.

--Shuo

[[Category: CDS 101/110 FAQ - Homework 7]]
[[Category: CDS 101/110 FAQ - Homework 7, Fall 2008]]