l9 - 16.06 Lecture 9 Transient Performance and the Effect...

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Unformatted text preview: 16.06 Lecture 9 Transient Performance and the Effect of Zeroes Karen Willcox September 24, 2003 Todays Topics 1. Transient response performance measures 2. The effect of zeroes Reading : 5.1, 5.2 1 1 Introduction We saw last lecture that the response of many systems is dominated by a particular mode. Often for aero/astro systems, the response is dominated by a complex conjugate pole pair. Using the dominant pole concept simplifies our design problem, because we can focus on locating this dominant pair in a satisfactory position. Note that this is the approach that we are taking for the Quansers! 2 Transient response performance measures (a) Assume that at first, the response is dominated by a complex pair close to the j axis. 2 insert Fig. 5.1 3 (b) Referring to Fig 5.1, consider the following definitions: (i) Settling time, T s , is the time required for the response to come permanently within a 2% band around the steady-state value....
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l9 - 16.06 Lecture 9 Transient Performance and the Effect...

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