Download Classical Control Using H-infinity Methods: An Introduction by J. William Helton PDF

By J. William Helton

One of many major accomplishments of keep watch over within the Eighties was once the improvement of H8 ideas. This publication teaches keep an eye on approach layout utilizing H8 tools. scholars will locate this ebook effortless to take advantage of since it is conceptually easy. they're going to locate it priceless due to the frequent allure of classical frequency area tools. Classical keep an eye on has continuously been provided as trial and mistake utilized to precise situations; Helton and Merino offer a way more detailed technique. This has the super good thing about changing an engineering challenge to at least one that may be placed without delay right into a mathematical optimization package deal. After finishing this path, scholars could be acquainted with how engineering specifications are coded as particular mathematical constraints.

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Extra info for Classical Control Using H-infinity Methods: An Introduction to Design

Example text

Define the gain-phase margin of the system S to be 20 CHAPTER 3. FREQUENCY DOMAIN PERFORMANCE Graphically m is just the distance of the Nyquist plot of PC to the point -1 in the complex plane. 3) to We can easily compare the gain-phase margin m with the gain margin g and the phase margin 0 by looking at the Nyquist plot in Fig. 3. Typically m is more conservative than either or g. Fig. 3. The gain margin g, phase margin (f>, and gain-phase margin m. If a given stable system has m near 0, then it is close to the unstable case, which is undesirable.

987364, 5. } complpoles = s /.

We do this below. Consider system S with given time domain input u(t) and output y(i). and let U(s) and Y(s) be the Laplace transforms of u(t) and y ( t ) . s) = T ( s ) U ( s ) , and the Laplace transform of e u is For T £ TIH0^, a condition that generates small f u compared to the size of u is for some small atr. 10) is too stringent to be obtainable in a practical engineering problem since the function T rolls off at high frequency. What is realistic is to require the system to track low-frequency functions well, that is, to require that T(ju] be close to 1 over some specified frequency range {—uj tr,ujtr}.

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