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Characterization of Easily Controllable Plants Based on the Finite Frequency Phase/Gain Property: A Magic Number √͞4͞+͞2͞√͞2 in ℋ∞ Loop Shaping Design | IEEE Conference Publication | IEEE Xplore

Characterization of Easily Controllable Plants Based on the Finite Frequency Phase/Gain Property: A Magic Number √͞4͞+͞2͞͞2 in ℋ Loop Shaping Design


Abstract:

This paper introduces a phase/gain condition for (marginally) stable systems for characterization of easily controllable systems, and investigates the relationship betwee...Show More

Abstract:

This paper introduces a phase/gain condition for (marginally) stable systems for characterization of easily controllable systems, and investigates the relationship between the condition and the optimal performance γopt in loop shaping design. More specifically it is shown that there is a close relationship between the condition and a magic number √͞4͞+͞2͞͞2, for both continuous-time and discrete-time systems. Furthermore a simple design procedure for robust control based on the obtained knowledge is proposed.
Date of Conference: 09-13 July 2007
Date Added to IEEE Xplore: 30 July 2007
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Conference Location: New York, NY, USA

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