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Characterizations of fixed order stabilizing controllers

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3 Author(s)
Fujisaki, Y. ; Dept. of Comput. & Syst. Eng., Kobe Univ., Japan ; Oishi, Y. ; Tempo, R.

A characterization of fixed order stabilizing controllers is provided for single-input single-output plants. The controller parameters are classified into two types: tractable parameters and intractable parameters. When the values of intractable parameters are fixed, the set of tractable parameter values corresponding to stabilizing controllers is shown to be a union of polyhedral sets. These polyhedral sets can be handled by linear programming. On the other hand, for an appropriate choice of intractable parameter values a probabilistic approach is employed. A similar characterization is also provided for H control problems involving sensitivity and complementary sensitivity functions.

Published in:

Decision and Control, 2004. CDC. 43rd IEEE Conference on  (Volume:5 )

Date of Conference:

14-17 Dec. 2004