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An iterative method for mixed H2/H control design with uncommon LMI solutions

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2 Author(s)
Shimomura, T. ; Hansen Exp. Phys. Lab., Stanford Univ., CA, USA ; Fujii, T.

Attempts to solve the state-feedback H2/H control problem by a LMI technique that allows for uncommon LMI solutions. In order to obtain a common controller ensuring the two performance criteria while allowing uncommon LMI solutions, we figure out what portion of the LMI solution should be constrained. Then, utilizing the freedom of the unconstrained portion, we propose an iterative method to obtain an updated controller gain which further improves the H2 performance under the H constraint. An illustrated example is included.

Published in:

American Control Conference, 1999. Proceedings of the 1999  (Volume:5 )

Date of Conference:

1999