New approach to the mixed H2-norm sensitivity minimization

Jiann-Shiou Yang, M. E. Zervakis

Research output: Contribution to journalConference articlepeer-review


The robust controller design based on the minimization of the H2-norm of a mixed sensitivity function is considered. Two weighting functions and a weighting factor are introduced in the control design to trade off between feedback properties in different frequency ranges. By working in the DFT domain, we convert the original H2-norm minimization problem into a problem of solving a vector minimization in the l2-space. The advantage of using this approach is that its solution can be analytically expressed and numerically calculated via existing algorithms. The optimal estimate can be efficiently computed due to the particular block structure of the matrices involved. The approximation can be made arbitrarily close to the original H2 minimization problem if the number of the DFT points is large. Two examples are also given to demonstrate the effectiveness of our approach.

Original languageEnglish (US)
Pages (from-to)220-225
Number of pages6
JournalIEE Conference Publication
Issue number389
StatePublished - 1994
EventProceedings of the International Conference on CONTROL '94. Part 1 (of 2) - Coventry, UK
Duration: Mar 21 1994Mar 24 1994


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