Mixed H2-norm sensitivity minimization in the DFT domain for control system design

Jiann-Shiou Yang, M. E. Zervakis

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this paper, we deal with the problem of designing a feedback controller for linear time-invariant discrete-time systems that minimizes the H2-norm of a mixed sensitivity criterion. Operating in the Discrete Fourier Transform (DFT) domain, we construct an l2-space vector minimization problem that can be made arbitrarily close to the original H2 problem if the size of the DFT becomes large. The advantage of using the proposed method is that the solution in the l2-space can be analytically expressed, and it can be efficiently calculated via multichannel algorithms due to the particular structure of the matrices in the DFT domain. Thus, the computational complexity of the approach introduced is small despite the relatively larger dimension of the matrices involved. The method is demonstrated through examples.

Original languageEnglish (US)
Pages (from-to)1515-1530
Number of pages16
JournalControl, theory and advanced technology
Issue number4 pt 3
StatePublished - Sep 1 1995

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