Robust controller design: mixed H2 performance optimization for linear discrete-time systems

Jiann-Shiou Yang, Michael E. Zervakis

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The feedback controller design for linear time-invariant discrete-time systems via minimizing the H2-norm of a mixed sensitivity criterion is revisited. By borrowing some of the techniques from signal/image processing, a new approach is presented to tackle the H2 control problem. Operating in the Discrete Fourier Transform (DFT) domain, we construct a minimization problem in the l2-space to approximate the original H2 problem. The approximation in such a setting is sufficient for a reasonably small number of DFT-point chosen due to the stability and short-duration characteristics of the matrix elements involved in the design problem. Via the partially block circular structure of the matrices involved in the DFT domain, the l2 vector-optimization problem can be efficiently solved through matrix algebraic techniques.

Original languageEnglish (US)
Pages (from-to)3468-3472
Number of pages5
JournalProceedings of the American Control Conference
Volume5
StatePublished - Jan 1 1995

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