## Abstract

The feedback controller design for linear time-invariant discrete-time systems via minimizing the H^{2}-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 H^{2} control problem. Operating in the Discrete Fourier Transform (DFT) domain, we construct a minimization problem in the l^{2}-space to approximate the original H^{2} 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 l^{2} vector-optimization problem can be efficiently solved through matrix algebraic techniques.

Original language | English (US) |
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Pages (from-to) | 3468-3472 |

Number of pages | 5 |

Journal | Proceedings of the American Control Conference |

Volume | 5 |

State | Published - Jan 1 1995 |

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