TY - JOUR

T1 - Robust controller design

T2 - mixed H2 performance optimization for linear discrete-time systems

AU - Yang, Jiann-Shiou

AU - Zervakis, Michael E.

PY - 1995/1/1

Y1 - 1995/1/1

N2 - 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.

AB - 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.

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M3 - Article

AN - SCOPUS:0029192025

VL - 5

SP - 3468

EP - 3472

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

ER -