Multiplicative Approximation of Multivariable Systems using IIankel Norm Criterion

@article{Matson1992MultiplicativeAO,
  title={Multiplicative Approximation of Multivariable Systems using IIankel Norm Criterion},
  author={J. B. Matson and James T. K. Lam and B. D. O. Anderson and Ben James},
  journal={1992 American Control Conference},
  year={1992},
  pages={333-337}
}
Control system design specifications are commonly given in terms of log-magnitude quantities (dB). This induces a multiplicative or relative error criterion for plant model reduction. Techniques from the theory of additive Hankel norm approximation and spectral factorization are synthesised to produce a multiplicative approximant of a possibly unstable or nonsquare plant. It is shown that the reduced-order model preserves the right half plane poles and zeros of the original system. Explicit… CONTINUE READING