Improved Stability Robustness of Linear Discrete-Time Systems Via a Linear Fractional Transformation Article

Shi, YQ, Yen, KK, Zhang, D. (1990). Improved Stability Robustness of Linear Discrete-Time Systems Via a Linear Fractional Transformation . IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 37(6), 538-543. 10.1109/41.103459

cited authors

  • Shi, YQ; Yen, KK; Zhang, D

authors

abstract

  • Through a linear fractional transformation in the frequency domain, a set of hyperellipsoids, containing only such points in the coefficient space that they correspond to stable polynomials in linear discrete-time systems, have been attained. Procedures are presented in this paper to search for a suitable transform parameter β that will achieve a possibly larger coefficient perturbation range (with guaranteed stability) than that obtained by Soh et al. [7]. When β = 0, the hyperel-lipsoid degenerates to the largest hypersphere [7]. The result in this paper is, therefore, a generalization of the result obtained in [7]. © 1990 IEEE

publication date

  • January 1, 1990

published in

Digital Object Identifier (DOI)

start page

  • 538

end page

  • 543

volume

  • 37

issue

  • 6