ROBUST STABILITY TEST FOR STATE-SPACE MODELS WITH STRUCTURED UNCERTAINTY

Yang Xiao

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ROBUST STABILITY TEST FOR STATE-SPACE MODELS WITH STRUCTURED UNCERTAINTY

Yang Xiao * #

Beijing Jiaotong University

*Correspondence author

#Submitted by

Subject:

Funding: 国家自然科学基金（No.69971002）

Opened online: 4 July 2005

Accepted by: none

Citation: Yang Xiao.ROBUST STABILITY TEST FOR STATE-SPACE MODELS WITH STRUCTURED UNCERTAINTY[OL]. [ 4 July 2005] http://en.paper.edu.cn/en_releasepaper/content/2345

We develop two-dimensional (2-D) face test to determine the stability of a nominally stable linear state-space model being subjected to real structured perturbations. The system matrices are assumed to depend linearly on set of interval parameters. Since the system matrix family of the uncertain systems belongs to a kind of polytopes of matrices, we can apply a 2-D face test, which is necessary and sufficient condition for the robust Hurwitz or Schur stability for the uncertain matrices. Examples are given to verify the 2-D robust stability test to be correct.

Keywords: State-space models with structured uncertainty, robust stability, test theorem and algorithm

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