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- Title
Stability margin of systems with mixed uncertainties under the IQC descriptions.
- Authors
Dong Hai-rong; Geng Zhi-yong; Wang Jin-zhi; Huang Lin
- Abstract
Stability perturbation bounds problem for systems with mixed uncertainties is discussed. It is supposed that the linear part in the forward loop is of parametric uncertainties described by interval perturbation mode, and that the nonlinear part in the feedback loop is characterized by an integral quadratic constraint (IQC). The definition of stability margin under the interval perturbation mode is given by using the Minkowski functional. The infinite stability checking problem of the mixed uncertain system can be converted to finite or one dimensional stability checking for different structures of the IQC multipliers based on the concepts of biconvex and convex-concave functions and their properties. The result is illustrated to be efficient through an example.
- Subjects
PERTURBATION theory; INTERVAL analysis; DIFFERENTIAL operators; NOMINAL measurement; MINKOWSKI geometry
- Publication
Applied Mathematics & Mechanics, 2002, Vol 23, Issue 11, p1274
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/BF02439458