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.
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Communicated by YE Qing-kai
Foundation items: the National Natural Science Foundation of China (19972001); the Foundation for University Key Teacher by the Ministry of Education of China; the National Key Project of China and the National Key Basic Research Special Fund of China (G1998020301)
Biography: DONG Hai-rong (1974-), Doctor
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Hai-rong, D., Zhi-yong, G., Jin-zhi, W. et al. Stability margin of systems with mixed uncertainties under the IQC descriptions. Appl Math Mech 23, 1274–1281 (2002). https://doi.org/10.1007/BF02439458
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DOI: https://doi.org/10.1007/BF02439458
Key words
- system with mixed uncertainty
- perturbation margin
- integral quadratic constraint
- parametric uncertainty
- stability checking