Robust Stabilization for Plants with Uncertainties Satisfying a Certain Class of IQC Conditions

Atsumi OHARA; Kanako MATSUMOTO; Masakazu IDE

doi:10.9746/sicetr1965.37.493

Transactions of the Society of Instrument and Control Engineers

Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654

Robust Stabilization for Plants with Uncertainties Satisfying a Certain Class of IQC Conditions

Atsumi OHARA, Kanako MATSUMOTO, Masakazu IDE

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Keywords: integral quadratic constraint, robust stabilization, non-convex matrix inequality, gain-phase margin

JOURNAL FREE ACCESS

2001 Volume 37 Issue 6 Pages 493-501

DOI https://doi.org/10.9746/sicetr1965.37.493

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Abstract

This paper considers robust stabilization problem for plants with uncertainties/nonlinearities satisfying a certain class of IQC conditions. The restricted class of IQC conditions is still fairly wide. We show this problem reduces to feasibility of nonconvex matrix inequalities. Owing to their structure, they can be solved, by combining LMI and a covering-type algorithm, with reasonable computational effort compared with BMI. Illustrative numerical examples applied to gain-phase uncertainties are given.

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