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Zbl 1051.93055
Xie, Xue-Jun
A robust model reference adaptive control without strictly positive real condition. (English)
[J] Int. J. Control 75, No. 14, 1136-1144 (2002). ISSN 0020-7179; ISSN 1366-5820/e

Using bounded external excitation and randomly varying truncation techniques, the author proposes a design method of a model reference adaptive controller for systems with unmodelled dynamics dominated by a small constant multiplied by a quantity dependent on the input, output and noise. He shows that the closed-loop system is globally stable, the estimation error for the parameter contained in the modelled part is of order of the mentioned small constant, and the closed-loop system under the modelled reference adaptive control law is suboptimal, while the strictly positive real condition (usually used) is replaced by a stable polynomial.
[Mihail Voicu (Iaşi)]

MSC 2000:: *93C40 Adaptive control systems
93D21 Adaptive and robust stabilization

Keywords: model reference adaptive control; unmodelled dynamics; stability condition; bounded external excitation; varying truncation techniques

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