Author: Gao, Qing

Source: International Journal of Control, Volume 82, Number 5, May 2009 , pp. 970-979(10)

Publisher: Taylor and Francis Ltd

Abstract:

In this article, we are concerned with the Lagrange stabilisation problem for phase-controlled systems with parameter uncertainties. By using the Kalman-Yakubovich-Popov lemma, the frequency-domain conditions for Lagrange stability of nominal phase-controlled systems are converted into linear matrix inequality (LMI) conditions. The allowable parameter uncertainty bounds for controllability and observability, as well as LMI conditions for Lagrange stability of uncertain phase-controlled systems, are presented. A controller design strategy based on the LMI method is proposed such that the uncertain phase-controlled systems are Lagrange stabilised. A numerical example is provided to demonstrate the effectiveness of the proposed results.

Keywords: phase-controlled system; Lagrange stabilisation; parametric uncertainty; linear matrix inequality

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207170802400939

Affiliations: 1: Department of Electrical Engineering, YanShan University, Qinhuangdao, PR China

Publication date: 2009-05-01

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