非线性时变模型不确定性线性分数阶系统的鲁棒控制器设计

2009 17th Mediterranean Conference on Control and Automation Pub Date : 2009-06-24 DOI:10.1109/MED.2009.5164645

I. N’Doye, M. Zasadzinski, N. Radhy, Abdelhaq Bouaziz

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引用次数: 6

摘要

针对具有非线性模型不确定性的线性分数阶系统，提出了一种时域鲁棒线性控制器设计方法。利用Gronwall-Bellman引理研究了基于不确定性上范数界的鲁棒稳定性条件。动态控制器的参数选择要满足对象不确定性下的鲁棒稳定性要求。

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Robust controller design for linear fractional-order systems with nonlinear time-varying model uncertainties

In this article, a robust linear controller design in time domain is presented for linear fractional-order systems with nonlinear model uncertainties. The Gronwall-Bellman lemma is employed to investigate the robust stability conditions which are based on the upper norm-bounds of the uncertainties. The parameters of a dynamic controller are selected to satisfy the requirements of robust stability under plant uncertainties.

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2009 17th Mediterranean Conference on Control and Automation

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