کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4629696 | 1340584 | 2012 | 10 صفحه PDF | دانلود رایگان |
This paper is concerned with the problem of non-fragile proportional-plus-derivative (PD) state H∞H∞ control for a class of uncertain descriptor systems. The parameter uncertainties are assumed to be time-varying norm-bounded appearing not only in the state matrix but also in the derivative matrix. A new version of bounded real lemma for descriptor systems is proposed, which guarantees a descriptor system to be normal and stable (NS) with γγ-disturbance rejection. Based on this, we address the problem of designing non-fragile PD state H∞H∞ controllers with additive and multiplicative controller uncertainties, respectively. Sufficient conditions are presented to synthesize two classes of such non-fragile controllers in terms of LMIs. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design method.
Journal: Applied Mathematics and Computation - Volume 218, Issue 17, 1 May 2012, Pages 8806–8815