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An improved robust state-feedback H control synthesis for uncertain discrete-time singular systems

Abstract

In this paper, a sufficient condition based on linear matrix inequalities (LMI) is provided to address the robust state-feedback H∞ control synthesis of discrete-time singular uncertain systems. By applying state-space model reduction techniques and small gain theory, more efficient control synthesis algorithms are obtained in comparison to other similar approaches. The complexity of the involved algorithms is reduced, whilst keeping or even improving the closed-loop performance. Finally, some examples are borrowed from recent literature to illustrate the effectiveness of the proposed method.

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Dates and versions

hal-03411365 , version 1 (02-11-2021)

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Antonio Gonzalez Sorribes, Thierry-Marie Guerra, Pedro Garcia. An improved robust state-feedback H control synthesis for uncertain discrete-time singular systems. 7th International Conference on Systems and Control (ICSC), Oct 2018, Valencia, Spain. pp.34-39, ⟨10.1109/ICOSC.2018.8587813⟩. ⟨hal-03411365⟩
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