Stability of discrete-time networked control systems and its extension for robust control

Peng Wang, Chongzhao Han and Baocang Ding

International Journal of Systems Science, 2013, vol. 44, issue 2, 275-288

Abstract: The stability of discrete-time Networked Control Systems (NCSs) is studied in this article. By introducing some scalars into matrix cross-term bounding technique, we present a new approach for the state feedback controller, with less conservatism, based on the Bilinear Matrix Inequalities (BMIs) and the descriptor model transformation. We further extend the method to robust H∞ control considering both disturbances and parametric uncertainties. For the BMI problem which is difficult to be solved directly, a modified optimisation algorithm is proposed. The practicability, less conservatism and effectiveness of the results are demonstrated by two examples.

Date: 2013
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DOI: 10.1080/00207721.2011.600474

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