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Event-Triggered Control for Linear Descriptor Systems

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Abstract

In this paper, event-triggered strategies for linear descriptor systems are presented. By studying the descriptor system in terms of the second equivalent form and employing the Lyapunov theory and linear matrix inequality (LMI) approach, the control law and event-triggered condition guaranteeing the admissible behavior of the descriptor system are proposed. Furthermore, we prove that the inter-sampling times are strictly positive in the proposed event-triggered condition. Finally, a simulation example is given to illustrate the efficiency of the results.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 61174057), Beijing Natural Science Foundation (No. 4112034), The Project-sponsored by SRF for ROCS, SEM, and National Science and Technology Major Project (No. 2012CB821202).

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Correspondence to Fei Hao.

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Cheng, F., Hao, F. Event-Triggered Control for Linear Descriptor Systems. Circuits Syst Signal Process 32, 1065–1079 (2013). https://doi.org/10.1007/s00034-012-9489-8

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  • DOI: https://doi.org/10.1007/s00034-012-9489-8

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