Abstract
Event-triggered control systems have been increasingly studied as an alternative to the time-triggered sample-data system, mainly for its advantage of reducing the resource utilization. In this paper, we propose a robust \(H_{\infty }\) controller for a linear perturbed model and implement it in an event-triggered feedback scheme, to achieve the \(L_{2}\) stability of the system. A sufficient condition guaranteeing the \(L_2\) stability of the system is provided in the form of matrix inequality. The optimization of this inequality condition is settled by eliminating the nonlinear components, and an adjustable parameter is brought in to reduce the conservatism. Illustrative examples are given to show this controller’s ability at enlarging sample time and disturbance attenuation.
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Acknowledgments
This work was supported by the National Basic Research Program of China (973 Program: 2012CB821200, 2012CB821201), the NSFC (61134005, 61327807, 61521091, 61520106010) and the Fundamental Research Funds for the Central Universities (YWF-16-GjSYS-31, YWF-16-GJSYS-32).
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Jiang, H., Jia, Y., Chen, C. (2016). Stabilization of Perturbed Linear Systems by an Event-Triggered Robust \(H_{\infty }\) Controller. In: Jia, Y., Du, J., Zhang, W., Li, H. (eds) Proceedings of 2016 Chinese Intelligent Systems Conference. CISC 2016. Lecture Notes in Electrical Engineering, vol 405. Springer, Singapore. https://doi.org/10.1007/978-981-10-2335-4_9
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DOI: https://doi.org/10.1007/978-981-10-2335-4_9
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