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Stability Analysis of Delta Operator Systems with Actuator Saturation by a Saturation-Dependent Lyapunov Function

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Abstract

This paper proposes the stability of delta operator systems subjected to actuator saturation by a saturation-dependent Lyapunov function. This saturation-dependent Lyapunov function captures the real-time information on the severity of actuator saturation in delta domain. Linear matrix inequalities-based methods are developed for analyzing the stability of the delta operator system. Numerical example is given to illustrate the effectiveness of the developed techniques.

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Acknowledgments

The authors would like to thank the anonymous reviewers for their detailed comments which helped to improve the quality of the paper. The work of Hongjiu Yang was supported by the National Natural Science Foundation of China under Grant 61203023, the Natural Science Foundation of Hebei Education Department under Grant Q2012060, and the Hebei Provincial Natural Science Fund under Grand F2013203092, E2014203122. The work of Changchun Hua was supported by the Science Fund for Distinguished Young Scholars of Hebei Province (F2011203110), Doctoral Fund of Ministry of Education of China (20121333110008), and the National Natural Science Foundation of China (61273222). The work of Zhixin Liu was supported partially by the Natural Science Foundation of China under Grant 61104033, and the Hebei Provincial Natural Science Fund under Grand F2012203109.

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Authors and Affiliations

  1. The Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China

    Hongjiu Yang, Zhiwei Li, Changchun Hua & Zhixin Liu

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  1. Hongjiu Yang
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  2. Zhiwei Li
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  3. Changchun Hua
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  4. Zhixin Liu
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Correspondence to Hongjiu Yang.

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Yang, H., Li, Z., Hua, C. et al. Stability Analysis of Delta Operator Systems with Actuator Saturation by a Saturation-Dependent Lyapunov Function. Circuits Syst Signal Process 34, 971–986 (2015). https://doi.org/10.1007/s00034-014-9876-4

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  • DOI: https://doi.org/10.1007/s00034-014-9876-4

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