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Delay-dependent stability analysis and \(\mathcal {H}_{\infty }\) control for LPV systems with parameter-varying state delays

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Abstract

This paper develops the stability analysis and delay-dependent \(\mathcal {H}_{\infty }\) control synthesis for linear parameter-varying (LPV) systems with time-varying state delays. On the basis of the Finsler’s lemma, sufficient conditions on \(\mathcal {H}_{\infty }\) performance analysis are formulated in terms of parameterized linear matrix inequalities. The interesting annihilator matrix is constituted by time-varying parameters of LPV systems to reduce the conservatism. A numerical example is presented to confirm the efficiency of the proposed method.

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Acknowledgments

This work is supported by Nature Science Foundation under Grant of China (No. 61374087) and the Graduate Innovation and Creativity Foundation of Jiangsu Province under Grant (No. CXZZ12-0202).

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing , 210094, Jiangsu, People’s Republic of China

    Minsong Zhang

  2. School of Mathematics and Computer Science, Datong University, Datong, 037009, Shanxi, People’s Republic of China

    Fu Chen

  3. School of Mathematics and Computer Science, Hubei University of Arts and Science, Xiangyang , 441053, Hubei, People’s Republic of China

    Minsong Zhang

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  1. Minsong Zhang
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Correspondence to Minsong Zhang.

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Zhang, M., Chen, F. Delay-dependent stability analysis and \(\mathcal {H}_{\infty }\) control for LPV systems with parameter-varying state delays. Nonlinear Dyn 78, 1329–1338 (2014). https://doi.org/10.1007/s11071-014-1519-6

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  • DOI: https://doi.org/10.1007/s11071-014-1519-6

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