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Improved H ∞ control for networked control systems with network-induced delay and packet dropout

  • Mechanical Engineering, Control Science and Information Engineering
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Abstract

The H ∞ performance analysis and controller design for linear networked control systems (NCSs) are presented. The NCSs are considered a linear continuous system with time-varying interval input delay by assuming that the sensor is time-driven and the logic Zero-order-holder (ZOH) and controller are event-driven. Based on this model, the delay interval is divided into two equal subintervals for H ∞ performance analysis. An improved H ∞ stabilization condition is obtained in linear matrix inequalities (LMIs) framework by adequately considering the information about the bounds of the input delay to construct novel Lyapunov–Krasovskii functionals (LKFs). For the purpose of reducing the conservatism of the proposed results, the bounds of the LKFs differential cross terms are properly estimated without introducing any slack matrix variables. Moreover, the H ∞ controller is reasonably designed to guarantee the robust asymptotic stability for the linear NCSs with an H ∞ performance level γ. Numerical simulation examples are included to validate the reduced conservatism and effectiveness of our proposed method.

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Authors and Affiliations

  1. School of Measurement-control Technology and Communications Engineering, Harbin University of Science and Technology, Harbin, 150080, China

    Bing Li  (李冰), Jun-feng Wu  (武俊峰) & Ling Huang  (黄玲)

  2. College of Electrical and Information Engineering, Heilongjiang University of Science and Technology, Harbin, 150022, China

    Jun-feng Wu  (武俊峰)

Authors
  1. Bing Li  (李冰)
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  2. Jun-feng Wu  (武俊峰)
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  3. Ling Huang  (黄玲)
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Corresponding author

Correspondence to Bing Li  (李冰).

Additional information

Foundation item: Project(61304046) supported by the National Natural Science Funds for Young Scholar of China; Project(F201242) supported by Natural Science Foundation of Heilongjiang Province, China

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Li, B., Wu, Jf. & Huang, L. Improved H ∞ control for networked control systems with network-induced delay and packet dropout. J. Cent. South Univ. 23, 1215–1223 (2016). https://doi.org/10.1007/s11771-016-0371-x

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  • DOI: https://doi.org/10.1007/s11771-016-0371-x

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