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Observer-based H∞ control for second-order neutral systems with actuator saturation and the application to mechanical system

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Abstract

The observer-based H∞ control problem for second-order neutral systems with actuator saturation is considered. First, a sufficient delay-dependent condition is proposed using Wirtinger-based integral inequality, under which such type neutral system with time-delay and actuator saturation is stable and satisfies H∞ performance. Then, based on the derived condition, the design method of observer-based controller is developed using linear matrix inequalities (LMIs) optimization problem. Finally, a numerical example is provided to illustrate the application of the second-order mechanical systems and the effectiveness of the theoretical results.

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Authors and Affiliations

  1. School of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, Hebei, People’s Republic of China

    Lei Fu & Yuechao Ma

  2. School of Science, Yanshan University, Qinhuangdao, 066004, Hebei, People’s Republic of China

    Yuechao Ma

Authors
  1. Lei Fu
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  2. Yuechao Ma
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Correspondence to Lei Fu.

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Communicated by Luz de Teresa.

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This work is supported by National Natural Science Foundation of China (No. 61273004) and the Natural Science Foundation of Hebei province (No. F2018203099).

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Fu, L., Ma, Y. Observer-based H∞ control for second-order neutral systems with actuator saturation and the application to mechanical system. Comp. Appl. Math. 38, 85 (2019). https://doi.org/10.1007/s40314-019-0850-4

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  • DOI: https://doi.org/10.1007/s40314-019-0850-4

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Mathematics Subject Classification (2010)