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Benefits of redundant channels in observer-based H ∞ control for discrete-time switched linear systems

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Abstract

In this paper, the H ∞ control problem is investigated for a class of discrete-time switched linear systems with modal persistent dwell-time (MPDT) switching. The redundant channels are considered to use in the data transmission to benefit the capability of overcoming the fragility of networks commonly configured by a single channel in the communication networks subject to random packet losses. In light of a new class of Lyapunov functions, the desired observer-based quasi-time-dependent controllers, which have less conservatism than the time-independent ones, are designed such that the resulting closed-loop system is exponentially mean-square stable with a guaranteed H ∞ disturbance attenuation performance. The MPDT can be minimized while ensuring the existence of such a class of observer-based controllers for a given period of persistence. An example of DC-DC boost converter is provided to verify the effectiveness of theoretical findings.

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Authors and Affiliations

  1. State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun, 130025, China

    YanZheng Zhu & ShuYou Yu

  2. School of Astronautics, Harbin Institute of Technology, Harbin, 150080, China

    YanZheng Zhu, LiXian Zhang, WeiYang Lin & Zhan Li

  3. Department of Control Science and Engineering, Jilin University, Changchun, 130025, China

    ShuYou Yu

Authors
  1. YanZheng Zhu
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  2. LiXian Zhang
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  3. WeiYang Lin
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  4. Zhan Li
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  5. ShuYou Yu
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Correspondence to LiXian Zhang.

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Zhu, Y., Zhang, L., Lin, W. et al. Benefits of redundant channels in observer-based H ∞ control for discrete-time switched linear systems. Sci. China Technol. Sci. 59, 55–62 (2016). https://doi.org/10.1007/s11431-015-5976-z

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  • DOI: https://doi.org/10.1007/s11431-015-5976-z

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