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Dynamic output-feedback control for continuous-time interval positive systems under L1 performance

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  • Chen, Xiaoming
  • Chen, Mou
  • Qi, Wenhai
  • Shen, Jun

Abstract

This paper is concerned with the design of L1-induced dynamic output-feedback controller for continuous-time positive systems with interval uncertainties. A necessary and sufficient condition for stability and L1-induced performance of positive linear systems is proposed in terms of linear inequalities. Based on this, conditions for the existence of robust dynamic output-feedback controllers are established and an iterative convex optimization approach is developed to solve the conditions. One illustrative example is provided to show the effectiveness and applicability of the theoretical results.

Suggested Citation

  • Chen, Xiaoming & Chen, Mou & Qi, Wenhai & Shen, Jun, 2016. "Dynamic output-feedback control for continuous-time interval positive systems under L1 performance," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 48-59.
    • Handle: RePEc:eee:apmaco:v:289:y:2016:i:c:p:48-59
    DOI: 10.1016/j.amc.2016.05.002
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    References listed on IDEAS

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    1. Zhang, Junfeng & Zhao, Xudong & Cai, Xiushan, 2016. "Absolute exponential L1-gain analysis and synthesis of switched nonlinear positive systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 24-36.
    2. Tang, Ze & Park, Ju H. & Lee, Tae H., 2016. "Dynamic output-feedback-based H∞ design for networked control systems with multipath packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 121-133.
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    Cited by:

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    2. Qi, Wenhai & Zong, Guangdeng & Cheng, Jun & Jiao, Ticao, 2019. "Robust finite-time stabilization for positive delayed semi-Markovian switching systems," Applied Mathematics and Computation, Elsevier, vol. 351(C), pages 139-152.
    3. Wang, Huajian & Qi, Wenhai & Zhang, Lihua & Cheng, Jun & Kao, Yonggui, 2020. "Stability and stabilization for positive systems with semi-Markov switching," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    4. Xie, Jiyang & Zhu, Shuqian & Zhang, Dawei, 2022. "A robust distributed secure interval observation approach for uncertain discrete-time positive systems under deception attacks," Applied Mathematics and Computation, Elsevier, vol. 413(C).
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    6. Li, Lei & Qi, Wenhai & Chen, Xiaoming & Kao, Yonggui & Gao, Xianwen & Wei, Yunliang, 2018. "Stability analysis and control synthesis for positive semi-Markov jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 363-375.

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