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Non-fragile PD control of linear time-delay positive discrete-time systems

Author

Listed:
  • Liu, Jason J.R.
  • Lam, James
  • Wang, Xiaomei
  • Kwok, Ka-Wai

Abstract

This paper addresses the issue of proportional-derivative (PD) controllers design for positive linear systems in the discrete-time domain, which still remains a challenging problem in positive systems theory. The specific aim is to design a PD controller for a system with constant time delay, which simultaneously ensures closed-loop system stability and preserves positivity. Moreover, additive gain variation of the controller is considered in the synthesis process. Systematic formulation and tractable algorithms are developed to find the PD controller gains for positive stabilization. The performance of such methods is validated by numerical examples.

Suggested Citation

  • Liu, Jason J.R. & Lam, James & Wang, Xiaomei & Kwok, Ka-Wai, 2023. "Non-fragile PD control of linear time-delay positive discrete-time systems," Applied Mathematics and Computation, Elsevier, vol. 452(C).
    • Handle: RePEc:eee:apmaco:v:452:y:2023:i:c:s0096300323001856
    DOI: 10.1016/j.amc.2023.128016
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    References listed on IDEAS

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    1. Xie, Jiyang & Zhu, Shuqian & Feng, Jun-e, 2020. "Delay-dependent and decay-rate-dependent conditions for exponential mean stability and non-fragile controller design of positive Markov jump linear systems with time-delay," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    2. Li, Shuo & Xiang, Zhengrong, 2020. "Positivity, exponential stability and disturbance attenuation performance for singular switched positive systems with time-varying distributed delays," Applied Mathematics and Computation, Elsevier, vol. 372(C).
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