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Finite-time analysis for networked predictive control systems with induced time delays and data packet dropouts

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  • Jiang, Tingting
  • Zhang, Yuping
  • Zeng, Yong
  • Zhong, Shouming
  • Shi, Kaibo
  • Cai, Xiao

Abstract

This paper is concerned with the problem of finite-time stability (FTS) and finite-time boundedness (FTB) issues of networked predictive control systems (NPCs) with induced time delays and data packet dropouts. First, a new networked predictive control (NPC) scheme is established based on the designed observer and prediction strategy, and a model of NPCs is obtained. Second, in order to handle different time delays and data packet dropouts, an improved method of combining matrix singular value decomposition (SVD) with multivariate presupposition is proposed. Third, an observer-based predictive controller is designed to make the closed loop system FTS and FTB via finite-time theory, then the induced time delays and data packet dropouts are disposed actively. In addition, new sufficient conditions are obtained, which can guarantee the desired controller and observer gain matrices be subsequently acquired by solving some linear matrix inequalities (LMIs). Finally, two numerical examples are illustrated to validate the effectiveness of the theoretical findings.

Suggested Citation

  • Jiang, Tingting & Zhang, Yuping & Zeng, Yong & Zhong, Shouming & Shi, Kaibo & Cai, Xiao, 2021. "Finite-time analysis for networked predictive control systems with induced time delays and data packet dropouts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    • Handle: RePEc:eee:phsmap:v:581:y:2021:i:c:s0378437121004829
    DOI: 10.1016/j.physa.2021.126209
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    References listed on IDEAS

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    1. Halder, Kaushik & Panda, Deepak Kumar & Das, Saptarshi & Das, Sourav & Gupta, Amitava, 2022. "Specified QoS based networked observer and PI controller design with disturbance and noise rejection under random packet dropout," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).

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