{"title":"Optimal tracking and regulation performance of networked control systems with additive colored Gaussian noise and finite bandwidth","authors":"Bin Zhang , Da-Wei Ding","doi":"10.1016/j.amc.2025.129469","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the optimal tracking and regulation performance of networked control systems (NCSs) with additive colored Gaussian noise (ACGN) and finite bandwidth. The bandwidth-limited channel is described as a non-minimum phase channel, which introduces additional restrictions on performance due to potential non-minimum-phase zeros (NMPZs). The optimal tracking and regulation performance of NCSs is derived using a frequency-domain analysis method and a two-degree-of-freedom control (TDOF) scheme. It is shown that the optimal tracking and regulation performance has a close relation with the intrinsic characteristic of the plant, NMPZs in the channel, bandwidth, and ACGN. Finally, the effectiveness of the proposed approach is verified through numerical simulations.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129469"},"PeriodicalIF":3.4000,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S009630032500195X","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates the optimal tracking and regulation performance of networked control systems (NCSs) with additive colored Gaussian noise (ACGN) and finite bandwidth. The bandwidth-limited channel is described as a non-minimum phase channel, which introduces additional restrictions on performance due to potential non-minimum-phase zeros (NMPZs). The optimal tracking and regulation performance of NCSs is derived using a frequency-domain analysis method and a two-degree-of-freedom control (TDOF) scheme. It is shown that the optimal tracking and regulation performance has a close relation with the intrinsic characteristic of the plant, NMPZs in the channel, bandwidth, and ACGN. Finally, the effectiveness of the proposed approach is verified through numerical simulations.
期刊介绍：
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
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