{"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":3.5000,"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.