有限带宽下加性有色高斯噪声网络控制系统的最优跟踪与调节性能

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-04-18 DOI:10.1016/j.amc.2025.129469

Bin Zhang , Da-Wei Ding

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引用次数: 0

摘要

研究了具有加性有色高斯噪声（ACGN）和有限带宽的网络控制系统的最优跟踪和调节性能。带宽有限的信道被描述为非最小相位信道，由于潜在的非最小相位零（nmpz），它引入了额外的性能限制。采用频域分析方法和二自由度控制（TDOF）方法推导了ncs的最优跟踪和调节性能。结果表明，最优跟踪和调节性能与被控对象的固有特性、信道中的nmpz、带宽和ACGN密切相关。最后，通过数值仿真验证了该方法的有效性。

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Optimal tracking and regulation performance of networked control systems with additive colored Gaussian noise and finite bandwidth

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.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

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.