| 引用本文: | 陈 俐,张建武,习 纲.Δ变换与数字控制器误差分析[J].控制理论与应用,2001,18(1):91~94.[点击复制] |
| CHEN Li,ZHANG Jian-wu,XI Gang.Error Analysis of Digital Controller Using δ Operators[J].Control Theory and Technology,2001,18(1):91~94.[点击复制] |
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| Δ变换与数字控制器误差分析 |
| Error Analysis of Digital Controller Using δ Operators |
| 摘要点击 1758 全文点击 1081 投稿时间：1999-02-09 修订日期：2000-01-18 |
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| DOI编号 10.7641/j.issn.1000-8152.2001.1.020 |
| 2001,18(1):91-94 |
| 中文关键词 Δ变换 δ算子 有限字长 数字控制 |
| 英文关键词 Δ-transform δ-operator finite word length digital control |
| 基金项目 福特-中国发展与研究基金(09415526)资助项目. |
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| 中文摘要 |
| 当采样周期T →0 时,Δ变换描述的离散模型收敛于连续系统. 引入Δ变换离散方法,分析δ算子的浮点误差. 以二阶系统为算例,在离散域内设计极点配置控制器,跟踪理想输出. 仿真结果表明,与z 算子相比,在计算机有限字长实现时,δ算子受舍入截尾扰动的影响较小,精度高,算法稳定. |
| 英文摘要 |
| A discrete model described by Δ-transform converges to its continuous counterpart as sample time T →0. Introducing Δ-transform as a new digital control method. This paper analyses the floating error of the correspondingδ-operator and designs a poleassignment controller to track ideal output directly in discrete field. The simulation results from a 2-order system show that δ-operator has better performance for round off noise caused by finite word length ,higher accuracy and stability than z-operator. |
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