| 引用本文: | 李韬,陈增强,张纪峰>.比例积分型广义预测控制系统的稳定性分析[J].控制理论与应用,2007,24(1):19~24.[点击复制] |
| LI Tao ,CHEN Zeng-qiang,ZHANG Ji-feng.Stability analysis of systems withproportional-integral generalized predictive control[J].Control Theory and Technology,2007,24(1):19~24.[点击复制] |
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| 比例积分型广义预测控制系统的稳定性分析 |
| Stability analysis of systems withproportional-integral generalized predictive control |
| 摘要点击 1671 全文点击 1526 投稿时间：2005-03-28 修订日期：2006-02-24 |
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| DOI编号 10.7641/j.issn.1000-8152.2007.1.004 |
| 2007,24(1):19-24 |
| 中文关键词 预测控制 比例积分控制 稳定性分析 频域分析 根轨迹法 |
| 英文关键词 predictive control proportional-integral control stability analysis frequency domain
analysis root-locus method |
| 基金项目 国家自然科学基金资助项目 60274021, 60374037, 60428304 |
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| 中文摘要 |
| 广义预测控制(GPC)系统的闭环稳定性一直是控制理论分析的难点. 本文通
过对预测控制系统闭环特征多项式的研究,
证明了一步预测比例积分型GPC系统的闭环稳定性; 同时,
利用根轨迹法分析了控制参数与闭环极点的关系, 明确了比例积分型GPC中参
数的物理意义. 通过一个数值仿真例子,
从频域分析的角度说明了比例积分型GPC较普通
GPC的优越性. |
| 英文摘要 |
| The
stability analysis of the generalized predictive control (GPC)
systems is studied. Based on the analysis of the characteristic
polynomial of the closed-loop GPC systems, the stability of the
closed-loop systems with one step ahead proportional-integral GPCs
is proved. By using the root-locus method, the relationship between
the poles of the closed-loop and the design parameters is explored,
and the practical meanings of the design parameters in the
proportional-integral GPCs are clarified. A simulation example is
presented, by which the superiority of the proportional-integral GPC
over the conventional GPC is explained from
the point of view of frequency domain. |
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