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比例积分型广义预测控制系统的稳定性分析
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.
作者姓名:李韬  陈增强  张纪峰>
作者单位:1. 中国科学院数学与系统科学研究院,系统科学研究所,北京,100080
2. 南开大学,自动化系,天津,300071
基金项目:国家自然科学基金资助项目 60274021, 60374037, 60428304
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.

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
文章编号:1000-8152(2007)01-0019-06
收稿时间:2005/3/28 0:00:00
修稿时间:2005-03-282006-02-24

Stability analysis of systems with proportional-integral generalized predictive control
LI Tao,CHEN Zeng-qiang,ZHANG Ji-feng.Stability analysis of systems with proportional-integral generalized predictive control[J].Control Theory & Applications,2007,24(1):19-24.
Authors:LI Tao  CHEN Zeng-qiang  ZHANG Ji-feng
Institution:1. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China; 2. Department of Automation, Nankai University, Tianjin 300071, China
Abstract: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.
Keywords:predictive control  proportional-integral control  stability analysis  frequency domain analysis  root-locus method
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