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一阶滞后对象广义预测控制下的闭环稳定性分析
  • 期刊名称：航空学报, Vol.28, No.3, 1-7, 2007
  • 时间：0
  • 分类：V249.121[航空宇航科学与技术—飞行器设计;航空宇航科学技术] TP273.2[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]中国科学院数学与系统科学研究院,北京100080, [2]南开大学自动化系,天津300071
  • 相关基金：国家自然科学基金（60221301,60334040,60428304）
  • 相关项目：控制科学中若干关键基础问题的研究
关键词： 预测控制, 稳定性条件, 一阶对象, 时间滞后, 鲁棒性, predictive control, stability condition, first order system, time-delay, robustness
中文摘要：

利用参数模型和非参数模型相结合的方法，给出了一阶滞后对象在广义预测控制下闭环稳定的充要条件。发现：（1）对开环稳定的一阶滞后对象，总存在一组控制器参数，使得在该控制器控制下，无论对象的开环增益K与时间常数T如何变化，闭环系统都保持稳定；（2）对于开环不稳定的一阶滞后对象，无论控制器参数如何选取，当K和T的变化超出一定范围时，闭环系统就会失去稳定性。

英文摘要：

The necessary and sufficient conditions are established for the closed loop stability of generalized predictive control （GPC） applied to first order systems with time-delay by combining parametric and non paramet tic models. It is shown that： （1） if the open-loop system is stable, then there must be a controller such that the closed-loop system will remain stable whatever the open-loop gain K and the time constant T change into; （2） while if the open loop system is unstable, then whatever the controller parameters are chosen as, the closed-loop stability will be lost when K and T go out of the stability region.

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