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奇异摄动双线性系统的稳定化控制
引用本文:华向明,蒋慰孙.奇异摄动双线性系统的稳定化控制[J].华东理工大学学报(自然科学版),1986(Z1).
作者姓名:华向明  蒋慰孙
作者单位:华东化工学院自动化研究所 (华向明),华东化工学院自动化研究所(蒋慰孙)
摘    要:本文对奇异摄动双线性系统,证明基于降阶系统的稳定化控制仍能保证原系统的稳定性,并在此基础上提出一种稳定化控制方案。设计不是直接对原降阶模型,而是对另一简化模型进行。可证明,基于这种简化模型的控制不影响原系统稳定性。另外对此简化模型(近乎双线性模型),本文还建议一种新的稳定化控制方法。所给方法的有效性,通过它对某一实际氨合成塔的绝热式反应床层的仿真研究,得到证实。

关 键 词:控制系统  稳定性  奇摄动  双线性  氨反应器

Stabilizing feedback control for singularly perturbed bilinear systems
Hua Xiangmind and Jiang Weisun.Stabilizing feedback control for singularly perturbed bilinear systems[J].Journal of East China University of Science and Technology,1986(Z1).
Authors:Hua Xiangmind and Jiang Weisun
Institution:Research Centre of Automatic Control
Abstract:In this paper, for a class of singularly perturbed bilinear systems, it is shown that the stabilizing feedback controller for a reduced system can be a stabilizing controller for its original system, and then a method designing the stabilizing feedback controller is presented. Using this method, the design of the controller can be reduced to the design of the controller for a simplified model. Moreover, it is proved that the stabilizability of the last simplified system can still assure that of the original singularly perturbed system. In addition, for the simplified model (called "nearly bilinear" system), a new method for stabilizing feedback control is also proposed, The effectiveness of the given methods is demonstrated through their applications to an adiabatic section of a industrial ammonia reactor.
Keywords:control systems  stability  singular perturbation  bilinear  ammonia reactor
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