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多变量非方系统解耦问题的研究

Research on Multivariable Decoupling Problem of Non-square System
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摘要 多变量非方系统不仅具有多耦合性,还具有结构上的复杂性,即输入输出不等。针对工业过程中经常遇到的非方系统的解耦问题,结合内模控制理论,采用矩阵论中的广义逆方法设计解耦控制器。通过采用将原系统求广义逆以后产生的不稳定极点分离出来的方法来保证系统的内部稳定性。最后通过设计滤波器来保证系统的正则性和动态性能。仿真结果表明,该方法不仅跟踪迅速,动态性能良好,并且实现了系统的完全解耦。 Multivariable non-square system has the shortcomings of its structural complexity, the number of its inputs and outputs are not equal. This paper introduces the concept of generalized inverse matrix. Combining the internal model control method, this paper uses the generalized inverse of the original system as the system optimal controller and uses the method of separating the unstable poles of the system to ensure the internal stability of the system Finally, this paper ensures the stability and regularity of the system through the design of filters. Simulation results show that the method has fast track quality. This paper also achieves complete decoupling of the system.
作者 周超 薛漫天
出处 《微型电脑应用》 2011年第12期5-8,69,共5页 Microcomputer Applications
基金 国家自然科学基金(60874005) 航空科学基金(20090157001)
关键词 非方系统 广义逆 内模控制 解耦控制 Non-square System Generalized Inverse Internal Model Control Decoupling Control
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参考文献6

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