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控制系统最优降阶技术与应用
引用本文:薛定宇. 控制系统最优降阶技术与应用[J]. 控制与决策, 1994, 9(6): 420-425
作者姓名:薛定宇
作者单位:东北大学自动控制系
摘    要:
本文给出一种新的控制系统最优降阶技术并介绍其在控制系统设计中的应用,文中引入的最优降阶的准则是在指定输入信号时,对降阶模型与原始模型之间误差的加权最小积分方差。广西重点讨论连续系统的降阶算法,但结论同样适合于离散时间系统,文中还将通过一个例子来淙本方法和其它传统方法相比的优越性。

关 键 词:控制系统 模型降价 最优降阶

Control System Optimal Reduction Technique and its Applications
Xue Dingyu. Control System Optimal Reduction Technique and its Applications[J]. Control and Decision, 1994, 9(6): 420-425
Authors:Xue Dingyu
Affiliation:Northeastern University
Abstract:
In this paper, an optimal reduction technique and its applications in control system design are described. The optimal reduction criterion defined in this paper is to minimise the weighted integral equared error between the output of original model and that of the reduced order one when they are subjected to the same input signal. Considerations are made mainly for continuous systems, however it holds for discrete-time systems as well. An illustrative example is given in this paper to show the merit of the algorithm in comparison with the conventional ones.
Keywords:model reduction   system modelling   optimization   frequency response  
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