Control of Parameter-dependent High-order Systems using Parametric Model Reduction
Control of Parameter-dependent High-order Systems using Parametric Model Reduction
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DOI：
10.1515/auto-2014-1096
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发表时间：
2014-07
期刊：
影响因子：
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通讯作者：
M. Geuß;Cholwoo Choi;B. Lohmann
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文献类型：
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作者：
M. Geuß;Cholwoo Choi;B. Lohmann
摘要本文针对高维参数依赖LTI系统设计了控制器和观测器。为了使用常用的控制方法，提出了通过矩阵插值的参数模型降阶的应用。在离线阶段，对参数空间进行采样，并使用基于投影的模型降阶获得一组局部降阶系统，这导致系统矩阵的数据库。在在线阶段，可以通过从数据库中插值系统矩阵来计算针对期望的参数向量的简化系统。控制器和观测器可以获得内插系统使用控制设计的常见方法。该方法通过一个实际的例子，在试验台上的门式起重机与不同的负载运行。
Abstract In this paper controllers and observers are designed for high-dimensional parameter-dependent LTI systems. The application of parametric model order reduction by matrix interpolation is proposed in order to use common methods of control. In the offline phase, the parameter space is sampled and a set of locally reduced systems is obtained using projection-based model order reduction, which results in a database of system matrices. In the online phase, a reduced system can be calculated for a desired parameter vector by interpolating the system matrices from the database. Controllers and observers can be obtained for the interpolated system using common methods of control design. The approach is demonstrated through a practical example on a test rig for a gantry crane operating with different loads.