非平方LTI MIMO系统的无极GMVC和LQR设计

2011 16th International Conference on Methods & Models in Automation & Robotics Pub Date : 2011-09-29 DOI:10.1109/MMAR.2011.6031324

W. Hunek, R. Stanisławski, K. Latawiec, M. Lukaniszyn

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引用次数: 2

摘要

本文提出了非平方LTI MIMO系统的(确定性)广义最小方差控制和线性二次调节的(结构稳定)无极点控制设计。对于这两种离散时间控制策略，都提供了两种替代方法，一种是与控制权矩阵趋于零的极限控制解相关的数值方法，另一种是由解析导出的完美控制产生的方法，这种方法可以将权矩阵直接置于零。在后一种情况下，解决方案与最小方差控制相同，在这种情况下，无极点设计必须考虑所谓的控制零点，即非平方LTI MIMO系统的传输零点的扩展。仿真算例说明了本文的理论成果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Pole-free GMVC and LQR designs for nonsquare LTI MIMO systems

This paper presents (structurally stable) pole-free control designs for (a deterministic version of) generalized minimum variance control and linear quadratic regulation for nonsquare LTI MIMO systems. For both discrete-time control strategies, two alternative approaches are offered, the numerical one related with limiting control solutions as control weighting matrices tend to the zero ones and the other produced by analytically-derived perfect controls, for which it is possible to put the weighting matrices directly to the zero ones. In the latter case, the solutions are identical with that for minimum variance control, in which case the pole-free designs must account for the so-called control zeros, being the extension of transmission zeros for nonsquare LTI MIMO systems. Simulation examples illustrate the theoretical achievements of the paper.

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2011 16th International Conference on Methods & Models in Automation & Robotics

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