Inversion-based output tracking and unknown input reconstruction of square discrete-time linear systems
Inversion-based output tracking and unknown input reconstruction of square discrete-time linear systems
复制标题
平方离散时间线性系统基于反演的输出跟踪和未知输入重构
DOI：
10.1016/j.automatica.2018.05.005
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
K. Khorasani
中科院分区：
文献类型：
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作者：
E. Naderi;K. Khorasani
在本文中，我们提出了一个框架的输出跟踪控制的最小相位（MP）和非最小相位（NMP）系统以及系统的传输零点上的单位圆。为此，首先讨论了非最小相位系统的未知状态和输入重构问题。未知输入观测器（UIO）的设计，准确地重建系统的最小相位状态。重构的最小相位状态用作FIR滤波器的输入，该FIR滤波器被设计用于延迟的非最小相位状态重构。结果表明，量化的重建误差的上限呈指数下降的估计延迟的增加。因此，通过选择足够大的延迟，可以实现几乎完美的状态和输入重构。我们提出的逆方案，然后应用于解决输出跟踪控制问题。此外，我们还提出了一种方法来处理系统的输出跟踪问题，除了MP和NMP零上的单位圆上的传输零点。模拟案例研究也展示和说明我们提出的方法的优点和能力。
In this paper, we propose a framework for output tracking control of both minimum phase (MP) and non-minimum phase (NMP) systems as well as systems with transmission zeros on the unit circle. Towards this end, first the problem of unknown state and input reconstruction of non-minimum phase systems is addressed. An unknown input observer (UIO) is designed that accurately reconstructs the minimum phase states of the system. The reconstructed minimum phase states serve as inputs to an FIR filter that is designed for a delayed non-minimum phase state reconstruction. It is shown that a quantified upper bound of the reconstruction error exponentially decreases as the estimation delay is increased. Therefore, analmostperfect state and input reconstruction can be achieved by selecting the delay to be sufficiently large. Our proposed inversion scheme is then applied to solve the output-tracking control problem. Furthermore, we have also proposed a methodology to handle the output tracking problem of systems that have transmission zeros on the unit circle in addition to MP and NMP zeros. Simulation case studies are also presented to demonstrate and illustrate the merits and capabilities of our proposed methodologies.