论文标题

MIMO系统强大的调节问题的分数表示方法

A fractional representation approach to the robust regulation problem for MIMO systems

论文作者

Laakkonen, Petteri

论文摘要

本文的目的是开发统一的频域理论,以实现MIMO系统的稳健调节。实现的主要理论结果是内部模型原理的新公式,可靠的调节问题的可溶性条件以及所有可靠调节控制器的参数化。主要的结果是用最小的假设来制定的,而无需使用副本因素,从而保证了它们使用非常通用的系统的适用性。除了理论结果外,还解决了健壮控制器的设计。结果通过两个涉及延迟和热方程的示例来说明结果。

The aim of this paper is in developing unifying frequency domain theory for robust regulation of MIMO systems. The main theoretical results achieved are a new formulation of the internal model principle, solvability conditions for the robust regulation problem, and a parametrization of all robustly regulating controllers. The main results are formulated with minimal assumptions and without using coprime factorizations, thus guaranteeing their applicability with a very general class of systems. In addition to theoretical results, the design of robust controllers is addressed. The results are illustrated by two examples involving a delay and a heat equation.

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