论文标题
重新访问和概括静态和鲁棒输出反馈合成的双重迭代
Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesis
论文作者
论文摘要
伊瓦萨基（Iwasaki）在1997年的会议论文中引入了双重迭代，作为静态输出反馈控制器的具有挑战性和非凸设计的迭代和启发式程序。我们通过证明线性分数表示的框架可以使双重迭代的无缝扩展到实用相关性的输出反馈设计，例如强大的或可靠的增益 - 划分控制器的设计，从而超越了Iwasaki的工作，并超越了Iwasaki的工作。在Iwasaki的论文中，双重迭代仅基于消除引理产生的代数操纵和动机。我们为各个步骤提供了一种新颖的控制理论解释，这为进一步概括强大的方案铺平了道路，以使消除引理不适用的情况。作为说明，我们将双重迭代扩展到具有多个目标的静态输出反馈控制器的设计。我们以文献启发的大量数值示例演示了这种方法。
The dual iteration was introduced in a conference paper in 1997 by Iwasaki as an iterative and heuristic procedure for the challenging and non-convex design of static output-feedback controllers. We recall in detail its essential ingredients and go beyond the work of Iwasaki by demonstrating that the framework of linear fractional representations allows for a seamless extension of the dual iteration to output-feedback designs of practical relevance, such as the design of robust or robust gain-scheduled controllers. In the paper of Iwasaki, the dual iteration is solely based on, and motivated by algebraic manipulations resulting from the elimination lemma. We provide a novel control theoretic interpretation of the individual steps, which paves the way for further generalizations of the powerful scheme to situations where the elimination lemma is not applicable. As an illustration, we extend the dual iteration to a design of static output-feedback controllers with multiple objectives. We demonstrate the approach with numerous numerical examples inspired from the literature.
