论文标题
与拉索的非线性VRFT
Nonlinear VRFT with LASSO
论文作者
论文摘要
虚拟参考反馈调整（VRFT）是一种众所周知且非常成功的数据驱动控制设计方法。它最初是为线性植物构想的，除了已经找到了许多实际应用外，文献中已经对这种原始配方进行了很多探索。早期已经提出了非线性版本的VRFT，但以后并没有太多探索。在本文中，我们强调了非线性VRFT应用涉及的各种问题，并提出将L1正则化纳入其制定中。我们通过两个简单的示例来说明两个方面所起的关键作用：L1正则化和用于描述控制器非线性的字典的选择。
Virtual Reference Feedback Tuning (VRFT) is a well known and very successful data-driven control design method. It has been initially conceived for linear plants and this original formulation has been much explored in the literature, besides having already found many practical applications. A nonlinear version of VRFT has been proposed early on, but not much explored later on. In this paper we highlight various issues involved in the application of nonlinear VRFT and propose the inclusion of L1 regularization in its formulation. We illustrate by means of two simple examples the critical role played by two aspects: the L1 regularization and the choice of dictionary used to describe the nonlinearity of the controller.
