Optimal Control and Sparse Modeling

Abstract

Recently, a novel method for signal reconstruction, called compressed sensing or sparse modeling, has been attracting considerable attention in signal processing and machine learning. This method has been extended to optimal control, which is called sparse optimal control or dynamical sparse modeling. This control can stop actuators for a time duration, and the control systems can thus achieve effective energy conservation. In this article, we will discuss how sparsity can be utilized in control systems.