Sampled-data control design for systems with quantized actuators

作     者：Ferrante, Francesco Tarbouriech, Sophie 

作者机构：Department of Engineering University of Perugia Perugia Italy LAAS-CNRS Université de Toulouse CNRS Toulouse France 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2022年第55卷第34期

页      面：37-42页

核心收录：

主　　题：Linear control systems 

摘      要：This paper deals with the problem of designing a sampled-data state feedback control law for continuous-time linear control systems subject to uniform input quantization. The sampled-data state feedback is designed in order to ensure uniform global asymptotic stability (UGAS) of an attractor surrounding the origin. The closed-loop system is rewritten as a hybrid dynamical system. To do this, an auxiliary clock variable triggering the occurrence of sampling events is introduced. A numerically tractable algorithm with feasibility guarantees, based on concave-convex decomposition, is then proposed allowing to minimize the size of the attractor. Theoretical results are illustrated in a numerical example. Copyright © 2022, The Authors. All rights reserved.