Data-driven output regulation control for constrained linear systems  

作　　者：Chaoyu XIA Yi DONG Chaoli WANG Shengyuan XU 

机构地区：[1]Shanghai Research Institute for Intelligent Autonomous Systems,Tongji University,Shanghai 200092,China [2]College of Electronic and Information Engineering,Shanghai Research Institute for Intelligent Autonomous Systems,Tongji University,Shanghai 200092,China [3]Department of Control Science and Engineering,School of Optical-Electrical and Computer Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China [4]Department of Automation,Nanjing University of Science and Technology,Nanjing 210094,China

出　　处：《Science China(Information Sciences)》2025年第3期334-349,共16页中国科学(信息科学)(英文版)

基　　金：supported in part by Shanghai Rising-Star Program(Grant No.22QA1409400);National Natural Science Foundation of China(Grant Nos.62073241,62473287);Shanghai Municipal Science and Technology Major Project(Grant No.2021SHZDZX0100);Fundamental Research Funds for the Central Universities(Grant No.08002150223)。

摘　　要：This study introduces a data-driven approach for state and output feedback control addressing the constrained output regulation problem in unknown linear discrete-time systems.Our method ensures effective tracking performance while satisfying the state and input constraints,even when system matrices are not available.We first establish a sufficient condition necessary for the existence of a solution pair to the regulator equation and propose a data-based approach to obtain the feedforward and feedback control gains for state feedback control using linear programming.Furthermore,we design a refined Luenberger observer to accurately estimate the system state,while keeping the estimation error within a predefined set.By combining output regulation theory,we develop an output feedback control strategy.The stability of the closed-loop system is rigorously proved to be asymptotically stable by further leveraging the concept ofλ-contractive sets.

关 键 词：output regulation constrained system data-driven. 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]