Sampled-data feedback and stability for a class of uncertain nonlinear systems based on characteristic modeling method  

作　　者：Tiantian JIANG Hongxin WU 

机构地区：[1]Science and Technology on Space Intelligent Control Laboratory,Beijing Institute of Control Engineering

出　　处：《Science China(Information Sciences)》2016年第9期137-151,共15页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.61333008);National Key Basic Research and Development Program of China(973)(Grant No.2013CB733100)

摘　　要：In this paper, we investigate the tracking problem for a class of second-order uncertain nonlinear systems using sampled-data output feedback. Our controller is designed based on the characteristic modeling method. We first derive the corresponding characteristic model and then give the sampled-data feedback control law, which is referred to as ＂golden-section adaptive control based on characteristic models＂. The closedloop system is shown to be stable and, concurrently, it is demonstrated that the tracking error can be made arbitrarily small by taking a sufficiently small sampling period. Our results improve upon the findings of previous work by removing the persistent excitation condition, and also lay certain theoretical foundations for practical applications of golden-section adaptive control.In this paper, we investigate the tracking problem for a class of second-order uncertain nonlinear systems using sampled-data output feedback. Our controller is designed based on the characteristic modeling method. We first derive the corresponding characteristic model and then give the sampled-data feedback control law, which is referred to as ＂golden-section adaptive control based on characteristic models＂. The closedloop system is shown to be stable and, concurrently, it is demonstrated that the tracking error can be made arbitrarily small by taking a sufficiently small sampling period. Our results improve upon the findings of previous work by removing the persistent excitation condition, and also lay certain theoretical foundations for practical applications of golden-section adaptive control.

关 键 词：uncertainty nonlinear system characteristic model golden-section adaptive control sampled-data feedback 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]