Subspace Identification for Closed-Loop Systems With Unknown Deterministic Disturbances  

作　　者：Kuan Li Hao Luo Yuchen Jiang Dejia Tang Hongyan Yang 

机构地区：[1]IEEE [2]Shanghai Aerospace Control Technology Institute,Shanghai 201109,China [3]the Control and Simulation Center,School of Astronautics,Harbin Institute of Technology,Harbin 150006,China [4]the Faculty of Information Technology,Engineering Research Center of Digital Community,Ministry of Education,Beijing University of Technology,Beijing 100124,China

出　　处：《IEEE/CAA Journal of Automatica Sinica》2023年第12期2248-2257,共10页自动化学报（英文版）

基　　金：partially supported by National Key Research and Development Program of China(2019YFC1510902);National Natural Science Foundation of China(62073104);Natural Science Foundation of Heilongjiang Province(LH2022F024);China Postdoctoral Science Foundation(2022M710965)。

摘　　要：This paper presents a subspace identification method for closed-loop systems with unknown deterministic disturbances.To deal with the unknown deterministic disturbances,two strategies are implemented to construct the row space that can be used to approximately represent the unknown deterministic disturbances using the trigonometric functions or Bernstein polynomials depending on whether the disturbance frequencies are known.For closed-loop identification,CCF-N4SID is extended to the case with unknown deterministic disturbances using the oblique projection.In addition,a proper Bernstein polynomial order can be determined using the Akaike information criterion(AIC)or the Bayesian information criterion(BIC).Numerical simulation results demonstrate the effectiveness of the proposed identification method for both periodic and aperiodic deterministic disturbances.

关 键 词：Bernstein polynomial closed-loop system subspace identification unknown deterministic disturbances 

分 类 号：N945.14[自然科学总论—系统科学]