Open AccessParametric design to reduced-order functional observer for linear time-varying systems
Author(s) -
Gu D,
LiSong Sun,
Yindong Liu
Publication year - 2021
Publication title -
measurement + control/measurement and control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.286
H-Index - 21
eISSN - 2051-8730
pISSN - 0020-2940
DOI - 10.1177/00202940211021110
Subject(s) - parameterized complexity , observer (physics) , invertible matrix , parametric statistics , correctness , differentiable function , mathematics , control theory (sociology) , convergence (economics) , transformation (genetics) , series (stratigraphy) , parametric equation , computer science , algorithm , mathematical analysis , control (management) , paleontology , biochemistry , statistics , physics , chemistry , quantum mechanics , artificial intelligence , biology , pure mathematics , economics , gene , economic growth , geometry
This article studies the parametric design of reduced-order functional observer (ROFO) for linear time-varying (LTV) systems. Firstly, existence conditions of the ROFO are deduced based on the differentiable nonsingular transformation. Then, depending on the solution of the generalized Sylvester equation (GSE), a series of fully parameterized expressions of observer coefficient matrices are established, and a parametric design flow is given. Using this method, the observer can be constructed under the expected convergence speed of the observation error. Finally, two numerical examples are given to verify the correctness and effectiveness of this method and also the aircraft control problem.