scholarly journals Reduced-order state estimation for linear time-varying systems

2009 ◽  
Vol 11 (6) ◽  
pp. 595-609
Author(s):  
In Sung Kim ◽  
Bruno O. S. Teixeira ◽  
Jaganath Chandrasekar ◽  
Dennis S. Bernstein
Keyword(s):  
State Estimation ◽  
Linear Time ◽  
Time Varying ◽  
Reduced Order ◽  
Time Varying Systems ◽  
Order State

scholarly journals Parametric design to reduced-order functional observer for linear time-varying systems

2021 ◽  
pp. 002029402110211
Author(s):  
Da-Ke Gu ◽  
Li-Song Sun ◽  
Yin-Dong Liu
Keyword(s):  
Parametric Design ◽  
Linear Time ◽  
Design Flow ◽  
Observation Error ◽  
Time Varying ◽  
Nonsingular Transformation ◽  
Reduced Order ◽  
Functional Observer ◽  
Time Varying Systems ◽  
Generalized Sylvester Equation

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.

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