학술논문

Moving Horizon Estimation for Stochastic Descriptor Systems With Inaccurate Noise Covariance Matrices
Document Type
Periodical
Source
IEEE Transactions on Industrial Electronics IEEE Trans. Ind. Electron. Industrial Electronics, IEEE Transactions on. 71(8):9530-9540 Aug, 2024
Subject
Power, Energy and Industry Applications
Signal Processing and Analysis
Communication, Networking and Broadcast Technologies
Covariance matrices
Estimation
Kalman filters
Symmetric matrices
State estimation
Current measurement
Mathematical models
Descriptor system
inaccurate noise covariance matrices
inverse Wishart distribution
moving horizon estimation
variational Bayesian inference
Language
ISSN
0278-0046
1557-9948
Abstract
In this article, the problem of state estimation is investigated for stochastic descriptor linear systems with inaccurate process and measurement noise covariance matrices. Under the assumption that the noise and its covariance matrix, respectively, obey the Gaussian distribution and the inverse Wishart distribution, a novel adaptive moving horizon estimator is designed for descriptor systems based on the variational Bayesian inference method. By iteratively updating their approximate posterior probability distributions, the states of descriptor systems are estimated when noise covariance matrices are inaccurate. Finally, the feasibility and effectiveness of the proposed method are verified by experiments performed on the prototype of a dynamic point-the-bit rotary steerable drilling tool.