Joint State and Parameter Estimation for Hypersonic Glide Vehicles Based on Moving Horizon Estimation via Carleman Linearization

Aimed at joint state and parameter estimation problems in hypersonic glide vehicle defense, a novel moving horizon estimation algorithm via Carleman linearization is developed in this paper. First, the maneuver characteristic parameters that reflect the target maneuver law are extended into the stat...

Full description

Bibliographic Details
Main Authors: Yudong Hu, Changsheng Gao, Wuxing Jing
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Aerospace
Subjects:
Online Access:https://www.mdpi.com/2226-4310/9/4/217
_version_ 1797437457395875840
author Yudong Hu
Changsheng Gao
Wuxing Jing
author_facet Yudong Hu
Changsheng Gao
Wuxing Jing
author_sort Yudong Hu
collection DOAJ
description Aimed at joint state and parameter estimation problems in hypersonic glide vehicle defense, a novel moving horizon estimation algorithm via Carleman linearization is developed in this paper. First, the maneuver characteristic parameters that reflect the target maneuver law are extended into the state vector, and a dynamic tracking model applicable to various hypersonic glide vehicles is constructed. To improve the estimation accuracy, constraints such as path and parameter change amplitude constraints in flight are taken into account, and the estimation problem is transformed into a nonlinear constrained optimal estimation problem. Then, to solve the problem of high time cost for solving a nonlinear constrained optimal estimation problem, in the framework of moving horizon estimation, nonlinear constrained optimization problems are transformed into bilinear constrained optimization problems by linearizing the nonlinear system via Carleman linearization. For ensuring the consistency of the linearized system with the original nonlinear system, the linearized model is continuously updated as the window slides forward. Moreover, a CKF-based arrival cost update algorithm is also provided to improve the estimation accuracy. Simulation results demonstrate that the proposed joint state and parameter estimation algorithm greatly improves the estimation accuracy while reducing the time cost significantly.
first_indexed 2024-03-09T11:19:32Z
format Article
id doaj.art-c73f82176c924c248193477a3e7fdcd2
institution Directory Open Access Journal
issn 2226-4310
language English
last_indexed 2024-03-09T11:19:32Z
publishDate 2022-04-01
publisher MDPI AG
record_format Article
series Aerospace
spelling doaj.art-c73f82176c924c248193477a3e7fdcd22023-12-01T00:22:27ZengMDPI AGAerospace2226-43102022-04-019421710.3390/aerospace9040217Joint State and Parameter Estimation for Hypersonic Glide Vehicles Based on Moving Horizon Estimation via Carleman LinearizationYudong Hu0Changsheng Gao1Wuxing Jing2School of Astronautics, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Astronautics, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Astronautics, Harbin Institute of Technology, Harbin 150001, ChinaAimed at joint state and parameter estimation problems in hypersonic glide vehicle defense, a novel moving horizon estimation algorithm via Carleman linearization is developed in this paper. First, the maneuver characteristic parameters that reflect the target maneuver law are extended into the state vector, and a dynamic tracking model applicable to various hypersonic glide vehicles is constructed. To improve the estimation accuracy, constraints such as path and parameter change amplitude constraints in flight are taken into account, and the estimation problem is transformed into a nonlinear constrained optimal estimation problem. Then, to solve the problem of high time cost for solving a nonlinear constrained optimal estimation problem, in the framework of moving horizon estimation, nonlinear constrained optimization problems are transformed into bilinear constrained optimization problems by linearizing the nonlinear system via Carleman linearization. For ensuring the consistency of the linearized system with the original nonlinear system, the linearized model is continuously updated as the window slides forward. Moreover, a CKF-based arrival cost update algorithm is also provided to improve the estimation accuracy. Simulation results demonstrate that the proposed joint state and parameter estimation algorithm greatly improves the estimation accuracy while reducing the time cost significantly.https://www.mdpi.com/2226-4310/9/4/217hypersonic glide vehiclesjoint state and parameter estimationmoving horizon estimationCarleman linearizationconstrained optimization probleminequality constraints
spellingShingle Yudong Hu
Changsheng Gao
Wuxing Jing
Joint State and Parameter Estimation for Hypersonic Glide Vehicles Based on Moving Horizon Estimation via Carleman Linearization
Aerospace
hypersonic glide vehicles
joint state and parameter estimation
moving horizon estimation
Carleman linearization
constrained optimization problem
inequality constraints
title Joint State and Parameter Estimation for Hypersonic Glide Vehicles Based on Moving Horizon Estimation via Carleman Linearization
title_full Joint State and Parameter Estimation for Hypersonic Glide Vehicles Based on Moving Horizon Estimation via Carleman Linearization
title_fullStr Joint State and Parameter Estimation for Hypersonic Glide Vehicles Based on Moving Horizon Estimation via Carleman Linearization
title_full_unstemmed Joint State and Parameter Estimation for Hypersonic Glide Vehicles Based on Moving Horizon Estimation via Carleman Linearization
title_short Joint State and Parameter Estimation for Hypersonic Glide Vehicles Based on Moving Horizon Estimation via Carleman Linearization
title_sort joint state and parameter estimation for hypersonic glide vehicles based on moving horizon estimation via carleman linearization
topic hypersonic glide vehicles
joint state and parameter estimation
moving horizon estimation
Carleman linearization
constrained optimization problem
inequality constraints
url https://www.mdpi.com/2226-4310/9/4/217
work_keys_str_mv AT yudonghu jointstateandparameterestimationforhypersonicglidevehiclesbasedonmovinghorizonestimationviacarlemanlinearization
AT changshenggao jointstateandparameterestimationforhypersonicglidevehiclesbasedonmovinghorizonestimationviacarlemanlinearization
AT wuxingjing jointstateandparameterestimationforhypersonicglidevehiclesbasedonmovinghorizonestimationviacarlemanlinearization