High-order fully actuated system approaches: Part VIII. Optimal control with application in spacecraft attitude stabilisation

Duan，Guangren1,2

2021

10.1080/00207721.2021.1937750

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE   影响因子和分区

0020-7721

1464-5319

In this paper, the optimal control problem for dynamical systems represented by general high-order fully actuated (HOFA) models is formulated. The problem aims to minimise an objective in the quadratic form of the states and their derivatives of certain orders. The designed controller is a combination of the linearising nonlinear controller and an optimal quadratic controller for a converted linear system. In the infinite-time output regulation case, the solution is in essence a nonlinear state feedback dependent on a well-known Riccati algebraic equation. In the sub-fully actuated system case, the feasibility of the controller is investigated and guaranteed by properly characterising a ball restriction area of the system initial values. Application of the optimal control technique for sub-fully actuated systems to a spacecraft attitude control provides very smooth and steady responses and well demonstrates the effect and simplicity of the proposed approach.

attitude control feasibility conditions fully actuated systems Optimal control output regulation

SCI ; EI

英语

第一 ; 通讯

WOS:000663651200001

20212510541477

Attitude control ; Dynamical systems ; Linear systems ; Nonlinear equations ; Number theory ; Optimal control systems ; State feedback

Control Systems:731.1 ; Specific Variables Control:731.3 ; Control Equipment:732.1 ; Systems Science:961

ENGINEERING

2-s2.0-85108268962

Scopus

1.Center for Control Science and Technology,Southern University of Science and Technology,Shenzhen,China
2.Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin,China

Duan，Guangren. High-order fully actuated system approaches: Part VIII. Optimal control with application in spacecraft attitude stabilisation[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE,2021,53:54-73.

Duan，Guangren.(2021).High-order fully actuated system approaches: Part VIII. Optimal control with application in spacecraft attitude stabilisation.INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE,53,54-73.

Duan，Guangren."High-order fully actuated system approaches: Part VIII. Optimal control with application in spacecraft attitude stabilisation".INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 53(2021):54-73.