Fully actuated system approach for stabilization control of sub-strict feedback systems

Guangren DUAN

doi:10.7527/S1000-6893.2023.29552

ACTA AERONAUTICAET ASTRONAUTICA SINICA >

2024 , Vol. 45 >Issue 1: 629552 - 629552

DOI: https://doi.org/10.7527/S1000-6893.2023.29552

Special Topic: Fully Actuated System Theory and Its Applications in Aerospace Field

Fully actuated system approach for stabilization control of sub-strict feedback systems

Guangren DUAN

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^1.Center for Control Theory and Guidance Technology，Harbin Institute of Technology，Harbin 　150001，China
^2.Shenzhen Key Laboratory of Control Theory and Intelligent Systems，Southern University of Science and Technology，Shenzhen 　518055，China

E-mail： g.r.duan@hit.edu.cn

Received date: 2023-09-08

Revised date: 2023-10-08

Accepted date: 2023-10-31

Online published: 2023-11-01

Supported by

Shenzhen Key Laboratory of Control Theory and Intelligent Systems(ZDSYS20220330161800001);Science Center Program of National Natural Science Foundation of China(62188101);Major Program of National Natural Science Foundation of China(61690210);National Natural Science Foundation of China(61333003)

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Abstract

This paper proposes a substabilization control method for a class of strict feedback systems with singular value gain functions based on Fully Actuated System （FAS） approach. Firstly， the definition of sub-Strict Feedback System （sub-SFS）， including the feasible set and singular set of this system， is given. Then， it is revealed that the sub-SFS can be transformed into a sub-FAS with high order by model transformation under certain conditions， and the corresponding attraction region is described precisely based on the concepts of substability and substabilization of FAS. Furthermore， by using the control characteristics of FAS， the stabilization control law of the sub-SFS can be explicitly solved in a very simple way， and the linear constant closed-loop control system is obtained. The proposed approach not only greatly reduces the design complexity， but also effectively avoids the controller singularity problem by using the feasibility conditions. Finally， theoretical stability analysis and numerical simulation are conducted to illustrate the effectiveness of the proposed approach.

Key words： sub-strict feedback system; fully-actuated system approach; substability; substabilization; singular value

Cite this article

Guangren DUAN . Fully actuated system approach for stabilization control of sub-strict feedback systems[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2024 , 45(1) : 629552 -629552 . DOI: 10.7527/S1000-6893.2023.29552

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