Title: Tube-MPC method via estimation for flexible hypersonic vehicle with input delay

Authors: Taoyi Chen; Huixiang Peng; Xiaoyu Chang; Xiaonan Zhang; Xinyue Liu

Addresses: CETC Key Laboratory of Aerospace Information Applications, The 54th Research Institute of China Electronics Technology Group Corporation, Shijiazhuang, Hebei, 050081, China; School of Electrical and Information Engineering, Tianjin University, Tianjin, 300072, China ' CETC Key Laboratory of Aerospace Information Applications, The 54th Research Institute of China Electronics Technology Group Corporation, Shijiazhuang, Hebei, 050081, China; School of Electrical and Information Engineering, Tianjin University, Tianjin, 300072, China ' CETC Key Laboratory of Aerospace Information Applications, The 54th Research Institute of China Electronics Technology Group Corporation, Shijiazhuang, Hebei, 050081, China; School of Electrical and Information Engineering, Tianjin University, Tianjin, 300072, China ' CETC Key Laboratory of Aerospace Information Applications, The 54th Research Institute of China Electronics Technology Group Corporation, Shijiazhuang, Hebei, 050081, China; School of Electrical and Information Engineering, Tianjin University, Tianjin, 300072, China ' CETC Key Laboratory of Aerospace Information Applications, The 54th Research Institute of China Electronics Technology Group Corporation, Shijiazhuang, Hebei, 050081, China; School of Electrical and Information Engineering, Tianjin University, Tianjin, 300072, China

Abstract: In this paper, a novel tube model predictive control (Tube-MPC) method is proposed for flexible hypersonic vehicle with input delay. Firstly, input delay is approached and identified by all-pole approximation and gradient estimation methods respectively. Secondly, the polytopic linear parameter-varying (LPV) model is established. On the basis, the Tube-MPC controller is designed to handle input delay and parameter uncertainty using the predictive state over the delay period. For the bounded predictive error resulted from the delay estimation error, the nominal controller of Tube-MPC is updated by redesigning the invariant set based on the baseline controller. Then, the stability of the closed-loop system is guaranteed. Finally, the simulation results verify the proposed method's effectiveness for flexible hypersonic vehicle with input delay.

Keywords: flexible hypersonic vehicle; input delay; tube model predictive control; Tube-MPC; prediction.

DOI: 10.1504/IJMIC.2025.147936

International Journal of Modelling, Identification and Control, 2025 Vol.46 No.1, pp.1 - 11

Received: 02 Mar 2023
Accepted: 06 Feb 2024
Published online: 11 Aug 2025 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article