Title: Output feedback polytopic LPV Tube-RMPC control for air-breathing hypersonic vehicles

Authors: Chaofang Hu; Xianpeng Zhou; Yanli Ren; Ye Tao

Addresses: Tianjin Key Laboratory of Process Measurement and Control, School of Electrical Engineering and Automation, Tianjin University, Tianjin, 300072, China ' Tianjin Key Laboratory of Process Measurement and Control, School of Electrical Engineering and Automation, Tianjin University, Tianjin, 300072, China ' Tianjin Key Laboratory of Process Measurement and Control, School of Electrical Engineering and Automation, Tianjin University, Tianjin, 300072, China ' Tianjin Key Laboratory of Process Measurement and Control, School of Electrical Engineering and Automation, Tianjin University, Tianjin, 300072, China

Abstract: This paper proposes an output feedback tube-based robust model predictive control (Tube-RMPC) scheme for air-breathing hypersonic vehicles. Firstly, the polytopic linear parameter varying (LPV) model is established by Jacobian linearisation and tensor-product (T-P) modelling for the longitudinal dynamics. Secondly, a robust polytopic state observer is designed to estimate the attack angle, pitch angle and pitch rate by utilising the limited information of altitude and velocity. Then, the Tube-RMPC controller satisfying all vertices of polytopic LPV model is presented. Wherein, estimation error and control error are bounded by two robust positively invariant sets respectively. The Tube-RMPC controller ensures that actual states lie in a tube centred with the nominal states. The input constraints of original system are guaranteed by employing tighter constraints for nominal system. Finally, simulation results show the feasibility and effectiveness of the proposed method for hypersonic vehicles.

Keywords: robust model predictive control; RMPC; output feedback; tube; air-breathing hypersonic vehicle; polytopic LPV model.

DOI: 10.1504/IJMIC.2017.087052

International Journal of Modelling, Identification and Control, 2017 Vol.28 No.4, pp.336 - 348

Received: 02 Sep 2016
Accepted: 30 Nov 2016
Published online: 05 Oct 2017 *

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