Abstract
A fault-tolerant controller based on robust model predictive control (RMPC) is proposed for hypersonic vehicle with external disturbances and actuator loss of effectiveness faults. Firstly, the polytopic linear parameter-varying (LPV) model is established by Jacobian linearization and tensor-product method. Secondly, considering actuator loss of effectiveness faults and outputs static errors, the augmented faulty model is established. Thirdly, the external disturbances and the faults are transformed into lumped bounded disturbance item. The norm bounded theorem is used to deal with the disturbances. Finally, the fault-tolerant controller is obtained by solving the convex optimization problem under linear matrix inequality (LMI) constraints. Simulation results show that the designed fault-tolerant controller is feasible and effective.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Voland RT, Huebner LD, Mcclinton CR (2005) X-43a hypersonic vehicle technology development. Acta Astronaut 59(1):181–191
Youssef H, Reiman S, Dillon C, Lee H (2006) Adaptive reconfigurable dynamic inversion control for a hypersonic cruise vehicle. In: AIAA Guidance, Navigation & Control Conference & Exhibit, Keystone, Colorado
Tzafestas CS, Rigatos GG, Tzafestas SG (1998) Design of fault-tolerant control systems: passive and active approaches. Cancer Res 51(2):612–618
Gao Z, Jiang B, Shi P, Qian M, Lin J (2012) Active fault tolerant control design for reusable launch vehicle using adaptive sliding mode technique. J Franklin Inst 349(4):1543–1560
Yuan Y, Zheng W, Lei G, Huaping L (2018) Barrier Lyapunov functions-based adaptive fault tolerant control for flexible hypersonic flight vehicles with full state constraints. IEEE Trans Syst Man Cybern Syst PP(99): 1–10
Gao ZF, Lin JX, Cao T (2015) Robust fault tolerant tracking control design for a linearized hypersonic vehicle with sensor fault. Int J Control Autom Syst 13(3):672–679
Gao Z, Jiang B, Shi P, Liu J, Xu Y (2012) Passive fault-tolerant control design for near-space hypersonic vehicle dynamical system. Circuits Syst Signal Process 31(2):565–581
Ma Y, Cai Y (2018) Scheduled composite off-line output feedback model predictive control for a constrained hypersonic vehicle using polyhedral invariant sets. J Aerosp Eng 31(4):04018035
Wang X, Li S, Zheng Y, Yang Y (2017) Double-layered model predictive control strategy with dynamic trajectory calculation. In: 6th International Symposium on Advanced Control of Industrial Processes, Taipei, Taiwan. IEEE Press
Hu C, Cao L, Zhao L, Wang N (2019) Model predictive control-based steering control of unmanned ground vehicle with tire blowout. J Tianjin Univ (Sci Technol) 52(5):468–474
Karimi HR, Hu X, Guo Y, Wu L (2014) Model predictive control-based non-linear fault tolerant control for air-breathing hypersonic vehicles. IET Control Theory Appl 8(13):1147–1153
Parker JT, Serrani A, Yurkovich S, Bolender MA, Doman DB (2007) Control-oriented modeling of an air-breathing hypersonic vehicle. J Guidance Control Dyn 30(3):856–869
Baranyi P (2004) TP model transformation as a way to LMI-based controller design. IEEE Trans Industr Electron 51(2):387–400
Wang M, Liu G, Hou H (2013) Polytopic decomposition of the linear parameter-varying model based on HOSVD. Control Eng China 230:142–147
Lathauwer LD, Moor BD, Vandewalle J (2000) A multilinear singular value decomposition. Society Ind Appl Math 21(4):1253–1278
Ramos DCW, Peres PLD (2002) An LMI condition for the robust stability of uncertain continuous-time linear systems. IEEE Trans Autom Control 47(4):675–678
Wan Z, Kothare MV (2003) An efficient off-line formulation of robust model predictive control using linear matrix inequalities. Automatica 39(5):837–846
Ding B, Xi Y, Cychowski MT, O’Mahony T (2008) A synthesis approach for output feedback robust constrained model predictive control. Automatica 44(1):258–264
Acknowledgments
This work is supported by the National Natural Science Foundation of China under Grant (No. 61773279).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Yang, X., Lv, W., Wei, X., Hu, C. (2020). Fault-Tolerant Control Based on LPV-Robust Model Predictive Control for Hypersonic Vehicle. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2019 Chinese Intelligent Systems Conference. CISC 2019. Lecture Notes in Electrical Engineering, vol 594. Springer, Singapore. https://doi.org/10.1007/978-981-32-9698-5_19
Download citation
DOI: https://doi.org/10.1007/978-981-32-9698-5_19
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-32-9697-8
Online ISBN: 978-981-32-9698-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)