In this paper, a new fault tolerant control scheme with control allocation is presented. The pseudo-inverse along the null-space control allocation is applied to the fault tolerant control system to handle the actuator constraints. The stability of the overall closed-loop system is proved via the small gain theory. The null-space vector is viewed as uncertainty, and is disposed by an integral sliding mode controller and a robust controller. The simulation results show that the new method can solve both failure scenarios and actuator saturation problems well.
AlwiH (2008) Fault tolerant sliding mode control schemes with aerospace applications. PhD Thesis, University of Leicester, UK.
2.
AlwiHEdwardsC (2008) Fault tolerant control using sliding modes with on-line control allocation. Automatica44(7): 1859–1866.
3.
BodsonM (2002) Evaluation of optimization methods for control allocation. Journal of Guidance, Control, and Dynamics25(4): 703–711.
4.
BordingnonKADurhamWC (1995a) Closed-form solutions to constrained control allocation problem. Journal of Guidance, Control, and Dynamics18(18): 1000–1007.
5.
BordignonKADurhamW (1995b) Null-space augmented solutions to constrained control allocation problem. In: Guidance, Navigation, and Control Conference, Baltimore, USA, 7–10 August, pp. 328–333. Reston, VA: AIAA.
6.
BozorgniaDSedighAK (2013) A new control allocation methodology based on the pseudo inverse along the null space. In: 21st Iranian Conference on Electrical Engineering, Mashhad, Iran, 14–16 May, pp. 1–4. New York, NY: IEEE.
7.
BuffingtonJChandlerPPachterM (1999) On-line system identification for aircraft with distributed control effectors. International Journal of Robust and Nonlinear Control9(14): 1033–1049.
8.
CastañosFFridmanL (2006) Analysis and design of integral sliding manifolds for systems with unmatched perturbations. IEEE Transactions on Automatic Control51(5): 853–858.
9.
DavidsonJBLallmanFJBundickWT (2001) Real-time adaptive control allocation applied to a high performance aircraft. In: 5th SIAM Conference on Control and Its Application, California, USA, 9–13 July. Hampton, VA: NASA Langley Technical Reports Server.
10.
de VriesP SVan KampenEJ (2019) Reinforcement learning-based control allocation for the innovative control effectors aircraft. In: AIAA Scitech 2019 Forum, California, USA, 7–11 January. Reston, VA: AIAA.
11.
DurhamWC (1993) Constrained control allocation. Journal of Guidance Control & Dynamics16(4): 717–725.
12.
DurhamWC (1994) Constrained control allocation-three-moment problem. Journal of Guidance, Control, and Dynamics17(2): 330–336.
13.
EnnsD (1998) Control allocation approaches. In: Guidance, Navigation, and Control Conference and Exhibit, Boston, USA, 10–12 August, pp. 98–108. Reston, VA: AIAA.
14.
HamayunMT (2013) Integral sliding mode fault tolerant control schemes with control allocation. PhD Thesis, University of Leicester, UK.
15.
HamayunMTEdwardsCAlwiH (2010) Integral sliding mode fault tolerant control incorporating on-line control allocation. In: Variable Structure Systems (VSS), Mexico, USA, 26–28 June, pp. 100–105. New York, NY: IEEE.
16.
HangXDuanG (2018) A developed constrained control allocation approach based on pseudo inverse. In: 2017 Chinese Automation Congress, Jinan, China, 20–22 October 2017, pp. 195–200. New York, NY: IEEE.
17.
HärkegårdOGladST (2005) Resolving actuator redundancy—optimal control vs. control allocation. Automatica41(1): 137–144.
18.
HuQLiBZhangY (2014) Nonlinear proportional-derivative control incorporating closed-loop control allocation for spacecraft. Journal of Guidance, Control, and Dynamics37(3): 799–812.
19.
HuQTanXAkellaMR (2017) Closed-loop-based control allocation for spacecraft attitude stabilization with actuator fault. Journal of Guidance, Control, and Dynamics41(4): 1–10.
20.
IjazSHamayunMTYanL, et al. (2019) Adaptive fault tolerant control of dissimilar redundant actuation system of civil aircraft based on integral sliding mode control strategy. Transactions of the Institute of Measurement and Control41(13): 3756–3768.
21.
JohansenTAFossenTI (2013) Control allocation—A survey. Automatica49(5): 1087–1103.
22.
TohidiSSKhaki SedighABuzorgniaD (2016) Fault tolerant control design using adaptive control allocation based on the pseudo inverse along the null space. International Journal of Robust & Nonlinear Control26(16): 3541–3557.
23.
WangYZhouPChenJA, et al. (2018) Finite time attitude tracking control of an autonomous airship. Transactions of the Institute of Measurement and Control40(1): 155–162.
24.
XuJXPanYJLeeTH (2003) Analysis and design of integral sliding mode control based on Lyapunov’s direct method. In: Proceedings of the 2003 American Control Conference, Denver, USA, 4–6 June, pp. 192–196. New York, NY: IEEE.
25.
ZhangYZhengHZhangJ, et al. (2018) A fault-tolerant control method for 4WIS/4WID electric vehicles based on reconfigurable control allocation. Report, Jilin University, China, January.