There often exist strong coupled characteristics between the space robot platform and the manipulators. The neglect of the coupled factors may induce undesired control performance or even lead to system crash. In this paper, a novel robust adaptive coordinated control scheme is developed for a space robot with coupled uncertainties and external disturbances. By proposing a multivariable generalized super-twisting algorithm, the bounded disturbances together with uncertainties could be compensated. An adaptation tuning approach is developed to deal with the unknown bounds. Meanwhile, the sliding mode disturbance observer is introduced to alleviate the system conservatism and improve convergence rate and accuracy. As a result, the accurate state tracking is achieved in finite time. A proof of the finite-time convergence is derived using the Lyapunov theory. Simulations are carried out on a space robot with a three-degrees-of-freedom manipulator to demonstrate the effectiveness and robustness of the proposed method.
Flores-AbadAMaOPhamKet al.A review of space robotics technologies for on-orbit servicing. Prog Aerosp Sci2014; 68: 1–26.
2.
Papadopoulos E and Dubowsky S. Coordinated manipulator/spacecraft motion control for space robotic systems. In: Proceedings of the 1991 IEEE international conference on robotics and automation, Sacramento, CA, USA, 9–11 April 1991, pp.1696–1701. New York: IEEE.
3.
Xu Y, Shum HY, Lee JJ, et al. Adaptive control of space robot system with an attitude controlled base. In: Proceedings of the 1992 IEEE international conference on robotics and automation, Nice, France, 12–14 May 1992, pp.2005–2010. New York: IEEE.
4.
Oda M. Coordinated control of spacecraft attitude and its manipulator. In: Proceedings of the 1996 13th IEEE international conference on robotics and automation, Part 1 (of 4), Minneapolis, MN, USA, 22–28 April 1996, pp.732–738. New York: IEEE.
5.
OdaM. Attitude control experiments of a robot satellite. J Spacecraft Rockets2000; 37: 788–793.
6.
ShiLLKayasthaSKatupitiyaJ. Robust coordinated control of a dual-arm space robot. Acta Astronaut2017; 138: 475–489.
7.
JayakodyHSShiLLKatupitiyaJet al.Robust adaptive coordination controller for a spacecraft equipped with a robotic manipulator. J Guid Control Dyn2016; 39: 2699–2711.
8.
ZhangBLiangBWangZet al.Coordinated stabilization for space robot after capturing a noncooperative target with large inertia. Acta Astronaut2017; 134: 75–84.
9.
Arisoy A, Bayrakceken MK, Basturk S, et al. High order sliding mode control of a space robot manipulator. In: RAST 2011 - Proceedings of 5th international conference on recent advances in space technologies: IEEE Computer Society, Istanbal, 9–11 June 2011, pp.833–838.
10.
Nguyen-HuynhTCSharfI. Adaptive reaction less motion and parameter identification in postcapture of space debris. J Guid Control Dyn2013; 36: 404–414.
11.
AbikoSYoshidaK. Adaptive reaction control for space robotic applications with dynamic model uncertainty. Adv Robot2010; 24: 1099–1126.
12.
ParlaktunaOOzkanM. Adaptive control of free-floating space manipulators using dynamically equivalent manipulator model. Robot Auton Syst2004; 46: 185–193.
13.
ZhangWHYeXPJiangLHet al.Output feedback control for free-floating space robotic manipulators base on adaptive fuzzy neural network. Aerosp Sci Technol2013; 29: 135–143.
14.
OkiTNakanishiHYoshidaK. Time-optimal manipulator control for management of angular momentum distribution during the capture of a tumbling target. Adv Robot2010; 24: 441–466.
15.
Farhad A. Optimal control of a space manipulator for detumbling of a target satellite. In: 2009 IEEE international conference on robotics and automation, Kobe, Japan, 12–17 May 2009, pp.3019–3024. New York: IEEE.
16.
TorresMADubowskyS. Minimizing spacecraft attitude disturbances in space manipulator systems. J Guid Control Dyn1992; 15: 1010–1017.
17.
CocuzzaSPrettoIDebeiS. Least-squares-based reaction control of space manipulators. J Guid Control Dyn2012; 35: 976–986.
18.
FangYZhangWYeX. Variable structure control for space robots based on neural networks. Int J Adv Robot Syst2014; 11: 1–1.
19.
KumarNPanwarVBormJHet al.Adaptive neural controller for space robot system with an attitude controlled base. Neural Comput Appl2013; 23: 2333–2340.
20.
ChengJChenL. Coordinated robust control based on extended state observer of dual-arm space robot with closed chain for transferring a target. Proc IMechE, Part G: J Aerospace Engineering2017.
21.
NenchevDUmetaniYYoshidaK. Analysis of a redundant free-flying spacecraft manipulator system. IEEE Trans Robot Autom1992; 8: 1–6.
22.
UtkinV. Sliding modes in control and optimization, Berlin: Springer, 1992.
23.
UtkinVShiJ. Sliding mode control on electromechanical systems, 1st ed. New York: Taylor Francis, 1999.
24.
Fridman L and Levant A. Higher order sliding modes as a natural phenomenon in control theory. In: Garofalo F and Glielmo L (eds) LNCIS: Vol. 217. Robust control via variable structure and Lyapunov techniques. 1996, pp.107–133. Berlin, Heidelberg: Springer.
25.
LevantA. Sliding order and sliding accuracy in sliding mode control. Int J Control1993; 58: 1247–1263.
26.
HallCEShtesselYB. Sliding mode disturbance observer-based control for a reusable launch vehicle. J Guid Control Dyn2006; 29: 1315–1328.
27.
GonzalezTMorenoJAFridmanL. Variable gain super-twisting sliding mode control. IEEE Trans Autom Control2012; 57: 2100–2105.
28.
ShtesselYTalebMPlestanF. A novel adaptive-gain supertwisting sliding mode controller: Methodology and application. Automatica2012; 48: 759–769.
29.
NageshIEdwardsC. A multivariable super-twisting sliding mode approach. Automatica2014; 50: 984–988.
30.
VidalPVNMNunesEVLHsuL. Output-feedback multivariable global variable gain super-twisting algorithm. IEEE Trans Autom Control2017; 62: 2999–3005.
31.
WangZ. Adaptive smooth second-order sliding mode control method with application to missile guidance. Trans Inst Meas Control2017; 39: 848–860.
32.
Moreno JA and Osorio M. A Lyapunov approach to second-order sliding mode controllers and observers. In: 47th IEEE conference on decision and control, Cancun, Mexico, 9–11 December 2008, pp.2856–2861. New York: IEEE.
33.
MorenoJAOsorioM. Strict Lyapunov functions for the super-twisting algorithm. IEEE Trans Autom Control2012; 57: 1035–1040.
34.
PolyakovAPoznyakA. Reaching time estimation for “super-twisting” second order sliding mode controller via Lyapunov function designing. IEEE Trans Autom Control2009; 54: 1951–1955.
35.
TianBYinLWangH. Finite-time reentry attitude control based on adaptive multivariable disturbance compensation. IEEE Trans Ind Electron2015; 62: 5889–5898.
36.
BhatSPBernsteinDS. Finite-time stability of continuous autonomous systems. SIAM J Control Optim2000; 38: 751–766.
37.
UmetaniYYoshidaK. Resolved motion rate control of space manipulators with generalized Jacobian matrix. IEEE Trans Robot Autom1989; 5: 303–314.
38.
YangJLiSYuX. Sliding-mode control for systems with mismatched uncertainties via a disturbance observer. IEEE Trans Ind Electron2013; 60: 160–169.
39.
FengYHanXWangYet al.Second-order terminal sliding mode control of uncertain multivariable systems. Int J Control2007; 80: 856–862.
40.
DongQZongQTianBet al.Adaptive-gain multivariable super-twisting sliding mode control for reentry RLV with torque perturbation. Int J Robust Nonlin2017; 27: 620–638.
