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Abstract

This paper proposes a robust control strategy for module manipulators based on sliding mode control (SMC) and an extended state observer (ESO). First, the nth-order system function is reduced into a first-order function whose argument is the sliding mode. Based on the generalized system, the structured and/or unstructured system non-linear uncertainties are lumped together to form a gross uncertainty which can be estimated by the ESO as an extended state in real time. Then, a controller of the generalized system is designed using SMC based on the extended state. The stability of the system is strictly analysed via the Lyapunov stability theorem approach. This method is applied to the control problem for robot manipulators. Trajectory tracking problems of the joints in a PowerCube robot manipulator are investigated with simulations to validate the analysis.

Keywords

robot manipulator extended state observer trajectory tracking sliding mode control robust control

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References

Spong

M. W.

Vidyasagar

Robot dynamics and control (Wiley, New York 1989)

Slotine

J. E.

Applied nonlinear control (Prentice-Hall, Englewood Cliffs, New Jersey 1991)

Lewis

F. L.

Jagannathan

Yesildirek

Neural network control of robot manipulators and nonlinear systems (Taylor and Francis, London, UK. 1999)

Benosman

le Vey

‘Control of flexible manipulators: A survey.’

Robotica 22 (5) (2004): 533–545

Sadati

Ghadami

‘Adaptive multi-model sliding mode control of robotic manipulators using soft computing.’

Neurocomputing 71 (13-15) (2008): 2702–2710

Luh

J. Y. S.

‘Conventional controller design for industrial robots-a tutorial.’

IEEE Trans. Syst. Man Cybern. Part B: Cybern 13 (3) (1983): 298–316

Song

Z. S.

J. Q.

Zhao

D. B.

X. C.

‘A computed torque controller for uncertain robotic manipulator systems: Fuzzy approach.’

Fuzzy Sets Syst. 154 (2) (2005): 208–226

Ferrara

Magnani

‘Motion control of rigid robot manipulators via first and second order sliding modes.’

J. Intell. Robot. Syst. 48 (1) (2007): 23–26

Abdelhameed

M. M.

‘Enhancement of sliding mode controller by fuzzy logic with application to robotic manipulators.’

Mechatronics 15 (4) (2005): 439–458

10.

Purwar

Kar

I. N.

Jha

A. N.

‘Adaptive output feedback tracking control of robot manipulators using position measurement only.’

Expert Syst. Appl. 34 (4) (2008): 2789–2798

11.

Bejczy

A. K.

, Robot arm dynamics and control, Technical memorandum 33-669, Jet Propulsion Laboratory, 1974

12.

Tan

K. K.

Huang

S. N.

Lee

T. H.

‘Decentralized adaptive controller design of large-scale uncertain robotic systems.’

Automatica 45 (1) (2009): 161–166

13.

Eom

K. S.

Suh

I. H.

Chung

W. K.

‘Disturbance observer based path tracking control of robot manipulator considering torque saturation.’

Mechatronics 11 (3) (2001): 325–343

14.

Chu

Z. Y.

Sun

F. C.

Cui

‘Disturbance observer-based robust control of free-floating space manipulators.’

IEEE Syst. J. 2 (1) (2008): 114–119

15.

Han

J. Q.

‘The ‘extended state observer’ for a class of uncertain systems.’

Control Decis. 10 (1) (1995): 85–88

16.

Huang

Han

J. Q.

‘New synthesis method for uncertain systems-the self-stable region approach.’

Int. J. Syst. Sci. 30 (1) (1999): 33–38

17.

Han

J. Q.

‘Error analysis of the second order ESO.’

J. Syst. Sci. Math. Sci. 19 (4) (1999): 465–471

18.

Han

J. Q.

‘From PID to active disturbance rejection control.’

IEEE Trans. Ind. Electron. 56 (3) (2009): 900–906

19.

Wang

W. W.

Gao

Z. Q.

‘A comparison study of advanced state observer design techniques.’ In Proceedings of the

American control conference, Denver, Colorado, 4-6 June 2003, pp. 4754–4759 (Institute of Electrical and Electronics Engineers Inc., Los Alamitos).

20.

Slotine

J. J. E.

Coetsee

J. A.

‘Adaptive sliding control synthesis for nonlinear systems.’

Int. J. Control 43 (6) (1986): 435–448

21.

Huang

Luo

Z. W.

Svinin

Odashima

Hosoe

‘Extended state observer based technique for control of robot systems.’ In Proceedings of the Fourth World Congress on

Intelligent control and automation, Shanghai, China, 10-14 June, 2002, pp. 2807–2811 (Institute of Electrical and Electronics Engineers Inc., Los Alamitos).

22.

Seraji

‘A new approach to adaptive control of manipulators.’

Trans. ASME, J. Dyn. Syst. Meas. Control 109 (1987): 192–202

New robust control strategy for module manipulators via sliding mode control with an extended state observer

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