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Abstract

Tracking control of manipulators with joint flexibility is considered. Singular perturbation techniques are employed to decompose the system dynamics into reduced-order models in separate time-scales. Based on these reduced-order models, a two time-scale composite control strategy is adopted and three control laws developed: (i) Continuous Composite Control (CCC), (ii) Sliding Mode Composite Control (SMCC) and (iii) Extended Sliding Mode Composite Control (ESMCC). The SMCC controller enables accurate tracking to be maintained in the presence of payload variations which degrade the performance of the CCC controller, while the ESMCC controller also compensates for the effects of parameter variations on the fast system states, a problem which has not previously been addressed. Simulations of an RTX robot are employed to evaluate the relative performances of these control laws.

Keywords

Robotics joint elasticity sliding mode control.

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References

Albus, J.S. 1975. new approach to manipulator control: the cerebellar model articulation controller (CMAC)', Trans ASME J Dynamic Systems, Measurement and Control, 97, 220-227.

Bailey, E. and Arapostathis, A. 1987. 'Simple sliding mode control scheme applied to robotic manipulators', Int J Control, 45(4), 1197-1209.

Bassi, D.F. 1990. 'Connectionist dynamic control of robotic manipulators ', D Phil Thesis, Univ Southern California.

Freund, E. 1982. 'Fast nonlinear control with arbitrary pole-placement for industrial robots and manipulators', Int J Robotics Research , 1(1), 65-78,

Hung, J.Y. 1991. 'Control of industrial robots that have transmission elasticity ', IEEE Trans Ind Electronics, 38(6), 421-427.

Khorasani, K. 1990. 'Nonlinear feedback control of flexible joint manipulators: A single link case study', IEEE Trans Aut Control, 35(10), 1145-1149.

Khorasani, K. , and Kokotovic, P.V. 1985. 'Feedback linearization of a flexible manipulator near its rigid body manifold', Syst Cont Lett, 6, 187-192.

Makino, H. , and Furuta, N. 1980. 'Selective compliance assembly robot arm', 16th ISIR Assembly Automation Conference, Brighton, UK.

Niscosia, S. , and Tomei, P. 1984. 'Model reference adaptive control algorithms for industrial robots'; Automatica, 20(5), 635-644.

10.

Riven, E. 1988. Mechanical design of robots. McGraw-Hill Book Co, New York.

11.

Slotine, J.J.E. 1984. 'Sliding controller design for nonlinear systems', Int J Control, 40, 421-434.

12.

Slotine, J.J.E. , and Li, W. 1987. 'On the adaptive control of robot manipulators', Int J Robotics Research, 6, 49-59.

13.

Slotine, J.J.E. , and Sastry, S.S. 1983. 'Tracking control of non-linear systems using sliding surfaces, with application to robotic manipulators', Int J Control, 38(2), 465-492.

14.

Spong, M.W. 1987. 'Modelling and control of elastic joint robots', Trans ASME J Dyn Sys Meas Cont, 109, 1-9.

15.

Spong, M.W. , Khorasani, K. , and Kokotovic, P.V. 1987. 'An integral manifold approach to the feedback control of flexible joint robots', IEEE J Rob Aut, RA-3(4), 291-300.

16.

Sweet, C.M. , and Good, M.C. 1985. 'Redefinition of the robot motion control problem', IEEE Control Systems Magazine, 5(3), 18-25.

17.

Tarn, T.J. , et al. 1984. 'Nonlinear feedback in robot arm control ', Proc 23rd IEEE Conf Decision and Control, Las Vegas.

18.

Tihonov, A.N. 1952. 'Systems of differential equations containing a small parameter multiplying the derivative', Mat Sb, 31(73), 575-586.

19.

Utkin, V.I. 1972. 'Equations of slipping regime in discontinuous systems, II', Avtomatika i Telemekhanika, 2, 51-61.

20.

Utkin, V.I. 1977. 'Variable structure systems: Present and Future', IEE Trans Automatic Control, 22(2), 212-222.

21.

Wijesoma, S.W. , and Richards, R.J. 1990. 'Robust trajectory following of robots using computed torque structure with VSS', Int J Control, 52(4), 935-962.

22.

Wilson, G.A. , and Irwin, G.W. 1993. 'Tracking control of manipulators with elastic joints ', Proc 2nd IEEE Conference on Control Applications , Vancouver.

23.

Wilson, G.A. , Dodds, G.I. , and Irwin, G.W. 1992. 'Development of a transputer based hardware/software system for the control of a SCARA robot'. In: Proc Int Conf on Parallel Computing and Transputer Applications, Barcelona, 1433-1440.

24.

Young, K-K. D. 1988. 'A variable structure model following control design for robotics applications', IEEE J Robotics and Automation, 4(5), 556-561.

Robust tracking of elastic joint manipulators using sliding mode control

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