Results of the application of an advanced non-linear controller to the problem of joint motion control for a robot are presented. For a class of desired state motions a control strategy is expounded which ensures that the system asymptotically tracks the desired motion to any desired degree of accuracy. The results are applied to a three-degree-of-freedom tetrahedral robot. Simulation results and experimental studies are described.
BarmishB. R.LeitmannG.On uniform ultimate boundedness control of uncertain systems in the absence of matching assumptions. IEEE Trans. Autom. Control, 1982, 27, 153–249.
2.
CorlessM.Tracking controllers for uncertain system: Application to a Manutec R3 robot. Trans, ASME, J. Dynamic Systems, Measmt, and Control, 1989, 111, 609–618.
3.
CorlessM.LeitmannG.Deterministic control of uncertain systems: A Lyapunov theory approach. In Deterministic Control of Uncertain Systems (Ed. ZinoberA. S. I.), 1990, pp. 220–251 (Peter Peregrinus Press, London).
4.
RyanE. P.CorlessM.Ultimate boundedness and asymptotic stability of a class of uncertain dynamical systems via continuous and discontinuous feedback control. IMA J. Math. Control and Inf., 1984, 1, 223–242.
5.
ShinK. G.McKayN. D.Minimum-time control of robot manipulators with geometric path constraints. IEEE Trans. Autom. Control, 1985, 30, 531–541.
6.
ZinoberA. S. I. (Ed.) Variable Structure and Lyapunov Control, 1994 (Springer-Verlag, Berlin).
7.
SlotineJ. J.SastryS. S.Tracking control of non-linear systems using sliding surfaces, with application to robot manipulators. Int. J. Control, 1983, 38, 465–492.
8.
ZinoberA. S. I. (Ed.) Deterministic Control of Uncertain Systems, 1990 (Peter Peregrinus Press, London).
9.
SpongM. W.On the robust control of robot manipulators. IEEE Trans. Autom. Control, 1992, 37, 1782–1786.
10.
DwolatazkyB.ThorntonG. S.The GEC Tetrabot—a serial-parallel topology robot: Control design aspects. In Proceedings of the Control 88 Conference, Oxford, 1988, pp. 426–431.
11.
FengW.PostlethwaiteI.CorbettA. G.GEC Tetrabot modelling and simulation. Engineering Department, Leicester University Report 90–8, 1990.
12.
MundayC.VickersG.WilliamsJ.Alvey design to product demonstrator project, mechanical design of the assembly manipulator. GEC Engineering Research Centre, Mechanical Engineering Laboratory Research Report Serial MEL24.0628, 1985.
