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Abstract

This paper considers the problem of designing a class of robust algorithms for the trajectory tracking control of an uncertain robot manipulator. The general control structure consists of two parts: the primary control law is first introduced to stabilize the nominal system and then a class of robust non-linear control laws are adopted to compensate for the system uncertainties by using the deterministic approach. The uncertainties assumed are bounded by higher-order polynomials in the Euclidean norms of system states with known (or unknown) bounding coefficients. The possible bounds of uncertainties are assumed to be known for the robust non-linear control with less computational burden. If no information on these bounds is available, then the adaptive bound of the robust controller is presented to overcome possible time-varying uncertainties, that is a decentralized adaptive control scheme. With a feasible class of desired trajectories, the proposed control laws guarantee that all possible responses of the corresponding closed-loop systems are at least uniformly ultimately bounded (UVB) by Lyapunov stability theory. The effectiveness of the proposed control algorithms are verified through numerical simulations. Finally, it is shown that the presented controllers are evaluated to be robust with respect to a given class of uncertainties.

Keywords

uncertain robot robust motion tracking model-based feedforward compensation variable structure (VS)adaptive control norms structured (unstructured) uncertainties Lyapunov stability uniform ultimate boundedness (UUB)deterministic approach chattering

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References

Craig

J. J.

Hsu

Sastry

S. S.

Adaptive control of mechanical manipulators. Int. J. Robotics Res., 1987, 6(2), 16–28.

Corless

M. J.

Leitmann

Adaptive control of systems containing uncertain functions and unknown functions with uncertain bounds. J. Optim. Theory Applications, 1983, 41(1), 155–168.

Chen

Y. H.

Robust control system design: Non-adaptive versus adaptive. Int. J. Control, 1990, 51(6), 1457–1477.

Dawson

D. M.

Lewis

F. L.

Dorsey

J. F.

Robust control for the tracking of robot motion. Int. J. Control, 1990, 52, 581–595.

Abdallah

Dawson

Dorato

Jamshidi

Survey of robust control for rigid robots. IEEE Control Systems, 1991, 11, 24–30.

Spong

M. W.

On the robust control of robot manipulators. IEEE Trans. Automn Control, 1992, 37(11), 1782–1786.

L. C.

Robust adaptive decentralized control of robot manipulators. IEEE Trans. Automn Control, 1992, 37(1), 106–110.

Shi

Singh

S. K.

Decentralized adaptive controller design for large-scale systems with higher order interconnections. IEEE Trans. Automn Control, 1992, 37(8), 1106–1118.

Global stabilization of nonlinear systems with a class of unmatched uncertainties. System and Control Lett., 1992, 18, 301–307.

10.

You

S. S.

Hall

J. L.

Robust tracking control for robot manipulators with significant uncertainties. Proceedings of Midwest Electro-Technology Conference, Ames, Iowa, 1994, pp. 80–83.

11.

Ioannou

P. A.

Kokotovic

P. V.

Instability analysis and the improvement of robustness of adaptive control. Automatica, 1984, 20(5), 583–594.

12.

Slotine

J. J.

On the adaptive control of robot manipulators. Int. J. Robotics Res., 1987, 6(3), 49–59.

13.

Ortega

Spong

M. W.

Adaptive motion control of rigid robots: A tutorial. Automatica, 1989, 25(6), 877–888.

14.

Sadegh

Horowitz

Stability and robustness analysis of a class of adaptive controllers for robotic manipulators. Int. J. Robotics Res., 1990, 9(3), 74–92.

15.

You

S. S.

Hall

J. L.

Model-based approach with adaptive bounds of robust controllers for robot manipulators. Proc. IEEE Int. SMC, 1994, 2, 1279–1284.

16.

You

S. S.

Dynamics and controls for robot manipulators with open and closed kinematic chain mechanisms. PhD dissertation, Iowa State University, Ames, Iowa, 1994.

17.

Sastry

Bodson

Adaptive control, stability, convergence, and robustness, 1989, Prentice-Hall, Englewood Cliffs, New Jersey).

Robust Motion Tracking Controllers for Uncertain Robot Manipulators

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