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Tip tracking control of a single-link flexible robot: A backstepping approach. (English) Zbl 0888.93045

The purpose of this important paper, tip tracking control, is investigated for a single-link flexible robot. The flexible beam is first lumped to a spring-mass system to which the so-called backstepping approach is applicable; then, two robust controllers and an adaptive controller are developed in the presence of system disturbances/uncertainties. The main result is the following: The controllers are rigorously proven to be able to achieve stable tip position and velocity tracking control in the sense of global uniform ultimate boundedness. Finally, the authors present numerical simulation results which show that the proposed controllers are effective.

MSC:

93C85 Automated systems (robots, etc.) in control theory
93C40 Adaptive control/observation systems
93B51 Design techniques (robust design, computer-aided design, etc.)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74M05 Control, switches and devices (“smart materials”) in solid mechanics
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