Robust fuzzy control of mechanical systems
Por:
Tang Y., Vélez-Díaz D.
Publicada:
1 ene 2003
Resumen:
This paper considers the problem of controlling a mechanical system described by Euler-Lagrange equations to follow a desired trajectory in the presence of uncertainties. A fuzzy logic system (FLS) is used to approximate the unknown dynamics of the system. Based on the a priori information, the premise part of the FLS as well as a nominal weight matrix are designed first and are fixed. A compensation signal to the weight matrix error is designed based on Lyapunov analysis. To further reduce the tracking error due to the function reconstruction error, a second compensation signal is also synthesized. By running two estimators online for weight matrix error bound and function reconstruction error bound, the implementation of the proposed controller needs no a priori information on these bounds. Exponential tracking to a desired trajectory upto a uniformly ultimately bounded error is achieved with the proposed control. The effectiveness of this control is demonstrated through simulation and experiment results. These results also show that by incorporating a priori informations about the system, the fuzzy logic control can result good tracking behavior using a few fuzzy IF-THEN rules.
Filiaciones:
Tang Y.:
DEPFI-UNAM, 04510 Mexico City, Mexico
PIMAyC-IMP, Mexico City, Mexico
Vélez-Díaz D.:
DEPFI-UNAM, 04510 Mexico City, Mexico
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