A nonlinear H∞control design in robotic systems under parameter perturbation and external disturbance
作者:
BOR-SEN CHEN,
TZANN-SHIN LEE,
JUI-HSUAN FENG,
期刊:
International Journal of Control
(Taylor Available online 1994)
卷期:
Volume 59,
issue 2
页码: 439-461
ISSN:0020-7179
年代: 1994
DOI:10.1080/00207179408923085
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A state feedback H∞optimal disturbance attenuation for the model reference control of rigid robotic systems is studied. The disturbances affecting the system dynamics come from the residue of the applied torques due to perturbations of the system parameters and external noise. The design objective is that the disturbance attentuation level must be less than or equal to a desired positive value γ. By combining the nonlinear minimax control technique with the work of Johansson (1990) we are able to present an explicit global solution to this nonlinear time-varying H∞-control problem. In particular, it turns out that if y, the desired attenuation level, is greater than the magnitude of the weighting matrix on control inputs, then a state feedback law achieving the desired performance can be explicitly constructed. Hence, it is advantageous to consider our approach for H∞tracking control of other physical systems, Finally, extensive simulations are made for tracking control of a two-link robotic manipulator with the proposed H∞designs.
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