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Abstract:
Considering system modeling uncertainty of active magnetic bearing (AMB),
the robust control model for racial AMB is built, and a method is
presented to design a μ robust controller with structured singular value
as an optimal indicator. On the basis of analyzing AMB, the performance
robustness problem is transformed into the stability robustness problem
of the augmented system by introducing fictive uncertainty. It can be
solved with D-K iteration. The stability robustness and the performance
robustness are obtained simultaneously to reduce designing conservation.
The simulative waveforms of control system are accomplished to check the
robustness of H∞ control and μ control for AMB system under different
circumstances of uncertainty and external disturbance by using Matlab,
and the comparison between H∞ control and μ control is performed. The
simulation results show that the robust control for AMB based on μ
synthesis theory has better dynamic characteristic, stronger stability
robustness and performance robustness to system model uncertainty and
the external disturbances can be con-trolled effectively, with respect
to the system model perturbations in the allowed range.
Key words: Active magnetic bearing(AMB) Robust control
Model uncertainty Structured singular value μ synthesis
CLC No: TH133.3 TP273
国家自然科学基金(50175013、50475073)和江苏省高技术研究计划(BG2006035)资助项目. Received 20060212, received in revised form 20061012
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