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2012-57-9-TAC-信号变换跟踪控制任意参考信号
2294 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 57, NO. 9, SEPTEMBER 2012
Signal Transformation Approach to Tracking Control
With Arbitrary References
Ali Bazaei, Member, IEEE, and S. O. Reza Moheimani, Fellow, IEEE
Abstract— In this paper, we introduce a signal transformation of the measurement noise unaffected [19]–[28]. However,
(ST) methodology for tracking control of a large class of arbi- these methods are not suitable for tracking of time-varying
trary references. The method can improve tracking performance commands such as triangular waveforms or suffer from lack of
of ordinary one-degree-of-freedom (1-DoF) feedback control
structure, while keeping robustness against unmodeled dynamics robustness to plant uncertainties. Some adaptive controllers are
and limiting the projected measurement noise by ensuring a low also used for tracking of time-varying [29]; however, they are
closed-loop bandwidth. Using singular perturbation theory, suffi- prone to drift in integral adaptation gains or very high control
cient conditions for stability and convergence of the tracking error demands in the presence of measurement noise [30]. Iterative
are derived. Effectiveness of the proposed method is demonstrated
learning control (ILC) can also be added as a feed-forward
by simulations. It is shown how ST method can provide a better
control performance compared to ordinary 2-DoF feedback con- control action in a feedback system to improve the steady-state
trol systems having similar projected noise power, and maintain tracking error for repetitive references with
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