This paper proposes the adaptive parallel observer system (APOS), a multirate estimation technique for discrete time systems, to compensate for output measurements that are available only periodically and for systems whose frequency content is beyond that of the Nyquist frequency. The APOS provides the controller with stable state and system parameter estimates, which allow for the extraction of the system damping ratio and resonant frequency despite the presence of aliasing. A stability proof and error bounds are provided. The APOS is applied to the actuator dynamics of an IBM Head/Disk Assembly (HDA) System, and the APOS parameter estimates are used to extract values of the system damping ratio and aliased resonant frequency via a trained neural network.
An Adaptive Parallel Observer System for Multirate Systems and Frequency-Aliased Output Measurements
Contributed by the Dynamic Systems, Measurement, and Control Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the ASME Dynamic Systems and Control Division April 11, 2001; final revision, December 10, 2002. Associate Editor: J. Tu.
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Thein, M. L., and Misawa, E. A. (September 18, 2003). "An Adaptive Parallel Observer System for Multirate Systems and Frequency-Aliased Output Measurements ." ASME. J. Dyn. Sys., Meas., Control. September 2003; 125(3): 303–309. https://doi.org/10.1115/1.1590684
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