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Nonlinear control for robust rejection of periodic disturbances

✍ Scribed by Richard C.H. Lee; Malcolm C. Smith

Book ID
104301350
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
173 KB
Volume
39
Category
Article
ISSN
0167-6911

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✦ Synopsis

Consider a linear plant with a strictly proper rational transfer function and an input which is a known periodic waveform of unknown amplitude and phase. In the case when the periodic waveform has inΓΏnitely many non-zero harmonics, it is pointed out that for a wide class of linear, time-invariant (inΓΏnite-dimensional) controllers, it is not possible to robustly stabilize the plant and achieve asymptotic rejection of the disturbance. For a speciΓΏc linear plant and a triangular wave disturbance, it is shown by construction that the problem is soluble with a nonlinear controller. Robustness is measured using the gap metric robust stability margin.

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