A matrix fraction approach to higher-order iterative learning control: 2-D dynamics through repetition-domain filtering (Q2702504)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A matrix fraction approach to higher-order iterative learning control: 2-D dynamics through repetition-domain filtering |
scientific article |
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2 July 2001
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iterative learning control
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matrix fraction approach
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filtering
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repetitive domain frequency
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one-dimensional multivariable design problem
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convergence
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gain matrices
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filters
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error analysis
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A matrix fraction approach to higher-order iterative learning control: 2-D dynamics through repetition-domain filtering (English)
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A matrix fraction approach to iterative learning control (ILC) is presented focusing on the two-dimensional nature of the problem. It is noted that ILC is fundamentally a special case of a two-dimensional system and shown how ``filtering'' in the repetitive domain can be interpreted as transforming the two-dimensional system design problem into a one-dimensional multivariable design problem. Conditions for ILC convergence in terms of the ILC gain matrices (or filters) are derived using a matrix fraction approach and the final value theorem is used to identify conditions for ILC convergence with zero error.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00062].
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