Stability of discrete MIMO nonlinear closed-loop system based on Volterra series (Q2766035)
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scientific article; zbMATH DE number 1695295
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of discrete MIMO nonlinear closed-loop system based on Volterra series |
scientific article; zbMATH DE number 1695295 |
Statements
21 May 2002
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nonlinear transfer function matrix
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MIMO discrete nonlinear control system
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BIBO stability in the frequency domain
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0.88508266
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0.8735307
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0.8707608
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0.86581045
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0.8646687
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0.8644719
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0.8635498
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0.8624872
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0.86158174
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Stability of discrete MIMO nonlinear closed-loop system based on Volterra series (English)
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The authors study the stability of a discrete MIMO bilinear system, which is represented by a Volterra series. Using the multi-dimensional z-transfer, they obtain the following results: (1). The above system is stable in the frequency domain if the corresponding linear system is stable and the nonlinear transfer function matrices satisfy a suitable condition; (2). The BIBO stability in the frequency domain (FDBIBO) for the closed-loop control system can be obtained from its open-loop subsystem stability. A simulation example is presented to illustrate its validity.
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