Complementary Tracking Control for Linear Systems Subject to External Disturbances and Stochastic Noise
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Bibliographic record
Abstract
This paper is concerned with designing a multi-objective tracking controller for linear time-invariant systems subject to both unknown external disturbances and stochastic noise simultaneously. The proposed approach involves two controllers designed separately: a nominal tracking controller that achieves optimal tracking performance and a mixed H<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf>/H<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> controller that addresses the impacts of external disturbances and stochastic noise. The two controllers are then integrated together to ensure that the nominal optimal tracking performance and the mixed H<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf>/H<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> performance are complementary to each other, thereby overcoming the conservativeness exhibited in existing robust tracking control designs. Numerical comparisons demonstrate the advantages of the proposed controller over existing ones.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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