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The best achievable \(\mathbb H_2\) tracking performances for SIMO feedback control systems - MaRDI portal

The best achievable \(\mathbb H_2\) tracking performances for SIMO feedback control systems (Q983333)

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scientific article; zbMATH DE number 5759189
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The best achievable \(\mathbb H_2\) tracking performances for SIMO feedback control systems
scientific article; zbMATH DE number 5759189

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    The best achievable \(\mathbb H_2\) tracking performances for SIMO feedback control systems (English)
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    22 July 2010
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    Summary: This paper is concerned with the inherent \(\mathbb H_{2}\) tracking performance limitation of single-input and multiple-output (SIMO) linear time-invariant (LTI) feedback control systems. The performance is measured by the tracking error between a step reference input and the plant output with additional penalty on control input. We employ the plant augmentation strategy, which enables us to derive analytical closed-form expressions of the best achievable performance not only for discrete-time system, but also for continuous-time system by exploiting the delta domain version of the expressions.
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