H2 Performance Analysis and Synthesis for Discrete-Time Linear Systems with Dynamics Determined by an i.i.d. Process

Yohei Hosoe; Takashi Okamoto; Tomomichi Hagiwara

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arXiv · 2209.03606

H2 Performance Analysis and Synthesis for Discrete-Time Linear Systems with Dynamics Determined by an i.i.d. Process

Yohei Hosoe·Takashi Okamoto·Tomomichi Hagiwara

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Abstract

This paper is concerned with H2 control of discrete-time linear systems with dynamics determined by an independent and identically distributed (i.i.d.) process. A definition of H2 norm is first discussed for the class of systems. Then, a linear matrix inequality (LMI) condition is derived for the associated performance analysis, which is tractable in the sense of numerical computation. The results about analysis are also extended toward state-feedback controller synthesis.

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Yohei Hosoe, Takashi Okamoto, Tomomichi Hagiwara. 2022-09-08. H2 Performance Analysis and Synthesis for Discrete-Time Linear Systems with Dynamics Determined by an i.i.d. Process. https://arxiv.org/abs/2209.03606

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