著者

原 辰次 Toni BAKHTIAR

出版者

一般社団法人 システム制御情報学会

雑誌

システム制御情報学会論文誌 (ISSN:13425668)

巻号頁・発行日

vol.19, no.10, pp.391-399, 2006-10-15 (Released:2011-10-13)

参考文献数

10

被引用文献数

2 4

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This paper is concerned with intrinsic control performance limitations achievable by feedback for single-input and multi-output (SIMO) possibley unstable and non-minimum phase linear discrete-time systems. We investigate two typical H2 optimal control problems, namely optimal tracking control problem and minmal energy control problem. We derive closed-form analytical expressions of the best achievable tracking error and minmal energy H2 norms. The former consists of plant gain as well as unstable poles and non-minimum phase zeros of the plant, while the latter is only given by unstable poles and non-minimum phase zeros of the plant. Those results are confirmed by several numerical examples, and they characterize easiness and difficulty of plants to be controlled.