An internal state decomposition approach to a discrete-time control problem with irrational input non-minimum phase property

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• 作者：Kotaro Hashikura^a ; ^{hashikura-kotaro@sd.tmu.ac.jp} ; Yoshito Ohta^b ; ^{yoshito_ohta@i.kyoto-u.ac.jp} ; Akira Kojima^a ; ^{akojima@sd.tmu.ac.jp}
• 关键词：H2 control ; Irrational non-minimum phase property ; Smith predictor ; Truncation operator
• 刊名：Systems and Control Letters
• 出版年：2012
• 期刊代码：171_01676911
• 类别：et
• 出版时间：April, 2012
• 卷：61
• 期：4
• 页码：513-520
• 文件大小：346 K

摘要

An internal state decomposition approach to a class of discrete-time control problems with irrational non-minimum phase property at the control input is proposed. This is a generalization of the state-variable transformation to derive the discrete-time Smith predictor for a single input-delay system. The optimal controller is derived using the orthogonality principle in space as a direct consequence of the state decomposition. The characterization of the optimal cost by the previous and alternative truncation operators is also discussed.