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New Stable Inverses of Linear Discrete Time Systems and Application to Iterative Learning Control

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서명/저자사항New Stable Inverses of Linear Discrete Time Systems and Application to Iterative Learning Control.
개인저자Ji, Xiaoqiang .
단체저자명Columbia University. Mechanical Engineering.
발행사항[S.l.]: Columbia University., 2019.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2019.
형태사항143 p.
기본자료 저록Dissertations Abstracts International 81-04B.
Dissertation Abstract International
ISBN9781392640357
학위논문주기Thesis (Ph.D.)--Columbia University, 2019.
일반주기 Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Longman, Richard W.
이용제한사항This item must not be sold to any third party vendors.This item must not be added to any third party search indexes.
요약Digital control needs discrete time models, but conversion from continuous time, fed by a zero order hold, to discrete time introduces sampling zeros which are outside the unit circle, i.e. non-minimum phase (NMP) zeros, in the majority of the systems. Also, some systems are already NMP in continuous time. In both cases, the inverse problem to find the input required to maintain a desired output tracking, produces an unstable causal control action. The control action will grow exponentially every time step, and the error between time steps also grows exponentially. This prevents many control approaches from making use of inverse models.The problem statement for the existing stable inverse theorem is presented in this work, and it aims at finding a bounded nominal state-input trajectory by solving a two-point boundary value problem obtained by decomposing the internal dynamics of the system. This results in the causal part specified from the minus infinity time
일반주제명Mechanical engineering.
Electrical engineering.
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