Passification of Non-square Linear Systems Using an Input-dimensional Dynamic Feedforward Compensator

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概要

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• We present a state-space approach to the problem of designing a parallel feedforward compensator (PFC), which has the same dimension of the input i.e. input-dimensional, for a class of non-square linear systems such that the closed-loop system is strictly passive. For a non-minimum phase system or a system with high relative degree, passification of the system cannot be achieved by any other methodologies except by using a PFC. In our scheme, we first determine a squaring gain matrix and an additional dynamics that is connected to the system in a feedforward way, then a static passifying control law is designed. Consequently, the actual feedback controller will be the static control law combined with the feedforward dynamics. Necessary and sufficient conditions for the existence of the PFC are given by the static output feedback formulation, which enables to utilize linear matrix inequality (LMI). Since the proposed PFC is input-dimensional, our design procedure can be viewed as a solution to the low-order dynamic output feedback control problem in the literature. The effectiveness of the proposed method is illustrated by some numerical examples.

• 社団法人電子情報通信学会の論文
• 2002-02-01

著者

• Park K‐c

  School Of Electrical Engineering Seoul National University

• SON Young

  School of Electrical Engineering, Seoul National University

• SHIM Hyungbo

  Automation and Systems Research Institute, Seoul National University

• PARK Kyoung-cheol

  School of Electrical Engineering, Seoul National University

• SEO Jin

  School of Electrical Engineering, Seoul National University

• Shim Hyungbo

  School Of Electrical Engineering And Computer Science Seoul National University

• Park Kyoung-cheol

  School Of Electrical Engineering Seoul National University

• Seo J

  School Of Electrical Engineering And Computer Science Seoul National University

• Son Young

  Both Of The Npt Center And The Department Of Electrical Engineering Myongji University

• Seo Jin

  School Of Electrical Engineering And Computer Science Seoul National University

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