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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.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.2 pp.422-431

- Publication Date
- 2002/02/01

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- PAPER

- Category
- Systems and Control

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Young I. SON, Hyungbo SHIM, Kyoung-cheol PARK, Jin H. SEO, "Passification of Non-square Linear Systems Using an Input-dimensional Dynamic Feedforward Compensator" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 2, pp. 422-431, February 2002, doi: .

Abstract: 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.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_2_422/_p

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@ARTICLE{e85-a_2_422,

author={Young I. SON, Hyungbo SHIM, Kyoung-cheol PARK, Jin H. SEO, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={Passification of Non-square Linear Systems Using an Input-dimensional Dynamic Feedforward Compensator},

year={2002},

volume={E85-A},

number={2},

pages={422-431},

abstract={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.},

keywords={},

doi={},

ISSN={},

month={February},}

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TY - JOUR

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

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 422

EP - 431

AU - Young I. SON

AU - Hyungbo SHIM

AU - Kyoung-cheol PARK

AU - Jin H. SEO

PY - 2002

DO -

JO - IEICE TRANSACTIONS on Fundamentals

SN -

VL - E85-A

IS - 2

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - February 2002

AB - 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.

ER -