Necessary and sufficient conditions under which a discrete time h 2-Optimal control problem has an unique solution

Benmei Chen; Saberi Ali; Shamash Yacov

Necessary and sufficient conditions under which a discrete time h ₂-Optimal control problem has an unique solution

Benmei Chen
, Saberi Ali
, Shamash Yacov

Electrical Engineering

National University of Singapore
Washington State University Pullman

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A set of necessary and sufficient conditions under which a general discrete timeH₂-optimal control problem has a unique solution is derived. It is shown that the solution for a discrete time H₂-optimal control problem,if it exists,is unique if and only if i) the transfer function from the control input to the controlled output is left invertible, and ii) the transfer function from the disturbance to the measurement output is right invertible.

Original language	English
Journal	Kongzhi Lilun Yu Yingyong/Control Theory and Applications
Volume	13
Issue number	6
State	Published - 1996

Keywords

Discrete-time disturbance decoupling
Discrete-time systems
H optimal control
Q-parameterization

Cite this

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title = "Necessary and sufficient conditions under which a discrete time h 2-Optimal control problem has an unique solution",

abstract = "A set of necessary and sufficient conditions under which a general discrete timeH2-optimal control problem has a unique solution is derived. It is shown that the solution for a discrete time H2-optimal control problem,if it exists,is unique if and only if i) the transfer function from the control input to the controlled output is left invertible, and ii) the transfer function from the disturbance to the measurement output is right invertible.",

keywords = "Discrete-time disturbance decoupling, Discrete-time systems, H optimal control, Q-parameterization",

author = "Benmei Chen and Saberi Ali and Shamash Yacov",

year = "1996",

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journal = "Kongzhi Lilun Yu Yingyong/Control Theory and Applications",

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AU - Chen, Benmei

AU - Ali, Saberi

AU - Yacov, Shamash

PY - 1996

Y1 - 1996

N2 - A set of necessary and sufficient conditions under which a general discrete timeH2-optimal control problem has a unique solution is derived. It is shown that the solution for a discrete time H2-optimal control problem,if it exists,is unique if and only if i) the transfer function from the control input to the controlled output is left invertible, and ii) the transfer function from the disturbance to the measurement output is right invertible.

AB - A set of necessary and sufficient conditions under which a general discrete timeH2-optimal control problem has a unique solution is derived. It is shown that the solution for a discrete time H2-optimal control problem,if it exists,is unique if and only if i) the transfer function from the control input to the controlled output is left invertible, and ii) the transfer function from the disturbance to the measurement output is right invertible.

KW - Discrete-time disturbance decoupling

KW - Discrete-time systems

KW - H optimal control

KW - Q-parameterization

UR - https://www.scopus.com/pages/publications/71149101776

M3 - Article

AN - SCOPUS:71149101776

SN - 1000-8152

VL - 13

JO - Kongzhi Lilun Yu Yingyong/Control Theory and Applications

JF - Kongzhi Lilun Yu Yingyong/Control Theory and Applications

IS - 6

ER -

Necessary and sufficient conditions under which a discrete time h ₂-Optimal control problem has an unique solution

Abstract

Keywords

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