Using canonical models for LQR and H-infinity control of structures

I. Halperin; G. Agranovich; Y. Ribakov

doi:https://doi.org/10.1109/EEEI.2012.6376908

Using canonical models for LQR and H-infinity control of structures

I. Halperin, G. Agranovich, Y. Ribakov

Ariel University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

According to the seismic modal approach, optimal modal control design should derive a control signal affecting only the dominant modal coordinates. However, existence of an optimal state feedback, affecting only a selected set of modes, is questionable. This study proves the existence of optimal modal feedback for the case of infinite horizon LQR and H_∞ control methods. It defines a modal state space model by using a new state-space similarity transformation and solves the corresponding algebraic Riccati's equation. The solution is based on the selection of LQR weighting and H _∞ output matrices. A modal design method is formulated and the spillover effect for the controlled structure is introduced.

Original language	English
Title of host publication	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
DOIs	https://doi.org/10.1109/EEEI.2012.6376908
State	Published - 2012
Event	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012 - Eilat, Israel Duration: 14 Nov 2012 → 17 Nov 2012

Publication series

Name	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012

Conference

Conference	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
Country/Territory	Israel
City	Eilat
Period	14/11/12 → 17/11/12

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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https://doi.org/10.1109/EEEI.2012.6376908

Cite this

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title = "Using canonical models for LQR and H-infinity control of structures",

abstract = "According to the seismic modal approach, optimal modal control design should derive a control signal affecting only the dominant modal coordinates. However, existence of an optimal state feedback, affecting only a selected set of modes, is questionable. This study proves the existence of optimal modal feedback for the case of infinite horizon LQR and H∞ control methods. It defines a modal state space model by using a new state-space similarity transformation and solves the corresponding algebraic Riccati's equation. The solution is based on the selection of LQR weighting and H ∞ output matrices. A modal design method is formulated and the spillover effect for the controlled structure is introduced.",

author = "I. Halperin and G. Agranovich and Y. Ribakov",

year = "2012",

doi = "https://doi.org/10.1109/EEEI.2012.6376908",

language = "الإنجليزيّة",

isbn = "9781467346801",

series = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012",

booktitle = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012",

note = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012 ; Conference date: 14-11-2012 Through 17-11-2012",

}

Halperin, I, Agranovich, G & Ribakov, Y 2012, Using canonical models for LQR and H-infinity control of structures. in 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012., 6376908, 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012, 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012, Eilat, Israel, 14/11/12. https://doi.org/10.1109/EEEI.2012.6376908

Using canonical models for LQR and H-infinity control of structures. / Halperin, I.; Agranovich, G.; Ribakov, Y.
2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012. 2012. 6376908 (2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Using canonical models for LQR and H-infinity control of structures

AU - Halperin, I.

AU - Agranovich, G.

AU - Ribakov, Y.

PY - 2012

Y1 - 2012

N2 - According to the seismic modal approach, optimal modal control design should derive a control signal affecting only the dominant modal coordinates. However, existence of an optimal state feedback, affecting only a selected set of modes, is questionable. This study proves the existence of optimal modal feedback for the case of infinite horizon LQR and H∞ control methods. It defines a modal state space model by using a new state-space similarity transformation and solves the corresponding algebraic Riccati's equation. The solution is based on the selection of LQR weighting and H ∞ output matrices. A modal design method is formulated and the spillover effect for the controlled structure is introduced.

AB - According to the seismic modal approach, optimal modal control design should derive a control signal affecting only the dominant modal coordinates. However, existence of an optimal state feedback, affecting only a selected set of modes, is questionable. This study proves the existence of optimal modal feedback for the case of infinite horizon LQR and H∞ control methods. It defines a modal state space model by using a new state-space similarity transformation and solves the corresponding algebraic Riccati's equation. The solution is based on the selection of LQR weighting and H ∞ output matrices. A modal design method is formulated and the spillover effect for the controlled structure is introduced.

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DO - https://doi.org/10.1109/EEEI.2012.6376908

M3 - منشور من مؤتمر

SN - 9781467346801

T3 - 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012

BT - 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012

T2 - 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012

Y2 - 14 November 2012 through 17 November 2012

ER -

Using canonical models for LQR and H-infinity control of structures

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