TY - GEN
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.
UR - http://www.scopus.com/inward/record.url?scp=84871960328&partnerID=8YFLogxK
U2 - 10.1109/EEEI.2012.6376908
DO - 10.1109/EEEI.2012.6376908
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AN - SCOPUS:84871960328
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 -