Title :
Using canonical models for LQR and H-infinity control of structures
Author :
Halperin, I. ; Agranovich, G. ; Ribakov, Y.
Author_Institution :
Dept. of Electr. & Electron. Eng., Ariel Univ. Center of Samaria, Ariel, Israel
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.
Keywords :
H∞ control; Riccati equations; control system synthesis; linear quadratic control; state feedback; state-space methods; H-infinity control; H∞ output matrices; LQR control; algebraic Riccati equation; canonical models; control signal; controlled structure; dominant modal coordinates; infinite horizon control; modal state space model; optimal modal control design; optimal state feedback; seismic modal approach; spillover effect; state-space similarity transformation; weighting matrices; Aerospace electronics; Control design; Earthquakes; Eigenvalues and eigenfunctions; Equations; Mathematical model; Shock absorbers;
Conference_Titel :
Electrical & Electronics Engineers in Israel (IEEEI), 2012 IEEE 27th Convention of
Conference_Location :
Eilat
Print_ISBN :
978-1-4673-4682-5
DOI :
10.1109/EEEI.2012.6376908
