Notice of Violation of IEEE Publication PrinciplesApplication of linear quadratic regulator (LQR) in displacement control of an active mass damper

Notice of Violation of IEEE Publication Principles

"Application of Linear Quadratic Regulator (LQR) in Displacement Control of an Active Mass Damper"
by Mahdi Jalili-Kharaajoo, Yashar Nikouseresht, Amin Mohebbi, Behzad Moshiri, Alireza Esna Ashari,
in the Proceedings of the IEEE Conference on Control Applications 2003, pp. 73-77

After careful and considered review of the content and authorship of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE\´s Publication Principles.

This paper contains significant portions of original text from the paper cited below. The original text was copied without attribution (including appropriate references to the original author(s) and/or paper title) and without permission.

Due to the nature of this violation, reasonable effort should be made to remove all past references to this paper, and future references should be made to the following article:

"Optimal Displacement Feedback Control Law for Active Tuned Mass Damper"
by Ichiro Nagashima,
in Earthquake Engineering and Structural Dynamics, vol 30, Issue 8. pp 1221-1242, John Wiley and Sons, April 2001.

An optimal displacement feedback control law is derived for a vibration control of a single-degree-of-freedom structure with an active tuned mass damper (ATMD). Analytical expressions of the linear quadratic regulator (LQR) feedback gains for the ATMD are derived by solving the Ricatti equation straightforwardly. The mean-square responses of the structure as well as the auxiliary mass against Gaussian white noise excitations are evaluated by solving the Lyapunov equation analytically based on the stochastic optimal control theory. Using these analytical solutions, the optimal damping parameter for the auxiliary mass is also derived. Finally, the optimal displacement feedback control law is presented.