Robust Generalized Minimum Variance Controller Using Neural Network for Civil Engineering Problems

This paper presents a robustness of the proposed generalized minimum variance algorithm. The main idea is to use artificial neural network for generalization of the GMV. This will give a neural network-based control method wich can be applied to civil engineering structures. The neural network learns the control task from an already existing controller, which is the generalized minimum variance (GMV) controller. The objective is to take advantage of the generalization capabilities and the nonlinear behavior of neural networks in order to overcome the limitations of the existing controller and even to improve its performances. Simulation results demonstrate the robustness of this algorithm and its capability to compensate the structural parameter variations and seismic ground motion.

[1]  Wen-Hwa Wu,et al.  Structural control considering soil–structure interaction effects , 1994 .

[2]  Sami F. Masri,et al.  MODELLING UNKNOWN STRUCTURAL SYSTEMS THROUGH THE USE OF NEURAL NETWORKS , 1996 .

[3]  Lennart Ljung,et al.  Theory and applications of self-tuning regulators , 1977, Autom..

[4]  Jamshid Ghaboussi,et al.  Active Control of Structures Using Neural Networks , 1995 .

[5]  Gary G. Yen Reconfigurable learning control in large space structures , 1994, IEEE Trans. Control. Syst. Technol..

[6]  Khaldoon A. Bani-Hani,et al.  NONLINEAR STRUCTURAL CONTROL USING NEURAL NETWORKS , 1998 .

[7]  Katsuhisa Furuta,et al.  Self-tuning control based on generalized minimum variance criterion for auto-regressive models , 2008, Autom..

[8]  M. Grimble Non-linear generalized minimum variance feedback, feedforward and tracking control , 2005, Autom..

[9]  Mohamed Seghir Boucherit,et al.  Generalized minimum variance control for buildings under seismic ground motion , 2001 .

[10]  Jann N. Yang,et al.  New Optimal Control Algorithms for Structural Control , 1987 .

[11]  L. G. Jaeger,et al.  Dynamics of structures , 1990 .

[12]  M. Mustafa,et al.  Robust minimum variance controller using over-parameterized controller , 2009 .

[13]  George A. Perdikaris Computer Controlled Systems , 1991 .

[14]  D. W. Clarke,et al.  Introduction to self-tuning controllers , 1985 .

[15]  Stephen A. Billings,et al.  Self-tuning and adaptive control: theory and applications , 1981 .

[16]  P. Gawthrop Some interpretations of the self-tuning controller , 1977 .