Linear quadratic Gaussian-alpha control with relative stability and gain parameter for the structural benchmark problems

This paper introduces a linear quadratic Gaussian (LQG)-alpha control with adjustable relative stability and gain parameter for the benchmark problems. The considered control algorithm is one active control methodology. It provides a various relative stability and introduces a gain parameter via a LQG design. The relative stability not only controls a guaranteed settling time for the system but also increases the controlled system,,robustness. The paper focuses on both wind- and earthquake-excited benchmark problems of the third generation. The simulation of this LQG-alpha control to these benchmark problems is provided. An additional simulation of the proposed control to a largely perturbed wind-excited benchmark problem is also provided. The control results, with respect to the evaluation criteria following the benchmark problems, are included for further comparison.