American Society of Civil Engineers

Linear Quadratic Gaussian-Alpha Control with Relative Stability and Gain Parameter for the Structural Benchmark Problems

by Sheng-Guo Wang, (Assoc. Prof., Dept. of Engrg. Technol. and Dept. of Electrical and Computer Engrg., Univ. of North Carolina at Charlotte, NC 28223-0001. E-mail:

Journal of Engineering Mechanics, Vol. 130, No. 4, April 2004, pp. 511-517, (doi:

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Document type: Journal Paper
Abstract: This paper introduces a linear quadratic Gaussian (LQG)-α 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-α 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.

ASCE Subject Headings:
Control systems
Structural control
Performance characteristics