## Journal of Applied Mathematics

### Synchronized Control for Five-Story Building under Earthquake Loads

#### Abstract

Synchronized control is implemented for a five-story building under earthquake loads and its capabilities are investigated for protection of building under earthquake. In this regard, we applied ${H}_{\mathrm{2}}/\text{LQG}$ control algorithm in form of synchronized control for structural vibration reduction. Simulation results of modeling indicated that not only the provided control is able to reduce the responses of vibrations for the structure, but also it is even capable of supplying the objectives of synchronized control at the same time. Numerical results for uncontrolled, traditional ${H}_{\mathrm{2}}/\text{LQG}$ control and synchronized control coupled with ${H}_{\mathrm{2}}/\text{LQG}$ algorithm are presented. It is shown that for El Centro and Bam earthquakes the synchronized control is more efficient to reduce damage to the given structures.

#### Article information

Source
J. Appl. Math., Volume 2015 (2015), Article ID 507306, 8 pages.

Dates
First available in Project Euclid: 11 June 2015

https://projecteuclid.org/euclid.jam/1434042415

Digital Object Identifier
doi:10.1155/2015/507306

Mathematical Reviews number (MathSciNet)
MR3347334

#### Citation

Mesbahi, Javad; Malek, Alaeddin. Synchronized Control for Five-Story Building under Earthquake Loads. J. Appl. Math. 2015 (2015), Article ID 507306, 8 pages. doi:10.1155/2015/507306. https://projecteuclid.org/euclid.jam/1434042415

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