A Modified D-K Iteration Approach for the Decentralized ℋ∞ Control of Civil Structures with Parametric Uncertainties

Joint Authors

Huo, Linsheng
Li, Hong-Nan
Qu, Chunxu

Source

Mathematical Problems in Engineering

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-13

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Civil Engineering

Abstract EN

This paper presents a robust decentralized ℋ∞ controller design method to suppress the vibration of civil structures with the consideration of parametric uncertainties.

The decentralized ℋ∞ controller design is motivated by the double homotopy approach, which approximates the bilinear matrix inequality (BMI) derived from bounded real lemma to linear matrix inequality (LMI), and gradually deforms a centralized controller to a decentralized controller.

The centralized ℋ∞ controller can be designed for the civil structures with the parametric uncertainties through D-K iteration method in μ synthesis, which can consider the diagonal block pattern of the uncertain matrix.

This paper combines the double homotopy approach and D-K iteration method to design the robust decentralized ℋ∞ controller for the civil structures with parametric uncertainties.

The proposed method is validated numerically with a four-story building example.

American Psychological Association (APA)

Qu, Chunxu& Huo, Linsheng& Li, Hong-Nan. 2014. A Modified D-K Iteration Approach for the Decentralized ℋ∞ Control of Civil Structures with Parametric Uncertainties. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-461699

Modern Language Association (MLA)

Qu, Chunxu…[et al.]. A Modified D-K Iteration Approach for the Decentralized ℋ∞ Control of Civil Structures with Parametric Uncertainties. Mathematical Problems in Engineering No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-461699

American Medical Association (AMA)

Qu, Chunxu& Huo, Linsheng& Li, Hong-Nan. A Modified D-K Iteration Approach for the Decentralized ℋ∞ Control of Civil Structures with Parametric Uncertainties. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-461699

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-461699