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
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