Paper Info
Title
New discrete-time robust H2/H∞ algorithm for vibration control of smart structures using linear matrix inequalities.
Abstract
In real structural systems, such as a building structure or a mechanical system, due to inherent structural modeling approximations and errors, and changeable and unpredictable environmental loads, the structural response unavoidably involves uncertainties. These uncertainties can reduce the performance of a control algorithm significantly and possibly make it unstable. In this paper, based on the theories of the Bounded Real Lemma and the linear matrix inequalities (LMI), a novel discrete-time robust H2/H∞ control algorithm is presented which not only reduces the structural peak response caused by external dynamic forces but also is robust and stable in the presence of parametric uncertainties which is always the case in real-life structures. To facilitate practical implementation, the uncertainties of structural parameters are considered in the time domain as opposed to the frequency domain. Compared with traditional H∞ control methods, the new control algorithm proposes a convenient design procedure to facilitate practical implementations of active control of complex and large structural systems through the use of a quadratic performance index and the LMI-based solution method. The effectiveness of the new discrete-time robust H2/H∞ adaptive control algorithm is demonstrated using a three-story frame with active bracing systems (ABS) and a ten-story frame with an active tuned mass damper (ATMD).
Year
DOI
Venue
2016
10.1016/j.engappai.2016.05.008
Eng. Appl. of AI
Keywords
Field
DocType
Robust control,Discrete-time control,H2/H∞ control,Parametric uncertainties,Smart structures,Vibration control
Frequency domain,H-infinity methods in control theory,Time domain,Mathematical optimization,Computer science,Structural system,Parametric statistics,Discrete time and continuous time,Tuned mass damper,Robust control
Journal
Volume
Issue
ISSN
55
C
0952-1976
Citations 
PageRank 
References 
2
0.43
0
Authors
2
Name
Order
Citations
PageRank
Zhijun Li193991.73
Hojjat Adeli22150148.37